28 citations · 96 across the 11 of their papers we have counts for
4 papers · 1 filter
Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst, Gergő Nemes
In a recent study of the quantum theory of harmonic oscillators, Gerard 't Hooft proposed the following problem: given for , find its a…
Resurgent Lambert series with characters
David Broadhurst, Daniele Dorigoni
We consider certain Lambert series as generating functions of divisor sums twisted by Dirichlet characters and compute their exact resurgent transseries expansion near . For…
Number of partitions of modular integers (with an Appendix by P. Deligne)
David Broadhurst, Xavier Roulleau
For integers , we give a formula for the number of order subsets of the ring whose sum of elements is modulo . To do so, we de…
Five families of rapidly convergent evaluations of zeta values
David Broadhurst
This work derives 5 methods to evaluate families of odd zeta values by combining a power of with Lambert series whose ratios of successive terms tend to with i…