343 citations · 1.3k across the 39 of their papers we have counts for
4 papers · 1 filter
Exponential suppression with four legs and an infinity of loops
David J. Broadhurst, Andrei I. Davydychev
The L-loop 4-point ladder diagram of massless phi^3 theory is finite when all 4 legs are off-shell and is given in terms of polylogarithms with orders ranging from L to 2L. We obta…
Experimental Mathematics and Mathematical Physics
David H. Bailey, Jonathan M. Borwein, David Broadhurst +1
One of the most effective techniques of experimental mathematics is to compute mathematical entities such as integrals, series or limits to high precision, then attempt to recogniz…
Feynman's sunshine numbers
David Broadhurst
This is an expansion of a talk for mathematics and physics students of the Manchester Grammar and Manchester High Schools. It deals with numbers such as the Riemann zeta value zeta…
Dickman polylogarithms and their constants
David Broadhurst
The Dickman function F(alpha) gives the asymptotic probability that a large integer N has no prime divisor exceeding N^alpha. It is given by a finite sum of generalized polylogarit…