Geodesic
On an Identity of Mahler
Matematičeskie zametki, Tome 79 (2006) no. 1, pp. 107-119

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We prove that certain multiple integrals depending on the complex parameter $z$ can be expressed as polynomials in $z$ and $\ln(1-z)$. Similar identities were first used by K. Mahler in connection with the proofs of certain results of the theory of transcendental numbers. 
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     title = {On an {Identity} of {Mahler}},
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Yu. V. Nesterenko. On an Identity of Mahler. Matematičeskie zametki, Tome 79 (2006) no. 1, pp. 107-119. http://geodesic.mathdoc.fr/item/MZM_2006_79_1_a8/