7 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…
On a proof of Xu's Conjecture and depths of Galois descents
Steven Charlton
We give an explicit formula proving Xu's Conjecture on alternating double zeta values. We also discuss the limitations of Glanois' motivic Galois descent criterion in this case, as…
Explicit linear dependence congruence relations for the partition function modulo 4
Steven Charlton
Almost nothing is known about the parity of the partition function , which is conjectured to be random. Despite this expectation, Ono surprisingly proved the existence of inf…
On the parity of coefficients of eta powers
Steven Charlton, Lukas Mauth, Anna Medvedovsky
We consider a special subsequence of the Fourier coefficients of powers of the Dedekind -function, analogous to the sequence on which exceptional…
Creative telescoping and generating functions of (variants of) multiple zeta values
Kam Cheong Au, Steven Charlton
We show how to convert the generating series of interpolated multiple zeta values, or multiple values, with repeating blocks of length 1 into hypergeometric series. Then we inv…
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…