3 papers
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 , 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 -function, analogous to the sequence on which exceptional…