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Elliptic and Modular Functions from Gauss to Dedekind to Hecke

Elliptic and Modular Functions from Gauss to Dedekind to Hecke

Ranjan Roy

Cambridge University Press
Publication date : 2017-04-18

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This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.

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About the book

Author

Ranjan Roy

Imprint

Cambridge University Press

Collection

n.c

Publication date

2017-04-18

Pages

n.c

Print ISBN

9781107159389

Language

English

Ebook informations

EAN PDF

9781108133784

Price

£80.18

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Print count 0

File size 4135014 Ko

Informations accessibility

EAN EPUB

9781108132107

Price

£80.18

Copy count 0

Print count 0

File size 101816 Ko

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About author(s)

Ranjan Roy

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