Number Theory in the Spirit of Ramanujan

Released on by Bruce C. Berndt
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  • Number Theory in the Spirit of Ramanujan Book Detail

  • Author : Bruce C. Berndt
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 210
  • ISBN 13 : 0821841785
  • File Size : 93,93 MB
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Number Theory in the Spirit of Ramanujan by Bruce C. Berndt PDF Summary

Book Description: Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.

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Number Theory in the Spirit of Ramanujan

Number Theory in the Spirit of Ramanujan

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Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in numb

Ramanujan

Ramanujan

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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

Ramanujan's Lost Notebook

Ramanujan's Lost Notebook

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In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivas

Ramanujan: Essays and Surveys

Ramanujan: Essays and Surveys

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This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced