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 |
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Pages (from-to) | 251-270 |
Number of pages | 23 |
Journal | Journal of the London Mathematical Society |
Volume | 88 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2013 |
Bibliographical note
23 pages, version after incorporating referee's comments; to appear in J. Lond. Math. SocKeywords
- math.NT
- 11F67, 11F70, 11F46