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Sbornik: Mathematics, 2001, Volume 192, Issue 8, Pages 1225–1239
DOI: https://doi.org/10.1070/SM2001v192n08ABEH000590 (Mi sm590) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On linear independence of values of generalized polylogarithms

V. N. Sorokin

M. V. Lomonosov Moscow State University
English version PDF (192 kB) Citations (10)
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DOI: https://doi.org/10.1070/SM2001v192n08ABEH000590
Abstract: The linear independence of the values at certain rational points of generalized polylogarithms, which generate the algebra of all analytic functions with three logarithmic branch points, is established. Hermite–Padé approximations for an Angelesco–Nikishin system defined by a complete binary tree are used.
Received: 29.01.2001
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 8, Pages 139–154
DOI: https://doi.org/10.4213/sm590
Bibliographic databases:
UDC: 517.53+511.3
MSC: Primary 11J72; Secondary 41A21, 11G55
Language: English
Original paper language: Russian
Citation: V. N. Sorokin, “On linear independence of values of generalized polylogarithms”, Mat. Sb., 192:8 (2001), 139–154; Sb. Math., 192:8 (2001), 1225–1239
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Abstract page:391
    Russian version PDF:178
    English version PDF:10
    References:51
    First page:1
     
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