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Preface vii
Irreducibility and Cuspidality Dinakar Ramakrishnan 1
Preliminaries 5
The first step in the proof 15
The second step in the proof 16
Galois representations attached to regular, selfdual cusp forms on GL(4) 18
Two useful lemmas on cusp forms on GL(4) 20
Finale 21
References 25
On Liftings of Holomorphic Modular Forms Tamotsu Ikeda 29
Basic facts 29
Fourier coefficients of the Eisenstein series 30
Kohnen plus space 32
Lifting of cusp forms 33
Outline of the proof 34
Relation to the Saito-Kurokawa lifts 35
Hermitian modular forms and hermitian Eisensetein series 37
The case m = 2n + 1 39
The case m = 2n 40
L-functions 40
The case m = 2 41
References 42
Multiplicity-free Theorems of the Restrictions of Unitary Highest Weight Modules with respect to Reductive Symmetric Pairs Toshiyuki Kobayashi 45
Introduction and statement of main results 45
Main machinery from complexgeometry 56
Proof of Theorem A 61
Proof of Theorem C 68
Uniformly bounded multiplicities - Proof of Theorems B and D 70
Counterexamples 77
Finite-dimensional cases - Proof of Theorems E and F 83
Generalization of the Hua-Kostant-Schmid formula 89
Appendix: Associated bundles on Hermitian symmetric spaces 103
References 105
The Rankin-Selberg Method for Automorphic Distributions Stephen D. Miller Wilfried Schmid 111
Introduction 111
Standard L-functions for SL(2) 115
Pairings of automorphic distributions 121
The Rankin-Selberg L-function for GL(2) 128
Exterior Square on GL(4) 137
References 149
Langlands Functoriality Conjecture and Number Theory Freydoon Shahidi 151
Introduction 151
Modular forms, Galois representations and Artin L-functions 152
Lattice point problems and the Selberg conjecture 156
Ramanujan conjecture for Maass forms 158
Sato-Tate conjecture 159
Functoriality for symmetric powers 161
Functoriality for classical groups 163
Ramanujan conjecture for classical groups 164
The method 166
References 169
Discriminant of Certain K3 Surfaces Ken-Ichi Yoshikawa 175
Introduction - Discriminant of elliptic curves 175
K3 surfaces with involution and their moduli spaces 178
Automorphic forms on the moduli space 180
Equivariant analytic torsion and 2-elementary K3 surfaces 182
The Borcherds products 184
Borcherds products for odd unimodular lattices 186
K3 surfaces of Matsumoto-Sasaki-Yoshida 188
Discriminant of quartic surfaces 200
References 209
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Add Representation Theory and Automorphic Forms, Vol. 255, This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their as, Representation Theory and Automorphic Forms, Vol. 255 to the inventory that you are selling on WonderClubX
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Add Representation Theory and Automorphic Forms, Vol. 255, This volume addresses the interplay between representation theory and automorphic forms. The invited papers, written by leading mathematicians, track recent progress in the ever expanding fields of representation theory and automorphic forms, and their as, Representation Theory and Automorphic Forms, Vol. 255 to your collection on WonderClub |