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<p>Let Δ<sub>1</sub> (<i>x</i>; <i>φ</i>) denote the Riesz mean error term in the classical Rankin-Selberg problem. In this paper, we study the higher power moments of Δ<sub>1</sub> (<i>x</i>; <i>φ</i>) and derive asymptotic formulas for 4-th and 5-th power moments.</p>

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On the Higher Power Moments of the Riesz Mean Error Term for the Rankin-Selberg Problem

  • 期刊论文

  • 发表日期：

    2025年7月15日

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  • Jing Huang,
  • Yoshio Tanigawa,
  • Wenguang Zhai,
  • Deyu Zhang

摘要

Let Δ1 (x; φ) denote the Riesz mean error term in the classical Rankin-Selberg problem. In this paper, we study the higher power moments of Δ1 (x; φ) and derive asymptotic formulas for 4-th and 5-th power moments.