2021/10/29 by Benjamin Brindle, Brindle, Benjamin
Mathematics · #05A15 #05A17 #05A30. Secondary: 11P81 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary: 11M32
paper · pdf · doi:10.48550/arxiv.2111.00051
openalex publication_date 2021/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This survey gives a self-contained introduction to q-analogues of multiple zeta values (qMZVs). For this, we consider most common models of qMZVs in a unified setup going back to Bachmann and Kühn, such as a related quasi-shuffle product each. Also, we give distinguished translations between several models. As another unified approach to qMZVs, we introduce the concept of marked partitions.