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math.NT2022
Evaluation of the multiple zeta values and period polynomial relations
Steven Charlton, Adam Keilthy
In studying the depth filtration on multiple zeta values, difficulties quickly arise due to a disparity between it and the coradical filtration. In particular, there are additional…
math.NT2022
A generalisation of quasi-shuffle algebras and an application to multiple zeta values
Adam Keilthy
A large family of relations among multiple zeta values may be described using the combinatorics of shuffle and quasi-shuffle algebras. While the structure of shuffle algebras have…