Book contents
- Frontmatter
- Contents
- Introduction
- Preface to the Exercises
- 1 Adeles over ℚ
- 2 Automorphic representations and L-functions for GL(1, Aℚ)
- 3 The classical theory of automorphic forms for GL(2)
- 4 Automorphic forms for GL(2, Aℚ)
- 5 Automorphic representations for GL(2, Aℚ)
- 6 Theory of admissible representations of GL(2, ℚp)
- 7 Theory of admissible (g, K∞) modules for GL(2, ℝ)
- 8 The contragredient representation for GL(2)
- 9 Unitary representations of GL(2)
- 10 Tensor products of local representations
- 11 The Godement-Jacquet L-function for GL(2, Aℚ)
- Solutions to Selected Exercises
- References
- Symbols Index
- Index
Preface to the Exercises
Published online by Cambridge University Press: 16 May 2011
- Frontmatter
- Contents
- Introduction
- Preface to the Exercises
- 1 Adeles over ℚ
- 2 Automorphic representations and L-functions for GL(1, Aℚ)
- 3 The classical theory of automorphic forms for GL(2)
- 4 Automorphic forms for GL(2, Aℚ)
- 5 Automorphic representations for GL(2, Aℚ)
- 6 Theory of admissible representations of GL(2, ℚp)
- 7 Theory of admissible (g, K∞) modules for GL(2, ℝ)
- 8 The contragredient representation for GL(2)
- 9 Unitary representations of GL(2)
- 10 Tensor products of local representations
- 11 The Godement-Jacquet L-function for GL(2, Aℚ)
- Solutions to Selected Exercises
- References
- Symbols Index
- Index
Summary
My goal for this project was to remedy some of my ignorance of the theory of automorphic forms. I hope these exercises will aid the reader in doing the same. If an exercise requires some sort of inspiration that isn't immediately obvious from the text, then I have tried to give at least a hint. I have attempted to write a detailed sketch or a full solution whenever an exercise was particularly difficult (for me). But it will be evident that I have violated both of these guiding principles at times with little rhyme or reason. An exercise marked with a* is particularly tricky (again, for me).
My thanks go to Dorian for the opportunity to be a part of this project, and to Joe for patiently answering loads of my questions. It's been a pleasure working with both of you. A National Science Foundation Postdoctoral Research Fellowship provided my funding during the completion of this project. Finally, I would like to thank my wife, Alana, for her unwavering support of my endeavors, especially those that detract from our time together.
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- Publisher: Cambridge University PressPrint publication year: 2011