Siegel modular forms of degree two attached to Hilbert modular forms

Details Siegel modular forms of degree two attached to Hilbert modular forms Siegel modular forms of degree two attached to Hilbert modular forms

2010-06-26

arxiv.org/abs/1006.5105v1

Mathematics

Number Theory

23 pages, 2 tables

Scientific paper

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.

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