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Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects

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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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Authors and Affiliations

  1. Graduate School of Information Engineering, Hiroshima University, 1-4-1 Kagamiyama, Higashi-hiroshima, 739-8527, Japan

    Y. Ichihara

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  1. Y. Ichihara
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Correspondence to Y. Ichihara.

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Ichihara, Y. Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects. Lith Math J 48, 188–202 (2008). https://doi.org/10.1007/s10986-008-9003-y

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  • DOI: https://doi.org/10.1007/s10986-008-9003-y

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