Introduction to applications of modular forms : computational aspects
Author(s)
Bibliographic Information
Introduction to applications of modular forms : computational aspects
（Synthesis lectures on mathematics and statistics）（Synthesis collection of technology）
Springer, c2023
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Note
Includes bibliographical references and indexes
Description and Table of Contents
Description
This book is a self-contained treatment for those who study or work on the computational aspects of classical modular forms. The author describes the theory of modular forms and its applications in number theoretic problems such as representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of different types of special functions. A detailed account of recent applications of modular forms in number theory with a focus on using computer algorithms is provided. Computer algorithms are included for each presented application to help readers put the theory in context and make new conjectures.
Table of Contents
Dirichlet Characters.- Modular Forms: Definition and Some Properties.- Application: Quadratic Forms.- Application: Eta Quotients.- Various Applications.
by "Nielsen BookData"
