Siegel modular forms of degree two attached to Hilbert modular forms

JOURNAL OF NUMBER THEORY

卷:132

Article

Johnson-Leung, Jennifer¹  Roberts, Brooks¹ 

[1] Univ Idaho, Dept Math, Moscow, ID 83843 USA

关键词: Hilbert modular form;    Siegel modular form;    Hecke eigenvalues;    Epsilon factors;    Paramodular newform;   

DOI  :  10.1016/j.jnt.2011.08.004

来源: Elsevier

【 摘 要 】

Let E/Q be a real quadratic field and pi(0) a cuspidal, irreducible, automorphic representation of GL(2, A(E)) with trivial central character and infinity type (2,2n + 2) for some non-negative integer n. We show that there exists a non-zero Siegel paramodular newform F: h(2) -> C with weight, level. Hecke eigenvalues, epsilon factor and L-function determined explicitly by pi(0). We tabulate these invariants in terms of those of pi(0) for every prime p of Q. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free