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The basis problem for modular forms on $Γ_{0}(N)$
About this Title
Hiroaki Hijikata, Arnold K. Pizer and Thomas R. Shemanske
Publication: Memoirs of the American Mathematical Society
Publication Year:
1989; Volume 82, Number 418
ISBNs: 978-0-8218-2481-8 (print); 978-1-4704-0841-1 (online)
DOI: https://doi.org/10.1090/memo/0418
MathSciNet review: 960090
MSC: Primary 11F11
Table of Contents
Chapters
- Introduction
- 1. Preliminaries
- 2. The trace formula for Hecke operators
- 3. Twisting newforms
- 4. Theta series
- 5. A representation-theoretic definition of Brandt matrices
- 6. Trace identities
- 7. Cuspidal theta series and newforms
- 8. The basis problem
- 9. Connections with representation theory
- 10. Examples