343 citations · 1.3k across the 39 of their papers we have counts for
5 papers · 1 filter
Special Values of Multiple Polylogarithms
Jonathan M. Borwein, David M. Bradley, David J. Broadhurst +1
Historically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums…
Dimensionally continued multi-loop gauge theory
D. J. Broadhurst
A dimensionally continued background-field method makes the rationality of the 4-loop quenched QED beta function far more reasonable than had previously appeared. After 33 years of…
Four-loop Dyson-Schwinger-Johnson anatomy
D. J. Broadhurst
Dyson-Schwinger equations are used to evaluate the 4-loop anomalous dimensions of quenched QED in terms of finite, scheme-independent, 3-loop integrals. Three of the results serve…
A seventeenth-order polylogarithm ladder
David H. Bailey, David J. Broadhurst
Cohen, Lewin and Zagier found four ladders that entail the polylogarithms at order , with indices , and being…
Parallel Integer Relation Detection: Techniques and Applications
David H. Bailey, David J. Broadhurst
Let be a vector of real numbers. An integer relation algorithm is a computational scheme to find the integers , if they exist, such that $a_1 x_1…