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Problems in the Theory of Modular Forms

This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-pla...

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Détails bibliographiques
Cote:Libro Electrónico
Auteurs principaux: Murty, M. Ram (Auteur), Dewar, Michael (Auteur), Graves, Hester (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Édition:1st ed. 2016.
Collection:IMSc Lecture Notes in Mathematics,
Sujets:
Accès en ligne:Texto Completo
Description
Résumé:This book introduces the reader to the fascinating world of modular forms through a problem-solving approach. As such, besides researchers, the book can be used by the undergraduate and graduate students for self-instruction. The topics covered include q-series, the modular group, the upper half-plane, modular forms of level one and higher level, the Ramanujan τ-function, the Petersson inner product, Hecke operators, Dirichlet series attached to modular forms and further special topics. It can be viewed as a gentle introduction for a deeper study of the subject. Thus, it is ideal for non-experts seeking an entry into the field. .
Description matérielle:XVII, 291 p. 8 illus. online resource.
ISBN:9789811026515
ISSN:2509-8098