From the 1 of 4 linked papers with an AI index.
4 papers
Resurgent Lambert series from Feynman and beyond
David Broadhurst, Daniele Dorigoni
The paper analyzes Lambert series arising from multi‑loop Feynman diagrams, uses resurgence methods to control their singular limit as |q|→1, and extends the approach to modular re…
Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst, GergÅ Nemes, 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…