K. Hikami, A. N. Kirillov, “Hypergeometric generating function of <nobr>$L$</nobr>-function, Slater's identities, and quantum invariant”, Algebra i Analiz, 2005, Volume 17, Issue 1,Pages <nobr>190

This article is cited in 7 papers

Research Papers

Hypergeometric generating function of $L$-function, Slater's identities, and quantum invariant

K. Hikami^a, A. N. Kirillov^b

^a Department of Physics, Graduate School of Science, University of Tokyo, Japan
^b Research Institute of Mathematical Sciences, Kyoto University, Japan

Abstract: Relationships between the quantum invariants of the torus knots $\tau_{3,2^k}$ andsome $q$-series identities are studied. In particular, new generalizations of the Slater identities (83) and (86) are obtained.

Received: 07.09.2004

Language: English