Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects |
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| Authors: | Y Ichihara |
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| Institution: | (1) Graduate School of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima 739-8527, Japan |
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| Abstract: | We consider the sum of coefficients which are in the Dirichlet series expansion of symmetric square L-functions. In this paper, we obtain two estimates of this sum in weight and level aspects. These imply two estimates of the
sum of the n
2th Fourier coefficients of cusp forms. |
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| Keywords: | symmetric square L-function reflection principle Vorono? formula |
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