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Field name	Details
Dewey Class	512.7
Title	Problems in the Theory of Modular Forms ([EBook]) / by M. Ram Murty, Michael Dewar, Hester Graves.
Author	Murty, Maruti Ram
Added Personal Name	Dewar, Michael
Added Personal Name	Graves, Hester
Other name(s)	SpringerLink (Online service)
Publication	Singapore : Springer Singapore , 2016.
Physical Details	XVII, 291 pages : 8 illus. : online resource.
Series	HBA Lecture Notes in Mathematics 2509-8063
ISBN	9789811026515
Summary Note	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. .:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-981-10-2651-5
Links to Related Works	Subject References: Mathematics . Number Theory . Operator Theory . Sequences (Mathematics) . Sequences, Series, Summability . Special Functions . Authors: author . Dewar, Michael . Graves, Hester . Murty, Maruti Ram . Corporate Authors: SpringerLink (Online service) . Series: HBA Lecture Notes in Mathematics . Classification: 512.7 .

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Problems in the Theory of Modular Forms

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