On relations for the q-multiple zeta values

2004/02/10 by Jun-ichi Okuda, Okuda, Jun-ichi, Yoshihiro Takeyama +1
Mathematics · #05A30 #11B65 #33D15 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Quantum Algebra (math.QA) #math.NT #math.QA #msc:05A30 #msc:11B65 #msc:33D15

paper · pdf · doi:10.48550/arxiv.math/0402152

16 pages

openalex publication_date 2004/02/10 · arxiv created 2005/01/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove some relations for the q-multiple zeta values (qMZV). They are q-analogues of the cyclic sum formula, the Ohno relation and the Ohno-Zagier relation for the multiple zeta values (MZV). We discuss the problem to determine the dimension of the space spanned by qMZV's over \Q, and present an application to MZV.

Related

• Multiple zeta values and their q-analogues
• Quadratic relations for a q-analogue of multiple zeta values
• A cyclic analogue of multiple zeta values
• A class of relations among multiple zeta values
• A parametrized generalization of Ohno's relation for multiple zeta values