Modular Invariant of Quantum Tori II: The Golden Mean

Details Modular Invariant of Quantum Tori II: The Golden Mean Modular Invariant of Quantum Tori II: The Golden Mean

2012-04-11

arxiv.org/abs/1204.2540v1

Mathematics

Number Theory

Scientific paper

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

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