GLAISHER-TYPE PRODUCTS OVER THE PRIMES-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

GLAISHER-TYPE PRODUCTS OVER THE PRIMES

Published:2012-03 Issue:02 Volume:08 Page:543-550
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

VAN GORDER ROBERT A.¹

Affiliation:

1. Department of Mathematics, University of Central Florida, P. O. Box 161364, Orlando, FL 32816-1364, USA

Abstract

In this short paper, we demonstrate the computation of certain Glaisher-type products over the primes by differentiation of the Euler product identity. We are able to give a formula for the logarithmic derivative of ζ(x) in terms of this product, in addition to some other interesting identities.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042112500297

Reference19 articles.

1. Polygamma functions of negative order

2. Inequalities for the double gamma function

3. Sur la fonction gamma généralisée

4. Möbius inversion formulas for flows of arithmetic semigroups

Cited by 3 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. The zeta-regularized product of odious numbers;Advances in Applied Mathematics;2021-05

2. Closed-form calculation of infinite products of Glaisher-type related to Dirichlet series;The Ramanujan Journal;2018-08-31

3. Does the Riemann zeta function satisfy a differential equation?;Journal of Number Theory;2015-02

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