Some properties of harmonic numbers

IF 0.4 4区数学 Q4 MATHEMATICS

Studia Scientiarum Mathematicarum Hungarica Pub Date : 2020-06-01 DOI:10.1556/012.2020.57.2.1458

Bing-Ling Wu, Xiao-Hui Yan

引用次数: 0

Abstract

Let Hn be the n-th harmonic number and let vn be its denominator. It is known that vn is even for every integer . In this paper, we study the properties of Hn and prove that for any integer n, vn = en(1+o(1)). In addition, we obtain some results of the logarithmic density of harmonic numbers.

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调和数的一些性质

设Hn是n次谐波数vn是它的分母。已知vn对每一个整数都是偶数。本文研究了Hn的性质，证明了对于任意整数n, vn = en(1+o(1))。此外，我们还得到了调和数的对数密度的一些结果。

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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来源期刊

Studia Scientiarum Mathematicarum Hungarica 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The journal publishes original research papers on various fields of mathematics, e.g., algebra, algebraic geometry, analysis, combinatorics, dynamical systems, geometry, mathematical logic, mathematical statistics, number theory, probability theory, set theory, statistical physics and topology.