343 citations · 1.3k across the 39 of their papers we have counts for
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hep-th1996★ 3 cited
Evaluations of k-fold Euler/Zagier sums: a compendium of results for arbitrary k
J. M. Borwein, D. M. Bradley, D. J. Broadhurst
Euler sums (also called Zagier sums) occur within the context of knot theory and quantum field theory. There are various conjectures related to these sums whose incompletion is a s…
hep-th1996★ 3 cited
Beyond the triangle and uniqueness relations: non-zeta counterterms at large N from positive knots
D. J. Broadhurst, J. A. Gracey, D. Kreimer
Counterterms that are not reducible to are generated by hypergeometric series arising from diagrams for which triangle and uniqueness relations furnish insufficie…
hep-th1996★ 73 cited
On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
D. J. Broadhurst
A generating function is given for the number, , of irreducible -fold Euler sums, with all possible alternations of sign, and exponents summing to . Its form is remar…