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Problems in the Theory of Modular Forms

Problems in the Theory of Modular Forms by M. Ram Murty
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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. 


Springer Singapore; November 2016
293 pages; ISBN 9789811026515
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Title: Problems in the Theory of Modular Forms
Author: M. Ram Murty; Michael Dewar; Hester Graves
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