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| ramanujan magic square: The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan Amy Alznauer, 2020-04-14 A young mathematical genius from India searches for the secrets hidden inside numbers — and for someone who understands him — in this gorgeous picture-book biography. A mango . . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach. In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. “What is small?” he wonders. “What is big?” Head in the clouds, Ramanujan struggles in school — but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived? Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares’s illustrations bring the wonder of Ramanujan’s world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author’s note recounting more of Ramanujan’s life and accomplishments, as well as the author’s father’s remarkable discovery of Ramanujan’s Lost Notebook. |
| ramanujan magic square: My Search for Ramanujan Ken Ono, Amir D. Aczel, 2016-04-20 The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity. |
| ramanujan magic square: The Book of the Sacred Magic of Abramelin the Mage , 2012-07-12 DIVMedieval manuscript of ceremonial magic. Basic document in Aleister Crowley, Golden Dawn groups. /div |
| ramanujan magic square: Masters of Mathematics Robert A. Nowlan, 2017-05-13 The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.” |
| ramanujan magic square: Ramanujan's Notebooks Srinivasa Ramanujan Aiyangar, 1985 |
| ramanujan magic square: Complex Algebraic Curves Frances Clare Kirwan, 1992-02-20 This development of the theory of complex algebraic curves was one of the peaks of nineteenth century mathematics. They have many fascinating properties and arise in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired in most undergraduate courses in mathematics, Dr. Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. |
| ramanujan magic square: Magic Squares John Lee Fults, 1974 |
| ramanujan magic square: Magic Squares and Cubes William Symes Andrews, 1908 |
| ramanujan magic square: Ramanujan’s Notebooks Bruce C. Berndt, 2012-12-06 Srinivasa Ramanujan is, arguably, the greatest mathematician that India has produced. His story is quite unusual: although he had no formal education inmathematics, he taught himself, and managed to produce many important new results. With the support of the English number theorist G. H. Hardy, Ramanujan received a scholarship to go to England and study mathematics. He died very young, at the age of 32, leaving behind three notebooks containing almost 3000 theorems, virtually all without proof. G. H. Hardy and others strongly urged that notebooks be edited and published, and the result is this series of books. This volume dealswith Chapters 1-9 of Book II; each theorem is either proved, or a reference to a proof is given. |
| ramanujan magic square: A Synopsis of Elementary Results in Pure and Applied Mathematics George Shoobridge Carr, 1880 |
| ramanujan magic square: Srinivasa Ramanujan K. Srinivasa Rao, 2004 Biography of Srinivasa Ramanujan Aiyangar, 1887-1920, mathematician from India. |
| ramanujan magic square: Ramanujan Srinivasa Ramanujan Aiyangar, 1995-09-07 The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996. |
| ramanujan magic square: Figurate Numbers Michel-marie Deza, Elena Deza, 2012-01-20 Figurate numbers have a rich history with many applications. The main purpose of this book is to provide a thorough and complete presentation of the theory of figurate numbers, giving much of their properties, facts and theorems with full proofs. This book is the first of this topic written in unified systematic way. It also contains many exercises with solutions. |
| ramanujan magic square: Collected Papers of Srinivasa Ramanujan Srinivasa Ramanujan, 2015-12-03 Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics. |
| ramanujan magic square: The Indian Clerk David Leavitt, 2009-08-17 The extraordinary true story of the discovery of one of history's greatest mathematicians in rural India. His life is the subject of the major film The Man Who Knew Infinity 'Excellent ... His Hardy is a superb creation' Sunday Telegraph 'A loving exploration of one of the greatest collaborations of the past century, The Indian Clerk is a novel that brilliantly orchestrates questions of colonialism, sexual identity and the nature of genius' Manil Suri January, 1913, Cambridge. G.H. Hardy - eccentric, charismatic and considered the greatest British mathematician of his age - receives a mysterious envelope covered with Indian stamps. Inside he finds a rambling letter from a self-professed