Synthesis Lectures on Mathematics & Statistics- Introduction to Applications of Modular Forms Computational Aspects
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Auteur:
Zafer Selcuk Aygin
- Engels
- Hardcover
- 9783031326288
- 14 juli 2023
- 169 pagina's
Samenvatting
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.
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.
In addition, this book:
- Describes the theory of modular forms and its applications in number theoretic problems
- Provides a resource for people who study or work on the computational aspects of classical modular forms
- Includes computer algorithms to help readers conjecture new results and prove them using the presented theory
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- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 14 juli 2023
- Aantal pagina's
- 169
Betrokkenen
- Hoofdauteur
- Zafer Selcuk Aygin
- Hoofduitgeverij
- Springer International Publishing Ag
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- Editie
- 23001
- Product breedte
- 168 mm
- Product lengte
- 240 mm
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- 168 mm
- Verpakking hoogte
- 16 mm
- Verpakking lengte
- 240 mm
- Verpakkingsgewicht
- 489 g
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- 9783031326288
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