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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Murty, M. Ram (Autor), Dewar, Michael (Autor), Graves, Hester (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : Springer Nature Singapore : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:IMSc Lecture Notes in Mathematics,
Temas:
Number theory.
Operator theory.
Special functions.
Sequences (Mathematics).
Number Theory.
Operator Theory.
Special Functions.
Sequences, Series, Summability.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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