mathematical genius who claims to be on the brink of solving the most important mathematical problem of his time. Hardy determines to learn more about this mysterious Indian clerk, Srinivasa Ramanujan, a decision that will profoundly affect not only his own life, and that of his friends, but the entire history of mathematics. Set against the backdrop of the First World War, and populated with such luminaries as D.H. Lawrence and Bertrand Russell, The Indian Clerk fashions from this fascinating period an utterly compelling story about our need to find order in the world. In 2016 a film, The Man Who Knew Infinity, inspired by the same life on which this book is based, was released, starring Dev Patel and Jeremy Irons. |
| ramanujan magic square: Ten Magic Butterflies Danica McKellar, 2019-02-12 Learn at home with help from The Wonder Years/Hallmark actress, math whiz, and New York Times bestselling author Danica McKellar using her acclaimed McKellar Math books! Fairies, butterflies, and magic help to make this math-focused board book positively enchanting! Join ten flower friends for a night of excitement that mixes a little math with a lot of magic. As each flower turns into a butterfly, children will discover different ways to group numbers to create ten, an essential building block of math, all while watching each flower's dream come true. (And keep an eye out for the adorable caterpillar who wishes he could fly, too!) In this, the second book in the McKellar Math line, Danica McKellar once again sneaks in secret addition and subtraction concepts to help make your child smarter and uses her proven math success to show children that loving numbers is as easy as a wave of a wand and a BING BANG BOO! [Danica McKellar's] bringing her love of numbers to children everywhere. --Brightly on Goodnight, Numbers Danica McKellar is now on a mission to make math fun for even the youngest of kids. --L.A. Parent Magazine Don't Miss Even More Math Fun in Bathtime Mathtime! |
| ramanujan magic square: Elementary Number Theory in Nine Chapters James J. Tattersall, 1999-10-14 This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. |
| ramanujan magic square: CRC Standard Mathematical Tables and Formulae, 32nd Edition Daniel Zwillinger, 2011-06-22 With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields. |
| ramanujan magic square: Mathematical Mysteries Calvin C. Clawson, 2013-11-09 A meditation on the beauty and meaning of numbers, exploring mathematical equations, describing some of the mathematical discoveries of the past millennia, and pondering philosophical questions about the relation of numbers to the universe. |
| ramanujan magic square: Srinivasa Ramanujan K. Srinivasa Rao, 2021-05-30 This book offers a unique account on the life and works of Srinivasa Ramanujan—often hailed as the greatest “natural” mathematical genius. Sharing valuable insights into the many stages of Ramanujan’s life, this book provides glimpses into his prolific research on highly composite numbers, partitions, continued fractions, mock theta functions, arithmetic, and hypergeometric functions which led the author to discover a new summation theorem. It also includes the list of Ramanujan’s collected papers, letters and other material present at the Wren Library, Trinity College in Cambridge, UK. This book is a valuable resource for all readers interested in Ramanujan’s life, work and indelible contributions to mathematics. |
| ramanujan magic square: Mathematics of Public Key Cryptography Steven D. Galbraith, 2012-03-15 This advanced graduate textbook gives an authoritative and insightful description of the major ideas and techniques of public key cryptography. |
| ramanujan magic square: The Crest of the Peacock George Gheverghese Joseph, 1992 |
| ramanujan magic square: The Kingdom of Infinite Number Bryan Bunch, Bryan H. Bunch, 2001-09-15 A guide to numbers, suggesting ways of looking at individual numbers and their unique properties. |
| ramanujan magic square: A Passion for Mathematics Clifford A. Pickover, 2011-02-25 A Passion for Mathematics is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. Readers will encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more. A Passion for Mathematics will feed readers’ fascination while giving them problem-solving skills a great workout! |
| ramanujan magic square: Famous Puzzles of Great Mathematicians Miodrag Petković, 2009-01-01 |
