On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

Details On the Rankin-Selberg problem: higher power moments of the Riesz mean error term On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

2008-05-14

arxiv.org/abs/0805.1975v1

Science in China Series A {\bf 51}(1)(2008), 148-160

Mathematics

Number Theory

18 Pages

Scientific paper

Let $\Delta_1(x;\phi)$ be the error term of the first Riesz means of the
Rankin-Selberg zeta function. We study the higher power moments of
$\Delta_1(x;\phi)$ and derive an asymptotic formula for 3-rd, 4-th and 5-th
power moments by using Ivi\'c 's large value arguments.

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