2025/11/10 by Brindle, Benjamin
Computer Science · Mathematics · #05A30 #11M32 #13J25 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #semigroups and automata theory
paper · doi:10.48550/arxiv.2511.07302
openalex publication_date 2025/11/10 · openalex created_date 2025/11/12 · openalex updated_date 2026/07/28
In 2015, Bachmann \citeBa3 conjectured that the~\Q-vector space~\Zq of (formal)~q-analogues of Multiple Zeta Values (\qmzv s) is spanned by a very particular set compared to known spanning sets. In this work, we prove that this conjecture is true for a subspace of~\Zq spanned by words satisfying some condition on their number of zeros and depth. According to this partial result, we give an explicit approach to the whole conjecture, based on particular~\Q-linear relations among formal Multiple~q-Zeta Values which are implied by duality.