| ramanujan magic square: The Number Sense Stanislas Dehaene, 2011-04-29 Our understanding of how the human brain performs mathematical calculations is far from complete. In The Number Sense, Stanislas Dehaene offers readers an enlightening exploration of the mathematical mind. Using research showing that human infants have a rudimentary number sense, Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. But how then did we leap from this basic number ability to trigonometry, calculus, and beyond? Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. Tracing the history of numbers, we learn that in early times, people indicated numbers by pointing to part of their bodies, and how Roman numerals were replaced by modern numbers. On the way, we also discover many fascinating facts: for example, because Chinese names for numbers are short, Chinese people can remember up to nine or ten digits at a time, while English-speaking people can only remember seven. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how math can open up a window on the human mind-- Provided by publisher. |
| ramanujan magic square: The Zen of Magic Squares, Circles, and Stars Clifford A. Pickover, 2004-01-18 Provides a history of magic squares and similar structures, describing their construction and classification, along with informaiton on newly discovered objects. |
| ramanujan magic square: An Imaginary Tale Paul Nahin, 2010-02-22 Today complex numbers have such widespread practical use--from electrical engineering to aeronautics--that few people would expect the story behind their derivation to be filled with adventure and enigma. In An Imaginary Tale, Paul Nahin tells the 2000-year-old history of one of mathematics' most elusive numbers, the square root of minus one, also known as i. He recreates the baffling mathematical problems that conjured it up, and the colorful characters who tried to solve them. In 1878, when two brothers stole a mathematical papyrus from the ancient Egyptian burial site in the Valley of Kings, they led scholars to the earliest known occurrence of the square root of a negative number. The papyrus offered a specific numerical example of how to calculate the volume of a truncated square pyramid, which implied the need for i. In the first century, the mathematician-engineer Heron of Alexandria encountered I in a separate project, but fudged the arithmetic; medieval mathematicians stumbled upon the concept while grappling with the meaning of negative numbers, but dismissed their square roots as nonsense. By the time of Descartes, a theoretical use for these elusive square roots--now called imaginary numbers--was suspected, but efforts to solve them led to intense, bitter debates. The notorious i finally won acceptance and was put to use in complex analysis and theoretical physics in Napoleonic times. Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts and mathematical discussions, including the application of complex numbers and functions to important problems, such as Kepler's laws of planetary motion and ac electrical circuits. This book can be read as an engaging history, almost a biography, of one of the most evasive and pervasive numbers in all of mathematics. Some images inside the book are unavailable due to digital copyright restrictions. |
| ramanujan magic square: Stamping through Mathematics Robin J. Wilson, 2006-05-07 The astonishing variety and beauty of mathematical elements in stamp design is brought to life in this collection of more than 350 stamps, each reproduced in enlarged format, in full color. With simple explantory text to accompany each stamp, the book makes the perfect gift for students, teachers, and anyone interested in the fascinating world of stamps, and mathematics. |
| ramanujan magic square: Book Of Numbers Shakuntala Devi, 2006 Shakuntala Devi, the Human Computer, explains and simplifies everything you always wanted to know about numbers but was difficult to understand. This book contains all we ever wanted to know about numbers. Divided in three parts, the first will tells you everything about numbers, the second some anecdotes related with numbers and mathematicians, and the third some important tables that will help you always. |
| ramanujan magic square: Mathemagics Arthur Benjamin, Michael Shermer, 1998 Using proven techniques, this volume shows how to add, subtract, multiply and divide faster than is possible with a calculator or pencil and paper, and helps readers conquer their nervousness about math. |
