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Part of a series surveying the theory of theta functions which play a central role in the fields of complex analysis, algebraic geometry, number theory and most recently particle physics. This volume constitutes an exposition of theta functions, beginning with their historical roots as analytic functions in one variable.
Functions, Theta. --- Mathematics. --- Theta.
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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.
Functions, Theta. --- Series, Theta. --- Theta series --- Functions, Theta --- Theta functions
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