Special Values of Multiple Polylogarithms

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dc.creatorBorwein, Jonathan M.
dc.creatorBradley, David M.
dc.creatorBroadhurst, David J.
dc.creatorLisonek, Petr
dc.date1999-10-08
dc.date.accessioned2026-07-07T08:08:54Z
dc.date.available2026-07-07T08:08:54Z
dc.descriptionHistorically, the polylogarithm has attracted specialists and non-specialists alike with its lovely evaluations. Much the same can be said for Euler sums (or multiple harmonic sums), which, within the past decade, have arisen in combinatorics, knot theory and high-energy physics. More recently, we have been forced to consider multidimensional extensions encompassing the classical polylogarithm, Euler sums, and the Riemann zeta function. Here, we provide a general framework within which previously isolated results can now be properly understood. Applying the theory developed herein, we prove several previously conjectured evaluations, including an intriguing conjecture of Don Zagier.
dc.description35 pages
dc.identifierhttps://arxiv.org/abs/math/9910045
dc.identifierhttp://arxiv.org/abs/math/9910045
dc.identifierTransactions of the American Mathematical Society, Vol. 353 (2001), no. 3, pp. 907-941. MR1709772 (2003i:33003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131422
dc.subjectClassical Analysis and ODEs
dc.subjectCombinatorics
dc.subject40B05; 33E20
dc.titleSpecial Values of Multiple Polylogarithms
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