Work

Duality theorems of multiple zeta values with parameters

Year: 2016

Type: preprint

Abstract: In this paper, we introduce the method of adding additional factors and a parameter to multiple zeta values and prove some generalizations of the duality theorem and several relations among multiple zeta values. In particular, we are able to evaluate some special (truncated) sums in terms of Riemann zeta values of different weights.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1607.00736

Authors: Chung, Chan-Liang, Eie, Minking

Institutions: National Chung Cheng University, Institute of Mathematics, Academia Sinica

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2472318090

Cites: 6

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Related to: 20