Highly Influenced

3 Excerpts

- Published 2013 in J. London Math. Society

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 χ of the ideal class group ClK such that L( 1 2 , fK × χ) 6= 0 and L( 1 2 , gK × χ) 6= 0. The proof is based on a non-vanishing result for Fourier coefficients of Siegel modular forms combined with the theory of Yoshida liftings.

@article{Saha2013YoshidaLA,
title={Yoshida lifts and simultaneous non-vanishing of dihedral twists of modular L-functions},
author={Abhishek Saha and Ralf Schmidt},
journal={J. London Math. Society},
year={2013},
volume={88},
pages={251-270}
}