Let $ \Delta_1(x; \varphi) $ denote the error term in the classical Rankin-Selberg problem. In this paper, our main results are getting the $ k $-th $ (3\leq k\leq5) $ power moments of $ \Delta_1(x; \varphi) $ in short intervals and its asymptotic formula by using large value arguments.
Citation: Jing Huang, Qian Wang, Rui Zhang. The short interval results for power moments of the Riesz mean error term[J]. Electronic Research Archive, 2023, 31(9): 5917-5927. doi: 10.3934/era.2023300
Let $ \Delta_1(x; \varphi) $ denote the error term in the classical Rankin-Selberg problem. In this paper, our main results are getting the $ k $-th $ (3\leq k\leq5) $ power moments of $ \Delta_1(x; \varphi) $ in short intervals and its asymptotic formula by using large value arguments.
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Jing Huang, Qian Wang, Rui Zhang. The short interval results for power moments of the Riesz mean error term[J]. Electronic Research Archive, 2023, 31(9): 5917-5927. doi: 10.3934/era.2023300
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