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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2000 Volume 64, Issue 6, Pages 125–180 (Mi im314)

This article is cited in 500 papers

An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II

E. M. Matveev

Moscow State Textile Academy named after A. N. Kosygin

Abstract: In this paper we establish an estimate for the modulus of a linear form of the type described in the title. This estimate is exponential with respect to the number of summands.

MSC: 11J86, 11J25

Received: 31.08.1999
Revised: 12.07.2000

DOI: 10.4213/im314


 English version:
Izvestiya: Mathematics, 2000, 64:6, 1217–1269

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© Steklov Math. Inst. of RAS, 2026