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Number theory in the spirit of Ramanujan

Author: Bruce C Berndt
Publisher: Providence, R.I. : American Mathematical Society, ©2006.
Series: Student mathematical library, v. 34.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"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, Bruce 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  Read more...
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Named Person: Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan Aiyangar; Srinivasa Ramanujan; Srinivasa Ramanujan Aiyangar; Ramanujan Aiyangar, Srinivasa <1887-1920>
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Bruce C Berndt
ISBN: 0821841785 9780821841785
OCLC Number: 67346405
Description: xix, 187 p. ; 22 cm.
Contents: Introduction --
Congruences for p(n) and r(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.
Series Title: Student mathematical library, v. 34.
Responsibility: Bruce C. Berndt.

Abstract:

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  Read more...

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schema:reviewBody""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, Bruce 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."--Jacket."
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