140 citations · 140 across the 2 of their papers we have counts for
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Elliptic integral evaluations of Bessel moments
David H. Bailey, Jonathan M. Borwein, David Broadhurst +1
We record what is known about the closed forms for various Bessel function moments arising in quantum field theory, condensed matter theory and other parts of mathematical physics.…
Central Binomial Sums, Multiple Clausen Values and Zeta Values
J. M. Borwein, D. J. Broadhurst, J. Kamnitzer
We find and prove relationships between Riemann zeta values and central binomial sums. We also investigate alternating binomial sums (also called Apéry sums). The study of non-alte…
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…
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…