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OverviewThis 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. Full Product DetailsAuthor: Zafer Selcuk AyginPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 2023 ed. Weight: 0.489kg ISBN: 9783031326288ISBN 10: 3031326288 Pages: 169 Publication Date: 14 July 2023 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Table of ContentsDirichlet Characters.- Modular Forms: Definition and Some Properties.- Application: Quadratic Forms.- Application: Eta Quotients.- Various Applications.ReviewsAuthor InformationZafer 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. Tab Content 6Author Website:Countries AvailableAll regions |