Siegel modular forms of degree two attached to Hilbert modular forms
Number Theory
2010-06-29 v1 Representation Theory
Abstract
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 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 rational prime p.
Cite
@article{arxiv.1006.5105,
title = {Siegel modular forms of degree two attached to Hilbert modular forms},
author = {Jennifer Johnson-Leung and Brooks Roberts},
journal= {arXiv preprint arXiv:1006.5105},
year = {2010}
}
Comments
23 pages, 2 tables