A Sixteenth-order Polylogarithm Ladder
Cohen, Henri; Lewin, Leonard; Zagier, Don; Cohen, Henri; Centre de Recherche en Mathérnatiques de Bordeaux, Université Bordeaux I; Lewin, Leonard; Department of Electrical and Computer Engineering, University of Colorado at Boulder; Zagier, Don; Max-Planck-Institut fiir Mathematik, Gottfried-Claren-Str
Журнал:
Experimental Mathematics
Дата:
1992
Аннотация:
Using the LLL algorithm and the second author's “ladder” method, we fi nd (conjec tural) 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.
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