Problems in the Theory of Modular Forms / / by M. Ram Murty, Michael Dewar, Hester Graves
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| Autore: |
Murty M. Ram
|
| Titolo: |
Problems in the Theory of Modular Forms / / by M. Ram Murty, Michael Dewar, Hester Graves
|
| Pubblicazione: | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016 |
| Edizione: | 1st ed. 2016. |
| Descrizione fisica: | 1 online resource (XVII, 291 p. 8 illus.) |
| Disciplina: | 512.74 |
| Soggetto topico: | Number theory |
| Operator theory | |
| Functions, Special | |
| Sequences (Mathematics) | |
| Number Theory | |
| Operator Theory | |
| Special Functions | |
| Sequences, Series, Summability | |
| Persona (resp. second.): | DewarMichael |
| GravesHester | |
| Nota di bibliografia: | Includes bibliographical references at the end of each chapters and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. . |
| Titolo autorizzato: | Problems in the Theory of Modular Forms |
| ISBN: | 981-10-2651-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910155526903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
IMSc Lecture Notes in Mathematics, . 2509-808X