涉及素数的一般极限公式

IF 0.4 Q4 MATHEMATICS

Annales Mathematicae Silesianae Pub Date : 2022-09-01 DOI:10.2478/amsil-2022-0014

Reza Farhadian, R. Jakimczuk

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引用次数: 0

摘要

设pn为第n个素数。本文研究了正整数An的严格递增序列，使得极限limn→∞(A1A2···An)1/pn = e成立。这个极限公式实际上是对一些已知结果的推广。此外，还建立了一些其他的概括。

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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General Limit Formulae Involving Prime Numbers

Abstract Let pn be the n th prime number. In this note, we study strictly increasing sequences of positive integers An such that the limit limn→∞ (A1A2 · · · An)1/pn = e holds. This limit formula is in fact a generalization of some previously known results. Furthermore, some other generalizations are established.

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来源期刊

Annales Mathematicae Silesianae Mathematics-Mathematics (all)

CiteScore

0.60

自引率

25.00%

发文量

审稿时长

27 weeks