Introduction to Applications of Modular Forms

Zafer Selcuk Aygin

ISBN 10: 3031326288 / ISBN 13: 9783031326288

Published by Springer International Publishing AG, CH, 2023

About this Item

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.

Seller Inventory # LU-9783031326288

Bibliographic Details

• Title: Introduction to Applications of Modular Forms
• Publisher: Springer International Publishing AG, CH
• Publication Date: 2023
• Language: English
• ISBN 10: 3031326288
• ISBN 13: 9783031326288
• Binding: Hardback
• Edition: 2023 ed.
• Condition: New

About this title

Synopsis

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.  

About the Author

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.