343 citations · 1.3k across the 39 of their papers we have counts for
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Combinatorial aspects of multiple zeta values
J. M. Borwein, D. M. Bradley, D. J. Broadhurst +1
Multiple zeta values (MZVs, also called Euler sums or multiple harmonic series) are nested generalizations of the classical Riemann zeta function evaluated at integer values. The f…
Determinations of rational Dedekind-zeta invariants of hyperbolic manifolds and Feynman knots and links
J. M. Borwein, D. J. Broadhurst
We identify 998 closed hyperbolic 3-manifolds whose volumes are rationally related to Dedekind zeta values, with coprime integers and giving $a/b vol(M)=(-D)^{3/2}/(2π)^{2n…
A dilogarithmic 3-dimensional Ising tetrahedron
D. J. Broadhurst
In 3 dimensions, the Ising model is in the same universality class as -theory, whose massive 3-loop tetrahedral diagram, , was of an unknown analytical nature. In con…
Polylogarithmic ladders, hypergeometric series and the ten millionth digits of and
D. J. Broadhurst
We develop ladders that reduce , for , and , for , to convergent polylogarithms and products of…