Counting Hecke eigenforms with nonvanishing \(L\) value
Keywords:modular L-function, cusp forms, integral weight, full modular group, Non-vanishing of L-functions
We develop some asymptotics for a kernel function introduced by Kohnen and use them to
estimate the number of normalised Hecke eigenforms in $S_k(\Gamma_0(1))$ whose $L$-values
are simultaneously non-vanishing at a given pair of points each of which lies inside the critical strip.
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