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Introduction to Applications of Modular Forms: Computational Aspects
Introduction to Applications of Modular Forms: Computational Aspects
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- More about Introduction to Applications of Modular Forms: Computational Aspects
This book provides a comprehensive treatment of modular forms, their theory, and applications in number theoretic problems, with computer algorithms to aid in understanding and conjecturing.
Format: Hardback
Length: 169 pages
Publication date: 13 July 2023
Publisher: Springer International Publishing AG
This comprehensive book serves as a self-contained resource for individuals engaged in the study or application of computational aspects related to classical modular forms. The author delves into the theory of modular forms, elucidating its principles and their widespread applications in number theoretic problems. These include representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of various special functions. Furthermore, the book offers a detailed account of recent advancements in the field, emphasizing the utilization of computer algorithms to facilitate research and exploration. Each application is accompanied by computer algorithms, empowering readers to contextualize the theory and generate fresh conjectures. This resource is invaluable for scholars and practitioners alike, providing a deep understanding of modular forms and their profound implications in mathematics.
This comprehensive book serves as a self-contained resource for individuals engaged in the study or application of computational aspects related to classical modular forms. The author delves into the theory of modular forms, elucidating its principles and their widespread applications in number theoretic problems. These include representations by quadratic forms and the determination of asymptotic formulas for Fourier coefficients of various special functions. Furthermore, the book offers a detailed account of recent advancements in the field, emphasizing the utilization of computer algorithms to facilitate research and exploration. Each application is accompanied by computer algorithms, empowering readers to contextualize the theory and generate fresh conjectures. This resource is invaluable for scholars and practitioners alike, providing a deep understanding of modular forms and their profound implications in mathematics.
Dimension: 240 x 168 (mm)
ISBN-13: 9783031326288
Edition number: 1st ed. 2023
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