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Problems in the Theory of Modular Forms
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-pla...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | IMSc Lecture Notes in Mathematics,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-981-10-2651-5 | ||
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| 005 | 20221220065109.0 | ||
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| 008 | 161125s2016 si | s |||| 0|eng d | ||
| 020 | |a 9789811026515 |9 978-981-10-2651-5 | ||
| 024 | 7 | |a 10.1007/978-981-10-2651-5 |2 doi | |
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| 100 | 1 | |a Murty, M. Ram. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Problems in the Theory of Modular Forms |h [electronic resource] / |c by M. Ram Murty, Michael Dewar, Hester Graves. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Singapore : |b Springer Nature Singapore : |b Imprint: Springer, |c 2016. | |
| 300 | |a XVII, 291 p. 8 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a IMSc Lecture Notes in Mathematics, |x 2509-8098 | |
| 505 | 0 | |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. | |
| 520 | |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. . | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Operator theory. | |
| 650 | 0 | |a Special functions. | |
| 650 | 0 | |a Sequences (Mathematics). | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Operator Theory. |
| 650 | 2 | 4 | |a Special Functions. |
| 650 | 2 | 4 | |a Sequences, Series, Summability. |
| 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 | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9789811026508 |
| 776 | 0 | 8 | |i Printed edition: |z 9789811026522 |
| 830 | 0 | |a IMSc Lecture Notes in Mathematics, |x 2509-8098 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-981-10-2651-5 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||