# Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions

Abhishek Saha, Ralf Schmidt

Research output: Contribution to journalArticle (Academic Journal)peer-review

19 Citations (Scopus)

## Abstract

Given elliptic modular forms f and g satisfying certain conditions on their weights and levels, we prove (a quantitative version of the statement) that there exist infinitely many imaginary quadratic fields K and characters chi of the ideal class group Cl_K such that L(1/2, f_K \times chi) \neq 0 and L(1/2, g_K \times chi) \neq 0. The proof is based on a non-vanishing result for Fourier coefficients of Siegel modular forms combined with the theory of Yoshida liftings.
Original language English 251-270 23 Journal of the London Mathematical Society 88 1 https://doi.org/10.1112/jlms/jdt008 Published - 2013

### Bibliographical note

23 pages, version after incorporating referee's comments; to appear in J. Lond. Math. Soc

## Keywords

• math.NT
• 11F67, 11F70, 11F46

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