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Modular Forms and Hecke Operators - Mathematical Monographs

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Description

This comprehensive monograph explores the theory of Hecke operators applied to modular forms, building on Hecke's foundational work to develop a systematic framework for understanding modular forms in several variables. The text traces how Hecke operators on spaces of modular forms were discovered to possess arithmetic significance, particularly in revealing multiplicative properties governing the number of integer representations of quadratic forms. Published by the American Mathematical Society as part of the Translations of Mathematical Monographs series, this detailed exposition presents the mature theory with rigorous mathematical exposition. Essential reading for graduate students and researchers in number theory, this monograph provides the theoretical underpinnings necessary for advanced study of modular forms and their connections to arithmetic.

Key Features

Hecke operators theory systematically applied to modular forms in multiple variables with arithmetic interpretations.

Covers multiplicative properties of integer representations of quadratic forms through the Hecke operator framework.

Published by American Mathematical Society in the Translations of Mathematical Monographs series for academic rigour.

Comprehensive exposition suitable for graduate-level mathematics study and research in number theory.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
07 December 1995
Listed Since
17 October 2006

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