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|a 10.1007/978-981-10-2651-5
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|a Murty, M. Ram.
|e author.
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|4 http://id.loc.gov/vocabulary/relators/aut
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| 245 |
1 |
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|a Problems in the Theory of Modular Forms
|h [electronic resource] /
|c by M. Ram Murty, Michael Dewar, Hester Graves.
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| 250 |
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|a 1st ed. 2016.
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| 264 |
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1 |
|a Singapore :
|b Springer Singapore :
|b Imprint: Springer,
|c 2016.
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| 300 |
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|a XVII, 291 p. 8 illus.
|b online resource.
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|a IMSc Lecture Notes in Mathematics,
|x 2509-808X
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1 |
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|a Springer eBook Collection
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| 505 |
0 |
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|a 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.
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| 520 |
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|a 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. .
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| 590 |
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|a Loaded electronically.
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| 590 |
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|a Electronic access restricted to members of the Holy Cross Community.
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| 650 |
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0 |
|a Number theory.
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| 650 |
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0 |
|a Operator theory.
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| 650 |
|
0 |
|a Special functions.
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| 650 |
|
0 |
|a Sequences (Mathematics).
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| 690 |
|
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|a Electronic resources (E-books)
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| 700 |
1 |
|
|a Dewar, Michael.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Graves, Hester.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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| 710 |
2 |
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|a SpringerLink (Online service)
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| 830 |
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|a IMSc Lecture Notes in Mathematics,
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