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Problems in the Theory of Modular Forms / by M. Ram Murty, Michael Dewar, Hester Graves
(IMSc Lecture Notes in Mathematics. ISSN:25098098)
版 | 1st ed. 2016. |
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出版者 | Singapore : Springer Nature Singapore : Imprint: Springer |
出版年 | 2016 |
大きさ | XVII, 291 p. 8 illus : online resource |
著者標目 | *Murty, M. Ram author Dewar, Michael author Graves, Hester author SpringerLink (Online service) |
件 名 | LCSH:Number theory LCSH:Operator theory LCSH:Special functions LCSH:Sequences (Mathematics) FREE:Number Theory FREE:Operator Theory FREE:Special Functions FREE:Sequences, Series, Summability |
一般注記 | 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 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. HTTP:URL=https://doi.org/10.1007/978-981-10-2651-5 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789811026515 |
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EB00222879 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000112644 |
ISBN | 9789811026515 |
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