| ramanujan magic square: Constraint-Based Local Search Pascal Van Hentenryck, Laurent Michel, 2009 Introducing a method for solving combinatorial optimization problems that combines the techniques of constraint programming and local search. The ubiquity of combinatorial optimization problems in our society is illustrated by the novel application areas for optimization technology, which range from supply chain management to sports tournament scheduling. Over the last two decades, constraint programming has emerged as a fundamental methodology to solve a variety of combinatorial problems, and rich constraint programming languages have been developed for expressing and combining constraints and specifying search procedures at a high level of abstraction. Local search approaches to combinatorial optimization are able to isolate optimal or near-optimal solutions within reasonable time constraints. This book introduces a method for solving combinatorial optimization problems that combines constraint programming and local search, using constraints to describe and control local search, and a programming language, COMET, that supports both modeling and search abstractions in the spirit of constraint programming. After an overview of local search including neighborhoods, heuristics, and metaheuristics, the book presents the architecture and modeling and search components of constraint-based local search and describes how constraint-based local search is supported in COMET. The book describes a variety of applications, arranged by meta-heuristics. It presents scheduling applications, along with the background necessary to understand these challenging problems. The book also includes a number of satisfiability problems, illustrating the ability of constraint-based local search approaches to cope with both satisfiability and optimization problems in a uniform fashion. |
| ramanujan magic square: The Man Who Loved Only Numbers Paul Hoffman, 2024-05-07 A funny, marvelously readable portrait of one of the most brilliant and eccentric men in history. --The Seattle Times Paul Erdos was an amazing and prolific mathematician whose life as a world-wandering numerical nomad was legendary. He published almost 1500 scholarly papers before his death in 1996, and he probably thought more about math problems than anyone in history. Like a traveling salesman offering his thoughts as wares, Erdos would show up on the doorstep of one mathematician or another and announce, My brain is open. After working through a problem, he'd move on to the next place, the next solution. Hoffman's book, like Sylvia Nasar's biography of John Nash, A Beautiful Mind, reveals a genius's life that transcended the merely quirky. But Erdos's brand of madness was joyful, unlike Nash's despairing schizophrenia. Erdos never tried to dilute his obsessive passion for numbers with ordinary emotional interactions, thus avoiding hurting the people around him, as Nash did. Oliver Sacks writes of Erdos: A mathematical genius of the first order, Paul Erdos was totally obsessed with his subject--he thought and wrote mathematics for nineteen hours a day until the day he died. He traveled constantly, living out of a plastic bag, and had no interest in food, sex, companionship, art--all that is usually indispensable to a human life. The Man Who Loved Only Numbers is easy to love, despite his strangeness. It's hard not to have affection for someone who referred to children as epsilons, from the Greek letter used to represent small quantities in mathematics; a man whose epitaph for himself read, Finally I am becoming stupider no more; and whose only really necessary tool to do his work was a quiet and open mind. Hoffman, who followed and spoke with Erdos over the last 10 years of his life, introduces us to an undeniably odd, yet pure and joyful, man who loved numbers more than he loved God--whom he referred to as SF, for Supreme Fascist. He was often misunderstood, and he certainly annoyed people sometimes, but Paul Erdos is no doubt missed. --Therese Littleton |
| ramanujan magic square: Ramanujan Arundhati Venkatesh, 2022-10-24 With direct access to the top Maoist leadership, Rahul Pandita provides an authoritative account of how a handful of men and women, who believed in the idea of revolution, entered Bastar in Central India in 1980 and created a powerful movement that New Delhi now terms as India's biggest internal security threat. It traces the circumstances due to which the Maoist movement entrenched itself in about 10 states of India, carrying out deadly attacks against the Indian establishment in the name of the poor and the marginalised. It offers rare insight into the lives of Maoist guerillas and also of the Adivasi tribals living in the Red zone. Based on extensive on-ground reportage and exhaustive interviews with Maoist leaders including their supreme commander Ganapathi, Kobad Ghandy and others who are jailed or have been killed in police encounters, this book is a combination of firsthand storytelling and intrepid analysis. |
