Introduction to Applications of Modular Forms : Computational Aspects

Introduction to Applications of Modular Forms : Computational Aspects

Author
Zafer Selcuk Aygin
Publisher
Springer International Publishing
Language
English
ISBN
9783031326295,9783031326288
File Type
epub
File Size
16.5 MiB

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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