用 L 函数加权的库默和的矩

The Ramanujan Journal Pub Date : 2024-05-04 DOI:10.1007/s11139-024-00862-1

Nilanjan Bag

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引用次数: 0

摘要

本文的主要目的是利用对特征和的估计和分析方法研究由 L 函数加权的库默和的高阶矩。本文的结果补充了张文鹏（2002）的猜想。本文的结果也给出了库默猜想（1846）的类似结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Moments of Kummer sums weighted by L-functions

The main purpose of this article is to study higher order moments of Kummer sums weighted by L-functions using estimates for character sums and analytic methods. The results of this article complement a conjecture of Zhang Wenpeng (2002). Also the results in this article give analogous results of Kummer’s conjecture (1846).

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The Ramanujan Journal

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