ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES-Reference-Cited by-同舟云学术

ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES

Published:2010-12 Issue:08 Volume:06 Page:1927-1932
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

KANEKO MASANOBU¹,OHNO YASUO²

Affiliation:

1. Faculty of Mathematics, Kyushu University, Motooka, Nishi-ku, Fukuoka 819-0395, Japan

2. Department of Mathematics, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan

Abstract

A duality-type relation for height one multiple zeta-star values is established. A conjectural generalization to the case of arbitrary height is also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211000385X

Reference8 articles.

1. A generating function for sums of multiple zeta values and its applications

2. Special values of hyperlogarithms and linear difference schemes

3. M. Kaneko, Diophantine Analysis and Related Fields (DARF 2007/2008) 976 (Amer. Inst. Phys., Melville, NY, 2008) pp. 118–124.

Cited by 20 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. Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height;International Journal of Number Theory;2023-07-19

2. Another proof of Kaneko–Ohno’s duality formula for multiple zeta star values;Colloquium Mathematicum;2023

3. Euler sums of multiple hyperharmonic numbers;Lithuanian Mathematical Journal;2022-02-02

4. A Weighted Sum Formula for Alternating Multiple Zeta-Star Values;Mediterranean Journal of Mathematics;2021-10-12

5. Explicit Formulas of Some Mixed Euler Sums via Alternating Multiple Zeta Values;Bulletin of the Malaysian Mathematical Sciences Society;2020-01-27