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- W1717897076 abstract "Let $f$ be a newform of even weight $k$, level $M$ and character $psi$ and let $g$ be a newform of even weight $l$, level $N$ and character $eta$. We give a generalization of a theorem of Elliott, regarding the average values of Dirichlet $L$-functions, in the context of twisted modular $L$-functions associated to $f$ and $g$. Using this result, we find a lower bound in terms of $Q$ for the number of primitive Dirichlet characters modulo prime $qleq Q$ whose twisted product $L$-functions $L_{f,chi }(s_0) L_{g,chi }(s_0)$ are non-vanishing at a fixed point $s_0=sigma _0+it_0$ with $frac {1}{2}<sigma _0leq 1$." @default.
- W1717897076 created "2016-06-24" @default.
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- W1717897076 date "2006-05-18" @default.
- W1717897076 modified "2023-09-29" @default.
- W1717897076 title "Simultaneous non-vanishing of twists" @default.
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- W1717897076 doi "https://doi.org/10.1090/s0002-9939-06-08369-9" @default.
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