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Matematicheskie Zametki, 2006, Volume 79, Issue 1, Pages 107–119
DOI: https://doi.org/10.4213/mzm2679 (Mi mzm2679) 		 
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
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DOI: https://doi.org/10.4213/mzm2679
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
English version:
Mathematical Notes, 2006, Volume 79, Issue 1, Pages 97–108
DOI: https://doi.org/10.1007/s11006-006-0009-7
Bibliographic databases:
UDC: 517.5+511.36
Language: Russian
Citation: Yu. V. Nesterenko, “On an Identity of Mahler”, Mat. Zametki, 79:1 (2006), 107–119; Math. Notes, 79:1 (2006), 97–108
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Kalmykov M. Yu., Warda B. F. L., Yost S. A., “Multiple (inverse) binomial sums of arbitrary weight and depth and the all-order epsilon-expansion of generalized hypergeometric functions with one half-integer value of parameter”, JHEP, 2007, no. 10, 048  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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