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...
Cote: | Libro Electrónico |
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Auteurs principaux: | , , |
Collectivité auteur: | |
Format: | Électronique eBook |
Langue: | Inglés |
Publié: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2016.
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Édition: | 1st ed. 2016. |
Collection: | IMSc Lecture Notes in Mathematics,
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Sujets: | |
Accès en ligne: | Texto Completo |
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. . |
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Description matérielle: | XVII, 291 p. 8 illus. online resource. |
ISBN: | 9789811026515 |
ISSN: | 2509-8098 |