343 citations · 1.3k across the 39 of their papers we have counts for
Showing 2008Show all
3 papers · 1 filter
math-ph2008★ 10 cited
Solutions by radicals at singular values k_N from new class invariants for N \equiv 3 mod 8
David Broadhurst
For square-free mod 8 and coprime to 3, I show how to reduce the singular value to radicals, using a novel pair of real numbers that are algebraic inte…
hep-th2008★ 140 cited
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.…
hep-th2008★ 24 cited
Elliptic integral evaluation of a Bessel moment by contour integration of a lattice Green function
David Broadhurst
A proof is found for the elliptic integral evaluation of the Bessel moment $$M:=\int_0^\infty t I_0^2(t)K_0^2(t)K_0(2t) {\rm d}t ={1/12} {\bf K}(\sin(π/12)){\bf K}(\cos(π/12)) =\fr…