Description

Book Synopsis
Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research.

Table of Contents
Introduction Congruences for $p(n)$ and $\tau(n)$ Sums of squares and sums of triangular numbers Eisenstein series The connection between hypergeometric functions and theta functions Applications of the primary theorem of Chapter 5 The Rogers-Ramanujan continued fraction Bibliography Index.

Number Theory in the Spirit of Ramanujan

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    A Paperback by Bruce C. Berndt

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      Publisher: MP-AMM American Mathematical
      Publication Date: 8/30/2006 12:00:00 AM
      ISBN13: 9780821841785, 978-0821841785
      ISBN10: 0821841785

      Description

      Book Synopsis
      Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research.

      Table of Contents
      Introduction Congruences for $p(n)$ and $\tau(n)$ Sums of squares and sums of triangular numbers Eisenstein series The connection between hypergeometric functions and theta functions Applications of the primary theorem of Chapter 5 The Rogers-Ramanujan continued fraction Bibliography Index.

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