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This article is cited in 1 scientific paper (total in 1 paper)
On an Identity of Mahler
Yu. V. Nesterenko M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
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.
Received: 27.12.2004
Citation:
Yu. V. Nesterenko, “On an Identity of Mahler”, Mat. Zametki, 79:1 (2006), 107–119; Math. Notes, 79:1 (2006), 97–108
Linking options:
https://www.mathnet.ru/eng/mzm2679https://doi.org/10.4213/mzm2679 https://www.mathnet.ru/eng/mzm/v79/i1/p107
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