LsToLi: A Mathematica package for evaluating log-sine integrals

This Mathematica package accompanies the paper Special values of generalized log-sine integrals. Besides the package you find a notebook which shows basic usage. If you don't have access to Mathematica you can still look at the attached pdf file logsine-usage.pdf which illustrates the package in use.

Note that the package is preliminary and hasn't received final touches yet—please report any issues to

A preliminary package for Sage with functionality similar to the 2011 version is also available.


17.95 KB LsToLi Mathematica package 3958
98.06 KB Mathematica notebook illustrating basic usage 3528
201.61 KB PDF illustrating basic usage (PDF, 11 pages) 2473


 LsToLi 2.0 2013/04/03Armin Straub
*The results from the new preprint Relations for Nielsen polylogarithms are now included and available by calling the function LiReduce.
*In particular, the table of reductions has been further optimized and extended to weight 16.
 LsToLi 1.4 2011/07/13Armin Straub
*The table of reductions has been optimized. In particular, the table now only contains the extra reductions at $\pi/3$. All known reductions at other values are handled via families of general reductions.
*More reductions of one-dimensional Clausen values are included.
*For evaluations at $\pi$ the general evaluation code is now used in favor of extracting from the generating series.