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On Stark's theorem

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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.

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Literature cited

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    N. I. Fel'dman & N. G. Chudakov

  2. Leningrad Branch of the V. A. Steklov Mathematics Institute, Academy of Sciences, USSR

    N. I. Fel'dman & N. G. Chudakov

Authors
  1. N. I. Fel'dman
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  2. N. G. Chudakov
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Additional information

Translated from Matematicheskie Zametki, Vol. 11, No. 3, pp. 329–340, March, 1972.

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Fel'dman, N.I., Chudakov, N.G. On Stark's theorem. Mathematical Notes of the Academy of Sciences of the USSR 11, 204–210 (1972). https://doi.org/10.1007/BF01098527

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  • DOI: https://doi.org/10.1007/BF01098527

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