| Integrals, Partitions, and Cellular Automata (2003) | |||||||||
Abstract | |||||||||
| 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. Comment: Revised version. 28 pages, 2 figures | |||||||||
Publication details | |||||||||
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