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...
Κύριοι συγγραφείς: | , , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Singapore :
Springer Singapore : Imprint: Springer,
2016.
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Σειρά: | HBA Lecture Notes in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.