Siegel modular forms of degree two attached to Hilbert modular forms

Jennifer Johnson-Leung (University of Idaho)

 

Let E be a real quadratic field and let P be a cuspidal, irreducible, automorphic representation of GL(2) of the adeles of E with trivial central character and infinity type (2, 2n+2). We show that there exists a Siegel paramodular newform F with weight, level, epsilon factor, Hecke eigenvalues and L-function determined explicitly by P. These invariants are tabulated for all choices of P. I will also discuss some applications of this result. This is joint work with Brooks Roberts.

 


 


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