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On Stark's theorem
Authors:N. I. Fel'dman  N. G. Chudakov
Affiliation:(1) M. V. Lomonosov Moscow State University, USSR;(2) Leningrad Branch of the V. A. Steklov Mathematics Institute, Academy of Sciences, USSR
Abstract:A new proof is obtained for Gauss' hypothesis on class-one imaginary quadratic fields, based on the bound obtained by A. O. Gel'fond in 1939 for the modulus of linear forms of two logarithms of algebraic numbers.Translated from Matematicheskie Zametki, Vol. 11, No. 3, pp. 329–340, March, 1972.
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