Some properties of harmonic numbers-Reference-Cited by-同舟云学术

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Some properties of harmonic numbers

Published:2020-06 Issue:2 Volume:57 Page:207-216
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:Studia Scientiarum Mathematicarum Hungarica

Author:

Wu Bing-Ling¹,Yan Xiao-Hui²

Affiliation:

1. 1School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, P. R. China

2. 2School of Mathematical Sciences and Institute of Mathematics, Nanjing Normal University, Nanjing 210023, P. R. China and School of Mathematics and Statistics, Anhui Normal University, Wuhu 241003, P. R. China

Abstract

AbstractLet 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.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://akjournals.com/downloadpdf/journals/012/57/2/article-p207.xml

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