This volume is the first of three in a series surveying the theory of theta functions. Based on lectures given by the author at the Tata Institute of Fundamental Research in Bombay, these volumes constitute a systematic exposition of theta functions, beginning with their historical roots as analytic functions in one variable (Volume I), touching on some of the beautiful ways they can be used to describe moduli spaces (Volume II), and culminating in a methodical comparison of theta functions in analysis, algebraic geometry, and representation theory (Volume III).
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The first of a series of three volumes surveying the theory of theta functions and its significance in the fields of representation theory and algebraic geometry, this volume deals with the basic theory of theta functions in one and several variables, and some of its number theoretic applications. Requiring no background in advanced algebraic geometry, the text serves as a modern introduction to the subject.
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exp tri, theta functions, complex tori, theta series, modular forms, analytic subset, holomorphic map, complex torus, period matrix, functional equation, meromorphic functions, coset representatives New!
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exp tri, theta functions, complex tori, theta series, modular forms, analytic subset, holomorphic map, complex torus, period matrix, functional equation, meromorphic functions, coset representatives New!
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Front Cover | Table of Contents | First Pages | Surprise Me!
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