David J. Broadhurst

activity

19962026

most citedComparison of the Gottfried and Adler sum rules within the large-Nc expansion

28 citations · 96 across the 11 of their papers we have counts for

collaborators

Showing 2025 · math.NTShow all

3 papers · 2 filters

math.NT2025

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 $G (z) = \sum_{n = 1}^{\infty} n z^{n}$ for $∣ z ∣ < 1$ , find its a…

math.NT2025

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 $q = 1^{-}$ . For…

math.NT2025

Number of partitions of modular integers (with an Appendix by P. Deligne)

David Broadhurst, Xavier Roulleau

For integers $n, k, s$ , we give a formula for the number $T (n, k, s)$ of order $k$ subsets of the ring $Z / n Z$ whose sum of elements is $s$ modulo $n$ . To do so, we de…