Chebyshev对Ramanujan 's $\tau$-函数的偏差通过深度黎曼假设

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2022-03-24 DOI:10.3792/pjaa.98.007

S. Koyama, N. Kurokawa

引用次数: 5

摘要

为了证明Ramanujan τ -函数的加权和偏向于正，作者采用了深黎曼假设。这种现象类似于切比雪夫的偏见。

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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Chebyshev’s bias for Ramanujan’s $\tau$-function via the Deep Riemann Hypothesis

The authors assume the Deep Riemann Hypothesis to prove that a weighted sum of Ramanujan’s τ -function has a bias to being positive. This phenomenon is an analogue of Chebyshev’s bias.

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.