Introduction to Applications of Modular Forms : Computational Aspects

Zafer Selcuk Aygin

ISBN 10: 3031326288 / ISBN 13: 9783031326288

Editore: Springer International Publishing, Springer International Publishing, 2023

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783031326288

Dati bibliografici

• Titolo: Introduction to Applications of Modular Forms : Computational Aspects
• Editore: Springer International Publishing, Springer International Publishing
• Data di pubblicazione: 2023
• Lingua: Inglese
• ISBN 10: 3031326288
• ISBN 13: 9783031326288
• Rilegatura: Buch
• Condizione: Neu
• Dimensioni: 246 L x 173 A x 16 P (millimetri) 246 millimetri di larghezza per 173 millimetri di altezza per 16 millimetri di profondità
• Peso: 489 grammi

Descrizione articolo

Riassunto

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.  

Informazioni sull?autore

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.