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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…
math.NT2024
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…