Download Elliptic and Modular Functions from Gauss to Dedekind to by Ranjan Roy PDF

By Ranjan Roy

This thorough paintings provides the basic result of modular functionality thought as built through the 19th and early-twentieth centuries. It good points attractive formulation and derives them utilizing skillful and creative manipulations, particularly classical equipment usually missed this present day. beginning with the paintings of Gauss, Abel, and Jacobi, the booklet then discusses the test through Dedekind to build a conception of modular capabilities autonomous of elliptic services. The latter a part of the booklet explains how Hurwitz accomplished this job and contains one among Hurwitz's landmark papers, translated by means of the writer, and delves into the paintings of Ramanujan, Mordell, and Hecke. For graduate scholars and specialists in modular varieties, this publication demonstrates the relevance of those unique assets and thereby offers the reader with new insights into modern paintings during this area.

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