Introduction to applications of modular forms : computational aspects
著者
書誌事項
Introduction to applications of modular forms : computational aspects
（Synthesis lectures on mathematics and statistics）（Synthesis collection of technology）
Springer, c2023
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注記
Includes bibliographical references and indexes
内容説明・目次
内容説明
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.
目次
Dirichlet Characters.- Modular Forms: Definition and Some Properties.- Application: Quadratic Forms.- Application: Eta Quotients.- Various Applications.
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