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Diophantine approximations of log 2 and other logarithms

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Abstract

We describe a new approach to estimating μ(log 2), without improving Rukhadze’s result (1987). We find estimates for approximations to the number log 2 by numbers from the field ℚ(√2), to the number log((√5−1)/2) by numbers from the field ℚ(√5), and to some other numbers.

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Authors and Affiliations

  1. Bryansk State Technical University, Bryansk, Russia

    E. S. Sal’nikova

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  1. E. S. Sal’nikova
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Correspondence to E. S. Sal’nikova.

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Original Russian Text © E. S. Sal’nikova, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 3, pp. 428–438.

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Sal’nikova, E.S. Diophantine approximations of log 2 and other logarithms. Math Notes 83, 389–398 (2008). https://doi.org/10.1134/S0001434608030097

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  • DOI: https://doi.org/10.1134/S0001434608030097

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