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- W1976663841 abstract "Let Sk(Γ0(N),χ) be the space of holomorphic Γ0(N) forms of integral weight k and character χ. Let fj(z), 1≤j≤v 2k new (p), be the set of normalized newforms of S2k(Γ0(p),1), where p is a prime, and let $$L_j (s) = L_{f_i } (s)$$ be the L-function of fj(z). It is proved that $$sumlimits_{1 leqslant j leqslant v_{2k}^{new} (p)} {L_j^2 (tfrac{1}{2}) ll plog ^4 p cdot log log p} , p to infty$$ where 2k≥4. Errors in an earlier paper (RŽMat, 1989, 4A65) are corrected. Bibliography: 11 titles." @default.
- W1976663841 created "2016-06-24" @default.
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- W1976663841 date "1996-05-01" @default.
- W1976663841 modified "2023-09-25" @default.
- W1976663841 title "Applications of the petersson formula for a bilinear form in fourier coefficients of cusp forms" @default.
- W1976663841 cites W1568952101 @default.
- W1976663841 doi "https://doi.org/10.1007/bf02366465" @default.
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