Modular Invariant of Quantum Tori II: The Golden Mean

摘要

In our first article in this series ("Modular Invariant of Quantum Tori I:Definitions Nonstandard and Standard" arXiv:0909.0143) a modular invariant ofquantum tori was defined. In this paper, we consider the case of the quantumtorus associated to the golden mean. We show that the modular invariant isapproximately 9538.249655644 by producing an explicit formula for it involvingweighted versions of the Rogers-Ramanujan functions.