This modern approach to the theory of automorphic representations keeps definitions to a minimum, focusing instead on providing concrete examples and detailed proofs of the key theorems. This book is the perfect introduction for students at the advanced undergraduate level and beyond, and for researchers new to the field.
This modern approach to the theory of automorphic representations keeps definitions to a minimum, focusing instead on providing concrete examples and detailed proofs of the key theorems. This book is the perfect introduction for students at the advanced undergraduate level and beyond, and for researchers new to the field.
Dorian Goldfeld is a Professor in the Department of Mathematics at Columbia University, New York.
Inhaltsangabe
Preface 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 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.
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