2015/12/31 by Kurusch Ebrahimi‐Fard, Kurusch Ebrahimi-Fard, Dominique Manchon +1 · 9 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Arithmetic zeta function #Context (archaeology) #Duality (order theory) #Mathematics #Order (exchange) #Pure mathematics #Relation (database) #Riemann zeta function #Series (stratigraphy) #math.NT
paper · pdf · doi:10.1016/j.aim.2016.04.015
published in Advances in Mathematics 298, 254-285 (Elsevier BV) · revised version, accepted for publication in Advances in Mathematics
arxiv created 2016/04/25 · openalex publication_date 2016/05/06 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Following Bachmann's recent work on bi-brackets and multiple Eisenstein series, Zudilin introduced the notion of multiple q-zeta brackets, which provides a q-analog of multiple zeta values possessing both shuffle as well as quasi-shuffle relations. The corresponding products are related in terms of duality. In this work we study Zudilin's duality construction in the context of classical multiple zeta values as well as various q-analogs of multiple zeta values. Regarding the former we identify the derivation relation of order two with a Hoffman-Ohno type relation. Then we describe relations between the Ohno-Okuda-Zudilin q-multiple zeta values and the Schlesinger-Zudilin q-multiple zeta values.