Geometry and Topology

The $q$-binomial formula and the Rogers dilogarithm identity

R. M. Kashaev

Mathematics Section of University of Geneva, Geneva, Switzerland

Abstract: The $q$-binomial formula in the limit $q\to 1^-$ is shown to be equivalent to the Rogers five term dilogarithm identity.

Keywords: $q$-binomial formula, dilogarithm identity.

UDC: 512.5
BBK: B14

Language: English