Some formulas related to dilogarithms, the zeta function and the Andrews-Gordon identities

Author:

Richmond Bruce,Szekeres George

Abstract

AbstractIt is shown that non-trivial relations between certain values of the dilogarithm function can be obtained through the asymptotic comparison of coefficients of the expressions which appear in the Rogers-Ramanujan and Andrews-Gordon identities.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference7 articles.

1. A NOTE ON SPENCE'S LOGARITHMIC TRANSCENDANT

2. SOME ASYMPTOTIC FORMULAE IN THE THEORY OF PARTITIONS (II)

3. Abramowitz Milton and Stegun Irene A. (1964), Handbook of mathematical functions (National Bureau of Standards).

Cited by 43 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. Dilogarithm identities after Bridgeman;Mathematical Proceedings of the Cambridge Philosophical Society;2022-03-03

2. Many Variations of Mahler Measures;AUST MATH SOC LECT;2020-05-07

3. A framework of Rogers–Ramanujan identities and their arithmetic properties;Duke Mathematical Journal;2016-06-01

4. Rogers–Ramanujan type identities and Nil-DAHA;Advances in Mathematics;2013-11

5. Bibliography;Zeta and q-Zeta Functions and Associated Series and Integrals;2012

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