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Matematicheskie Zametki, 2005, Volume 77, Issue 4, Pages 623–629
DOI: https://doi.org/10.4213/mzm2511 (Mi mzm2511) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Lower bounds for linear forms in values of polylogarithms

T. G. Hessami Pilehrood, Kh. Hessami Pilehrood

Shahrekord University
Full-text PDF (197 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm2511
Abstract: In this paper, we use Hermite-Padé approximations of the second kind to obtain a lower bound for the absolute value of a linear form, with integer coefficients, in values of polylogarithmic functions at a rational point. This estimate takes into account the growth of all coefficients of the linear form.
Received: 28.01.2004
Revised: 29.06.2004
English version:
Mathematical Notes, 2005, Volume 77, Issue 4, Pages 573–579
DOI: https://doi.org/10.1007/s11006-005-0057-4
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: T. G. Hessami Pilehrood, Kh. Hessami Pilehrood, “Lower bounds for linear forms in values of polylogarithms”, Mat. Zametki, 77:4 (2005), 623–629; Math. Notes, 77:4 (2005), 573–579
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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