On the Riesz means of coefficients of <Emphasis Type="Italic">m</Emphasis>th symmetric power <Emphasis Type="Italic">L</Emphasis>-functions |
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Authors: | H Wang |
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Institution: | 1.School of Mathematics,Shandong University,Jinan,PR China |
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Abstract: | Let c
n
be the Fourier coefficients of L(sym
m
f, s), and Δρ(x; sym
m
f) be the error term in the asymptotic formula for ∑
n≪x
c
n
. In this paper, we study the Riesz means of Δρ(x; sym
m
f) and obtain a truncated Voronoi-type formula under the hypothesis Nice(m, f). |
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Keywords: | |
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