343 citations · 1.3k across the 39 of their papers we have counts for
42 papers
Dickman multiple polylogarithms and the Lindemann-Furry letters
David Broadhurst, Stephan Ohlmeyer
The Dickman function gives the asymptotic probability that a large integer has no prime divisor exceeding . We expand it in terms of rapidly computable multiple…
Multivariate elliptic kites and tetrahedral tadpoles
David Broadhurst
This work deals with two types of Feynman integrals in perturbative quantum field theory: the 2-loop 2-point kite, with 5 arbitrary internal masses, and its completion by a sixth p…
Taming a resurgent ultra-violet renormalon
Michael Borinsky, David Broadhurst
Perturbative expansions in quantum field theory diverge for at least two reasons: the number of Feynman diagrams increases dramatically with the loop number and the process of reno…
Resonant resurgent asymptotics from quantum field theory
Michael Borinsky, David Broadhurst
We perform an all-order resurgence analysis of a quantum field theory renormalon that contributes to an anomalous dimension in six-dimensional scalar theory and is governed b…
Large Tate--Shafarevich orders from good triples
David Broadhurst
Record values are determined for the order $|\Sha|$ of the Tate--Shafarevich group of an elliptic curve , computed analytically by the Birch--Swinnerton-Dyer conjecture, and for…
Empirical determinations of Feynman integrals using integer relation algorithms
Kevin Acres, David Broadhurst
Integer relation algorithms can convert numerical results for Feynman integrals to exact evaluations, when one has reason to suspect the existence of reductions to linear combinati…