Exponential sums over primes formed with coefficients of primitive cusp forms |
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| Authors: | Hui Xue Lao |
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| Institution: | (1) Department of Mathematics, Shandong Normal University, Ji’nan, 250014, P. R. China;(2) School of Mathematics, Shandong University, Ji’nan, 250100, P. R. China |
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| Abstract: | Let Λ
f
(n) be the coefficient of the logarithmic derivative for the Hecke L-function. In this paper we study the cancellation of the function Λ
f
(n) twisted with an additive character e(α√n), α > 0, i.e. S
f
(x) = Σ
x<n≤2x
Λ
f
(n)e(α√n).
This work is supported by the National Natural Science Foundation of China (Grant No. 10701048) |
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| Keywords: | Fourier coefficient of cusp forms exponential sums Hecke L-function |
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