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

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.

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

Information

Published: 1992
First available in Project Euclid: 26 March 2003

zbMATH: 0763.11049
MathSciNet: MR93I:11150

Subjects:
Primary: 11Y40
Secondary: 11Y60, 33E20

Rights: Copyright © 1992 A K Peters, Ltd.

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Vol.1 • No. 1 • 1992
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