关于富士的平均哥德巴赫表示公式

IF 0.8 2区数学 Q2 MATHEMATICS

Nagoya Mathematical Journal Pub Date : 2021-10-27 DOI:10.1017/nmj.2022.44

D. Goldston, A. I. Suriajaya

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引用次数: 7

摘要

摘要Fujii得到了一个关于具有低阶项的Goldbach表示的平均数的公式，该低阶项表示为Riemann-zeta函数的零上的和和和一个较小的误差项。这假设了黎曼假说。我们得到了这一结果的一个无条件版本，并得到了在Riemann-zeta函数零点上的各种猜想的条件下的应用。

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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ON AN AVERAGE GOLDBACH REPRESENTATION FORMULA OF FUJII

Abstract Fujii obtained a formula for the average number of Goldbach representations with lower-order terms expressed as a sum over the zeros of the Riemann zeta function and a smaller error term. This assumed the Riemann Hypothesis. We obtain an unconditional version of this result and obtain applications conditional on various conjectures on zeros of the Riemann zeta function.

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来源期刊

Nagoya Mathematical Journal 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Nagoya Mathematical Journal is published quarterly. Since its formation in 1950 by a group led by Tadashi Nakayama, the journal has endeavoured to publish original research papers of the highest quality and of general interest, covering a broad range of pure mathematics. The journal is owned by Foundation Nagoya Mathematical Journal, which uses the proceeds from the journal to support mathematics worldwide.