An algebraic integration for Mahler measure

There are many examples of several-variable polynomials whose Mahler measure is expressed in terms of special values of polylogarithms. These examples are expected to be related to computations of regulators, as observed by Deninger, and later Rodriguez-Villegas, and Maillot. While Rodriguez-Villegas made this relationship explicit for the two variable case, it is our goal to understand the three variable case and shed some light on the examples with more variables.Comment: 3 figure

Book Review: De Perlas

Review of Labarca, Angela, Olgalucia G. Gonzales and Elmer A. Rodriguez. De Perlas. New York: John Wiley & Sons, 1998. ISBN 0471109975. 293 pp

Book Review: Nault, L.R. and Rodriguez, J.G. (Editors). 1985. The leafhoppers and planthoppers

Book Review: Nault, L.R and Rodriguez, J.G. (Editors). 1985. The Leafhoppers and Planthoppers. John Wiley & Sons, New York. 500 pp