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＜E-Book＞
Problems in the Theory of Modular Forms / by M. Ram Murty, Michael Dewar, Hester Graves
(IMSc Lecture Notes in Mathematics. ISSN:25098098)

Edition	1st ed. 2016.
Publisher	(Singapore : Springer Nature Singapore : Imprint: Springer)
Year	2016
Size	XVII, 291 p. 8 illus : online resource
Authors	*Murty, M. Ram author Dewar, Michael author Graves, Hester author SpringerLink (Online service)
Subjects	LCSH:Number theory LCSH:Operator theory LCSH:Special functions LCSH:Sequences (Mathematics) FREE:Number Theory FREE:Operator Theory FREE:Special Functions FREE:Sequences, Series, Summability
Notes	Part I Problems -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics -- Part II Solutions -- Chapter 1. Jacobi’s q-series -- Chapter 2. The Modular Group -- Chapter 3. The Upper Half-Plane -- Chapter 4. Modular Forms of Level One -- Chapter 5. The Ramanujan _ T-function -- Chapter 6. Modular Forms of Higher Level -- Chapter 7. The Petersson Inner Product -- Chapter 8. Hecke Operators of Higher Level -- Chapter 9. Dirichlet Series and Modular Forms -- Chapter 10. Special Topics 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. HTTP:URL=https://doi.org/10.1007/978-981-10-2651-5

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