The Graphs of Quantum Dilogarithm

Details The Graphs of Quantum Dilogarithm The Graphs of Quantum Dilogarithm

2011-08-26

arxiv.org/abs/1108.5376v2

Mathematics

Quantum Algebra

27 pages, 24 figures, fixed typos and references

Scientific paper

Using the complex coloring method, we present the graphs of the quantum
dilogarithm function $G_b(z)$ and visualize its analytic and asymptotic
behaviours. In particular we demonstrate the limiting process when the modified
$G_b(z)\to \Gamma(z)$ as $b\to 0$. We also survey the relations of $G_b(z)$
with different variants of the quantum dilogarithm function.

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