02380cam a22003015i 4500 TB12448 IN-BhIIT 20250731144055.0 161125s2016 si |||| o |||| 0|eng 9789380250724 (PBK) IN-BhIIT eng 512.7 MUR/P Murty, M. Ram. Author 26071 Problems in the theory of modular forms / by M. Ram Murty, Michael Dewar, Hester Graves. New Delhi : Hindustan Book Agency, 2015. xv, 291 p. : ill. ; 24 cm. IMSc Lecture Notes in Mathematics; 1 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 tau-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. Number theory. Operator theory. 26072 Sequences (Mathematics). 26073 Special functions. 26074 Dewar, Michael. Joint author. 26075 Graves, Hester. Joint author. 26076 TB 1 14968 14968 0 0 ddc 0 0 SBS CLIITBBS CLIITBBS 2025-03-06 31 525.00 0 512.7 MUR/P TB12449 2025-03-06 00:00:00 700.00 2025-03-06 TB 0 0 ddc 0 0 SBS CLIITBBS CLIITBBS 2025-03-06 31 525.00 1 2 512.7 MUR/P TB12448 2026-02-04 14:58:18 2025-07-31 700.00 2025-03-06 TB