000			02380cam a22003015i 4500
001			TB12448
003			IN-BhIIT
005			20250731144055.0
008			161125s2016 si |||| o |||| 0|eng
020			_a9789380250724 (PBK)
040			_aIN-BhIIT
041			_aeng
082	0	4	_a512.7 _bMUR/P
100	1		_aMurty, M. Ram. _eAuthor _926071
245	1	0	_aProblems in the theory of modular forms / _cby M. Ram Murty, Michael Dewar, Hester Graves.
260			_aNew Delhi : _bHindustan Book Agency, _c2015.
300			_axv, 291 p. : _bill. ; _c24 cm.
490	1		_aIMSc Lecture Notes in Mathematics; 1
505	0		_aPart 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.
520			_aThis 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.
650		0	_aNumber theory.
650		0	_aOperator theory. _926072
650		0	_aSequences (Mathematics). _926073
650		0	_aSpecial functions. _926074
700	1		_aDewar, Michael. _eJoint author. _926075
700	1		_aGraves, Hester. _eJoint author. _926076
942			_cTB _01
999			_c14968 _d14968