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Diophantine approximations of the number π by numbers from the field ℚ(√3)

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Abstract

We prove an estimate of the irrationality measure of any nonzero number of the form r 1 π + r 2 π/√3, r 1, r 2 ∊ ℚ(√3)

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Authors and Affiliations

  1. Bryansk State Technical University, Bryansk, Russia

    E. B. Tomashevskaya

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  1. E. B. Tomashevskaya
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Correspondence to E. B. Tomashevskaya.

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Original Russian Text © E. B. Tomashevskaya, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 6, pp. 912–922.

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Tomashevskaya, E.B. Diophantine approximations of the number π by numbers from the field ℚ(√3). Math Notes 83, 833–842 (2008). https://doi.org/10.1134/S0001434608050283

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  • DOI: https://doi.org/10.1134/S0001434608050283

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