交替置换数的一个同余

IF 0.4 Q4 MATHEMATICS

Missouri Journal of Mathematical Sciences Pub Date : 2019-11-28 DOI:10.35834/2020/3301099

Sumit Kumar Jha

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引用次数: 1

摘要

我们给出了Knuth和Buckholtz关于交替同余数模奇数素数的周期的结果的一个新的证明。该证明基于特殊函数的性质，特别是多对数、狄利克雷-贝塔函数和第二类斯特灵数。

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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A Congruence for the Number of Alternating Permutations

We present a new proof of a result of Knuth and Buckholtz concerning the period of the number of alternating congruences modulo an odd prime. The proof is based on properties of special functions, specifically the polylogarithm, Dirichlet eta and beta functions, and Stirling numbers of the second kind.

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来源期刊

Missouri Journal of Mathematical Sciences MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Missouri Journal of Mathematical Sciences (MJMS) publishes well-motivated original research articles as well as expository and survey articles of exceptional quality in mathematical sciences. A section of the MJMS is also devoted to interesting mathematical problems and solutions.