| ramanujan magic square: Let's Play Math Denise Gaskins, 2012-09-04 |
| ramanujan magic square: The World of Mathematics James Roy Newman, 2000-01-01 Presents 33 essays on such topics as statistics and the design of experiments, group theory, the mathematics of infinity, the mathematical way of thinking, the unreasonableness of mathematics, and mathematics as an art. A reprint of volume 3 of the four-volume edition originally published by Simon and Schuster in 1956. Annotation c. Book News, Inc., Portland, OR (booknews.com). |
| ramanujan magic square: Wonders of Numbers Clifford A. Pickover, 2003-01-16 Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Jam-packed with thought-provoking mathematical mysteries, puzzles, and games, Wonders of Numbers will enchant even the most left-brained of readers. Hosted by the quirky Dr. Googol--who resides on a remote island and occasionally collaborates with Clifford Pickover--Wonders of Numbers focuses on creativity and the delight of discovery. Here is a potpourri of common and unusual number theory problems of varying difficulty--each presented in brief chapters that convey to readers the essence of the problem rather than its extraneous history. Peppered throughout with illustrations that clarify the problems, Wonders of Numbers also includes fascinating math gossip. How would we use numbers to communicate with aliens? Check out Chapter 30. Did you know that there is a Numerical Obsessive-Compulsive Disorder? You'll find it in Chapter 45. From the beautiful formula of India's most famous mathematician to the Leviathan number so big it makes a trillion look small, Dr. Googol's witty and straightforward approach to numbers will entice students, educators, and scientists alike to pick up a pencil and work a problem. |
| ramanujan magic square: THE UNKNOWN AND THE UNKNOWABLE RAMAN SIVASHANKAR, 2023-05-19 The Unknown And The Unknowable is the sequel to my debut book Our Universe An Unending Mystery published by Create Space, an Amazon Company in 2017. In the earlier book, knowledge frontier areas in the physical, spiritual, and occult worlds were identified and their interdependence was highlighted. The present book extends the thought process further into exciting arcane domains like time travel and wormholes in the physical world, religion-the eternal dilemma and the interpretation of dreams in the spiritual and occult worlds respectively. Aside from this, two new areas; The human life form and math conundrums have been added to make the review more comprehensive and interesting. The unique panorama of the human life form from womb to tomb is sketched with notes on the mysterious workings of major organs and glands. Unique human capabilities like the third eye, the use of languages for communication, proprioception, the reality or otherwise of free will and other abstract topics have been evaluated. The math conundrums have been cherry-picked: e.g. the zero discovery and the Ramanujan Magic Square make interesting reading. The book would be a useful addition to libraries wishing to highlight abstract topics. |
| ramanujan magic square: Geometric Magic Squares Lee C.F. Sallows, 2013-10-03 This innovative work replaces magic square numbers with two-dimensional forms. The result is a revelation that traditional magic squares are now better seen as the one-dimensional instance of this self-same geometrical activity. |
| ramanujan magic square: A Mathematical Genius: SRINIVASA RAMANUJAN Swayambhu Dr. K. Srinivasa Rao, 2025-05-12 This book is intended for students interested in the life and work of Srinivasa Ramanujan, who during a short life-span of 32 years, 4 months and 4 days, left behind an incredibly vast and formidable amount of original mathematical discoveries which have been path-breaking in the areas of Number theory, such as Partitions and ‘mock’ theta functions. The Notebooks of Srinivas Ramanujan and his ‘Lost’ Notebook, containing about 4000 Entries / theorems, will continue to be eternal sources of inspiration to the mathematicians of the world, as the self-taught Ramanujan did not provide proofs for them and it is incredible that there are no errors in them. It is the fond hope of the author that the mathematics students will be inspired by the life of Ramanujan to take to a study of the Notebooks of Ramanujan and the Collected papers of Srinivasa Ramanujan. |
The unproved formulas of Ramanujan - MathOverflow
Nov 21, 2020 · So Berndt doesn't consider the Brocard-Ramanujan problem to be a "remaining conjecture" of Ramanujan, I guess? Or maybe he was considering only "formulas" because …
