A sixteenth-order polylogarithm ladder
Cohen, Henri ; Lewin, Leonard ; Zagier, Don
Experiment. Math., Tome 1 (1992) no. 4, p. 25-34 / Harvested from Project Euclid
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Using the LLL algorithm and the second author's "ladder'' method, we find (conjectural) $\Z$-linear relations among polylogarithms of order up to 16 evaluated at powers of a single algebraic number. These relations are in accordance with theoretical predictions and are valid to an accuracy of 300 decimal digits, but we cannot prove them rigorously.
Publié le : 1992-05-14
Classification:  11Y40,  11Y60,  33E20 
@article{1048709113,
     author = {Cohen, Henri and Lewin, Leonard and Zagier, Don},
     title = {A sixteenth-order polylogarithm ladder},
     journal = {Experiment. Math.},
     volume = {1},
     number = {4},
     year = {1992},
     pages = { 25-34},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1048709113}
}

Cohen, Henri; Lewin, Leonard; Zagier, Don. A sixteenth-order polylogarithm ladder. Experiment. Math., Tome 1 (1992) no. 4, pp.  25-34. http://gdmltest.u-ga.fr/item/1048709113/