Introduction to applications of modular forms : computational aspects / Zafer Selcuk Aygin.

"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 as...

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Bibliographic Details
Main Author: Aygin, Zafer Selcuk (Author)
Format: Ebook
Language:English
Published: Cham : Springer, 2023.
Series:Synthesis lectures on mathematics & statistics (Springer (Firm))
Subjects:
Online Access:Springer Nature Synthesis Collection of Technology (R0) eBook Collection 2023
Description
Summary:"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.  "--Publisher's website.
Physical Description:1 online resource.
Bibliography:Includes bibliographical references and indexes.
ISBN:3031326296
9783031326295
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