Elliptic and Modular Functions from Gauss to Dedekind to Hecke

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Highlights

ISBN13:9781107159389
ISBN10:1107159385
Publisher:Cambridge University Press
Language:English
Author:Ranjan Roy
Binding:Hardback
SUPC: SDL636199825

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Country of Origin or Manufacture or Assembly	India
Common or Generic Name of the commodity	Literature & Fiction
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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 Hurwitzs 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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Language: English

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