Some examples of Mahler measures as multiple polylogarithms

[摘要] The Mahler measures of certain polynomials of up to five variables are given in terms of multiple polylogarithms. Each formula is homogeneous and its weight coincides with the number of variables of the corresponding polynomial. (C) 2003 Elsevier Inc. All rights reserved.

[发布日期] 2003-11-01

[关键词] Mahler measure;L-functions;polylogarithms;hyperlogarithms;polynomials;Jensen's formula