Steven Charlton

activity

20242026

collaborators

5 papers

math.NT2026

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.…

math.NT2026

An explicit Galois descent for multiple $t$ -values of maximal height

Steven Charlton, Michael E. Hoffman, Nobuo Sato

We give an explicit formula for the Galois descent expressing multiple $t$ -values of maximal height in terms of classical multiple zeta values, making precise Murakami's earlier mo…

math.NT2025

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…

math.NT2024

Explicit linear dependence congruence relations for the partition function modulo 4

Steven Charlton

Almost nothing is known about the parity of the partition function $p (n)$ , which is conjectured to be random. Despite this expectation, Ono surprisingly proved the existence of inf…

math.NT2024

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 $I^\cdot$ -function, analogous to the sequence $I^´_{ℓ} := 2 4^{- 1} (mod ℓ)$ on which exception…

Truncated Multiple Zeta Values

An explicit Galois descent for multiple t-values of maximal height

On a proof of Xu's Conjecture and depths of Galois descents

Explicit linear dependence congruence relations for the partition function modulo 4

On the parity of coefficients of eta powers

An explicit Galois descent for multiple $t$ -values of maximal height