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<p>Let Δ<sub>1</sub>(<i>x</i>; <i>φ</i>) denote the error term in the classical Rankin-Selberg problem. In this paper, the authors consider the higher power moments of Δ<sub>1</sub>(<i>x</i>; <i>φ</i>) and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results.</p>

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On Higher Moments of the Error Term in the Rankin-Selberg Problem

  • 期刊论文

  • 发表日期：

    2025年9月2日

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

摘要

Let Δ1(x; φ) denote the error term in the classical Rankin-Selberg problem. In this paper, the authors consider the higher power moments of Δ1(x; φ) and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results.