10.17632/vnc3fc79cr.1
J. Ablinger
J. Blümlein
M. Round
C. Schneider
Numerical implementation of harmonic polylogarithms to weight w = 8
2019
Mendeley Data
Computational Physics
2019-07-22 09:26:28
article
https://mendeley.figshare.com/articles/Numerical_implementation_of_harmonic_polylogarithms_to_weight_w_8/8974679
We present the FORTRAN-code HPOLY.f for the numerical calculation of harmonic polylogarithms up to w = 8 at an absolute accuracy of ~10^{-15} or better. Using algebraic and argument relations the numerical representation can be limited to the range x in [0, sqrt(2)-1]. We provide replacement files to map all harmonic polylogarithms to a basis and the usual range of arguments to x in ]-infty, +infty [ the above interval analytically. We also briefly comment on a numerical implementation of real valued cyclotomic harmonic polylogarithms.