Download e-book for iPad: Elliptic and Modular Functions from Gauss to Dedekind to by Ranjan Roy

By Ranjan Roy

This thorough paintings provides the elemental result of modular functionality conception as constructed in the course of the 19th and early-twentieth centuries. It beneficial properties attractive formulation and derives them utilizing skillful and inventive manipulations, specially classical tools usually ignored this present day. beginning with the paintings of Gauss, Abel, and Jacobi, the booklet then discusses the test by means of Dedekind to build a conception of modular features autonomous of elliptic capabilities. The latter a part of the e-book explains how Hurwitz accomplished this activity and comprises considered one of Hurwitz's landmark papers, translated by way of the writer, and delves into the paintings of Ramanujan, Mordell, and Hecke. For graduate scholars and specialists in modular varieties, this e-book demonstrates the relevance of those unique assets and thereby presents the reader with new insights into modern paintings during this area.

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Elliptic and Modular Functions from Gauss to Dedekind to Hecke by Ranjan Roy

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