3 papers
math.NT2025
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…
hep-ph2002
Where do the tedious products of zetas come from?
D. J. Broadhurst
Lamentably, the full analytical content of the epsilon-expansion of the master two-loop two-point function, with arbitrary self-energy insertions in 4-2epsilon dimensions, is still…
hep-th1998
Solving differential equations for 3-loop diagrams: relation to hyperbolic geometry and knot theory
D. J. Broadhurst
In hep-th/9805025, a result for the symmetric 3-loop massive tetrahedron in 3 dimensions was found, using the lattice algorithm PSLQ. Here we give a more general formula, involving…