On a Cubic Shimura Integral for a Rank Two Symplectic Group |
Contents
Preliminaries | 8 |
Cubic metaplectic automorphic forms | 13 |
The cubic GSp4 GL3 convolution | 18 |
Copyright | |
4 other sections not shown
Common terms and phrases
b(ac Bump and Hoffstein CALIFORN CALIFORNIA/SANTA CRUZ UNIVERSITY coefficients of 26n cosets contribute zero cover of GSp(4 CRUZ The Unive CRUZ The University cubic metaplectic automorphic define Dirichlet series double cover double Dirichlet series dy₁ dy2 eigenfunction Eisenstein series ep² Euler product form on GL(3 form on GSp(4 functional equation g(n₁ GL(n Hecke operators Hoffstein BH2 k₁ k₂ L-functions Lemma Library The University meromorphic continuation metaplectic automorphic form metaplectic cusp form metaplectic group minimal parabolic mod p² n-fold cover n₁ n₁p¹ n₁p² n₂ n₂p n₂p¯¹ n₂p¹ n₂p³ non-metaplectic Np¹ Np³ Np p² ap² p² These cosets parabolic Eisenstein series proof SANTA CRUZ UNIVERSITY Shimura type Rankin-Selberg Shimura's techniques sum of coefficients Symplectic Group Theorem 5.1 University Library UNIVERSITY UNIVERSITY OF CALIFORNIA UNIVERSITY OF CALIFORNIA/SANTA Whittaker function Whittaker-Fourier coefficients x¹³ x¹º yly2 Ալ Աշ ԱՅ