Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height-Reference-Cited by-同舟云学术

Duality for finite/symmetric multiple zeta values of fixed weight, depth, and height

Published:2023-07-19 Issue:10 Volume:19 Page:2299-2307
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Sakurada Kosuke¹

Affiliation:

1. Mathematical Institute, Tohoku University, 6–3, Aoba, Aramaki, Aoba–Ku, Sendai, 980–8578, Japan

Abstract

In this paper, we prove a duality formula for the sum of the finite/symmetric multiple zeta-star values of fixed weight, depth, and height, which was conjectured by Kaneko. This result is a generalization of “height-one duality” proved by Hoffman and an analogue of the duality formula for the sum of the multiple zeta-star values proved by Li.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042123501129

Reference15 articles.

1. Sum relations for multiple zeta values and connection formulas for the Gauss hypergeometric functions

2. Cyclotomic analogues of finite multiple zeta values

3. A CONGRUENCE BETWEEN SYMMETRIC MULTIPLE ZETA-STAR VALUES AND MULTIPLE ZETA-STAR VALUES

4. QUASI-SYMMETRIC FUNCTIONS AND MOD p MULTIPLE HARMONIC SUMS

5. Double mélange des multizêtas finis et multizêtas symétrisés

Cited by 2 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. Finite Multiple Mixed Values;Foundations;2024-09-06

2. Finite and Symmetric Euler Sums and Finite and Symmetric (Alternating) Multiple T-Values;Axioms;2024-03-23