An Ω-theorem for an error term related to the sum-of-divisors function

Author:

Pétermann Y. -F. S.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Erdös, P., Shapiro, H. N.: On the changes of sign of a certain error function. Canad. J. Math.3–4, 375–385 (1951).

2. Gronwall, T. H.: Some asymptotic expressions in the theory of numbers. Trans. Amer. Math. Soc.14, 113–122 (1913).

3. Mertens, F.: Ein Beitrag zur analytischen Zahlentheorie. J. Reine Angew. Math.78, 46–62 (1874).

4. Pétermann, Y.-F. S.: Oscillations and changes of sign of error terms related to Euler's function and to the sum-of-divisors function. Thèse de doctorat. Université de Genève. 1985.

5. Pétermann, Y.-F. S.: Changes of sign of error terms related to Euler's function and to divisor functions II. To appear.

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the average value of the first $n$ values of the sum-of-divisors function;Colloquium Mathematicum;2022

2. The First Years;Springer Monographs in Mathematics;2012

3. THE ALIQUOT CONSTANT;The Quarterly Journal of Mathematics;2010-12-23

4. On fluctuations in the mean of a sum-of-divisors function;Acta Arithmetica;2004

5. On the average of the sum-of-p-prime-divisors function;Acta Arithmetica;2002

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3