Problems in the Theory of Modular Forms

• Main Authors: Murty, M. Ram (Author), Dewar, Michael (Author), Graves, Hester (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: HBA Lecture Notes in Mathematics,
• Subjects: Mathematics.; Operator theory.; Sequences (Mathematics).; Special functions.; Number theory.; Number Theory.; Operator Theory.; Special Functions.; Sequences, Series, Summability.
• Physical Description: XVII, 291 p. 8 illus. online resource.
• ISBN: 9789811026515
• ISSN: 2509-8063

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. .