Introduction to Applications of Modular Forms : Computational Aspects
2023 ed.
Book Details
Format
Paperback / Softback
Book Series
Synthesis Lectures on Mathematics & Statistics
ISBN-10
3031326318
ISBN-13
9783031326318
Edition
2023 ed.
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jul 15th, 2024
Print length
169 Pages
Product Classification:
MathematicsNumber theoryNumerical analysis
Ksh 9,900.00
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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.
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.
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