This article is cited in 1 paper

Lower bounds for linear forms in values of polylogarithms

T. G. Hessami Pilehrood, Kh. Hessami Pilehrood

Shahrekord University

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.

UDC: 511.36

Received: 28.01.2004
Revised: 29.06.2004

DOI: 10.4213/mzm2511

 English version: Mathematical Notes, 2005, 77:4, 573–579

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