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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Murty, M. Ram (Συγγραφέας), Dewar, Michael (Συγγραφέας), Graves, Hester (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2016.
Σειρά:HBA Lecture Notes in Mathematics,
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.