109 citations · 435 across the 24 of their papers we have counts for
25 papers
Truncated Multiple Zeta Values
Steven Charlton, Michael E. Hoffman
We generalize the definition of truncated multiple zeta values by allowing arbitrary integers as arguments. This leads to interesting identities, particularly with the argument 0.…
An explicit Galois descent for multiple -values of maximal height
Steven Charlton, Michael E. Hoffman, Nobuo Sato
We give an explicit formula for the Galois descent expressing multiple -values of maximal height in terms of classical multiple zeta values, making precise Murakami's earlier mo…
Differential operators and a depth reduction for the alternating multiple zeta values
Kam Cheong Au, Steven Charlton, Michael E. Hoffman
We establish an identity amongst certain differential operators applied to a formal power-series. As a corollary we obtain an explicit depth reduction result for alternating MZV's…
Symmetry results for multiple -values
Steven Charlton, Michael E. Hoffman
For a composition whose first part exceeds 1, we can define the multiple -value as the sum of all the terms in the series for the multiple zeta value whose den…
Logarithmic integrals, zeta values, and tiered binomial coefficients
Michael E. Hoffman, Markus Kuba
We study logarithmic integrals of the form . They are expressed as a rational linear combination of certain rational numbers , which we c…
Quasi-shuffle algebras and applications
Michael E. Hoffman
Quasi-shuffle algebras have been a useful tool in studying multiple zeta values and related quantities, including multiple polylogarithms, finite multiple harmonic sums, and q-mult…