The short interval results for power moments of the Riesz mean error term

Electronic Research Archive（2023）

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摘要

Let ?(1)(x; f) denote the error term in the classical Rankin-Selberg problem. In this paper, our main results are getting the k-th (3 = k = 5) power moments of ?(1)(x; f) in short intervals and its asymptotic formula by using large value arguments.

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关键词

the Rankin-Selberg problem,power moment,integral mean value,Voronoi formula

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