Integrals, Partitions, and Cellular Automata

Details Integrals, Partitions, and Cellular Automata Integrals, Partitions, and Cellular Automata

2003-02-18

arxiv.org/abs/math/0302216v2

Mathematics

Probability

Revised version. 28 pages, 2 figures

Scientific paper

We prove that $$\int_0^1\frac{-\log f(x)}xdx=\frac{\pi^2}{3ab}$$ where $f(x)$ is the decreasing function that satisfies $f^a-f^b=x^a-x^b$, for $0

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