Introduction to Applications of Modular Forms: Computational Aspects (Synthesis Lectures on Mathematics & Statistics) - Tapa dura

Libro 56 de 72: Synthesis Lectures on Mathematics & Statistics

Aygin, Zafer Selcuk

 
9783031326288: Introduction to Applications of Modular Forms: Computational Aspects (Synthesis Lectures on Mathematics & Statistics)
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ISBN 10: 3031326288 ISBN 13: 9783031326288
Editorial: Springer-Verlag GmbH, 2023

Sinopsis

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.

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Acerca del autor

Zafer Selcuk Aygin obtained his PhD from Carleton University in 2016. Since then, he has held two prestigious postdoctoral fellowships, one at Nanyang Technological University in Singapore and the other at the University of Calgary (supported by Pacific Institute for the Mathematical Sciences). He is currently an Instructor at Northwestern Polytechnic and an Adjunct Professor at Carleton University. His main research interest is arithmetic aspects of modular forms.

De la contraportada

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

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer-Verlag GmbH
Año de publicación
2023
Idioma
Inglés
ISBN 10 
3031326288
ISBN 13 
9783031326288
Encuadernación
Tapa dura
Número de páginas
179
Contacto del fabricante
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Alemania

Otras ediciones populares con el mismo título

9783031326318: Introduction to Applications of Modular Forms: Computational Aspects (Synthesis Lectures on Mathematics & Statistics)

Edición Destacada

ISBN 10:  3031326318 ISBN 13:  9783031326318
Editorial: Springer, 2024
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