Abstract
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.
Citation
Henri Cohen. Leonard Lewin. Don Zagier. "A sixteenth-order polylogarithm ladder." Experiment. Math. 1 (1) 25 - 34, 1992.
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