What did Ramanujan get wrong? - MathOverflow
Dec 13, 2017 · Here is a mistake which was even featured in the Ramanujan movie: in his letters to Hardy, Ramanujan claimed to have found an exact formula for the prime counting function …
The Extended Riemann Hypothesis and Ramanujan's Sum
Apr 4, 2022 · Riemann Hypothesis and Ramanujan’s Sum Explanation RH: All non-trivial zeros of the Riemannian zeta-function lie on the critical line. ERH: All zeros of L-functions to complex …
ho.history overview - What were Ramanujan's standard …
Jun 20, 2020 · Ramanujan had a great skill in algebraic manipulation (much better than current symbolic software). Almost all his independent (of Hardy) work is based on algebraic …
nt.number theory - Ramanujan's tau function - MathOverflow
Mar 23, 2014 · Why was Ramanujan interested in the his tau function before the advent of modular forms? The machinery of modular forms used by Mordel to solve the multiplicative …
co.combinatorics - What is a "Ramanujan Graph"? - MathOverflow
Dec 26, 2014 · I noticed an apparent conflict in the definition in literature about what is a "Ramanujan graph, which I was wondering if someone could kindly clarify. (1) The Hoory-Linial …
Ramanujan's eccentric Integral formula - MathOverflow
Regarding your three questions: I have no idea what the intuition is behind Ramanujan's formula, but I hope someone else does, since I'd certainly like to know. Expressing the same number …
Explicit constructions of Ramanujan graphs - MathOverflow
Jan 10, 2023 · Minor comment: Ramanujan graphs, which you describe in the first paragraph, are much easier to construct than expanders, which are the sequence of Ramanujan graphs with …
nt.number theory - The Ramanujan Problems - MathOverflow
In the Wikipedia page on Ramanujan (current revision), there is a link to a collection of problems posed by him. The page has a collection of about sixty problems which have appeared in the …
Statement of classical Ramanujan-Petersson conjecture
Feb 25, 2021 · 8 I'm preparing for an expository talk on some topics in the representation theory of reductive p-adic groups, including tempered representations and Whittaker models, and as …
The unproved formulas of Ramanujan - MathOverflow
Nov 21, 2020 · So Berndt doesn't consider the Brocard-Ramanujan problem to be a "remaining conjecture" of Ramanujan, I guess? Or maybe he was considering only "formulas" because …
What did Ramanujan get wrong? - MathOverflow
Dec 13, 2017 · Here is a mistake which was even featured in the Ramanujan movie: in his letters to Hardy, Ramanujan claimed to have found an exact formula for the prime counting function …
The Extended Riemann Hypothesis and Ramanujan's Sum
Apr 4, 2022 · Riemann Hypothesis and Ramanujan’s Sum Explanation RH: All non-trivial zeros of the Riemannian zeta-function lie on the critical line. ERH: All zeros of L-functions to complex …
ho.history overview - What were Ramanujan's standard …
Jun 20, 2020 · Ramanujan had a great skill in algebraic manipulation (much better than current symbolic software). Almost all his independent (of Hardy) work is based on algebraic …
nt.number theory - Ramanujan's tau function - MathOverflow
Mar 23, 2014 · Why was Ramanujan interested in the his tau function before the advent of modular forms? The machinery of modular forms used by Mordel to solve the multiplicative …
co.combinatorics - What is a "Ramanujan Graph"? - MathOverflow
Dec 26, 2014 · I noticed an apparent conflict in the definition in literature about what is a "Ramanujan graph, which I was wondering if someone could kindly clarify. (1) The Hoory …
Ramanujan's eccentric Integral formula - MathOverflow
Regarding your three questions: I have no idea what the intuition is behind Ramanujan's formula, but I hope someone else does, since I'd certainly like to know. Expressing the same number …
Explicit constructions of Ramanujan graphs - MathOverflow
Jan 10, 2023 · Minor comment: Ramanujan graphs, which you describe in the first paragraph, are much easier to construct than expanders, which are the sequence of Ramanujan graphs with …
nt.number theory - The Ramanujan Problems - MathOverflow
In the Wikipedia page on Ramanujan (current revision), there is a link to a collection of problems posed by him. The page has a collection of about sixty problems which have appeared in the …
Statement of classical Ramanujan-Petersson conjecture
Feb 25, 2021 · 8 I'm preparing for an expository talk on some topics in the representation theory of reductive p-adic groups, including tempered representations and Whittaker models, and as …
