A seventeenth-order polylogarithm ladder

David H. Bailey, David J. Broadhurst

Cohen, Lewin and Zagier found four ladders that entail the polylogarithms ${\mathrm{Li}}_n({\alpha }_1^{-k}):={\sum }_{r>0}{\alpha }_1^{-kr}/r^n$ at order $n=16$, with indices $k\le 360$, and ${\alpha }_1$ being…