On the measure of irrationality of the number \(\pi \)

DOI10.1134/S0001434610090294zbMath1257.11072OpenAlexW1968531545MaRDI QIDQ650318

V. Kh. Salikhov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610090294

zbMATH Keywords

measure of irrationalitylinear formLeibniz formulaapproximation by rational fractionspartial-fraction expansion

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Related Items (7)

Unnamed Item ⋮ On the convergence of alternating series associated with Beatty sequences ⋮ Симметризованные многочлены в задаче оценки меры иррациональности числа ln31 ⋮ Mahler and transcendence: effective constructions in transcendental number theory ⋮ Симметризованные многочлены в задаче оценки меры иррациональности числа ln31 ⋮ Liouville numbers and the computational complexity of changing bases ⋮ Symmetrized version of the Markovecchio integral in the theory of Diophantine approximations

Cites Work

• A lower bound for rational approximations to \(\pi\)
• Legendre type polynomials and irrationality measures.
• On the irrationality measure of $ \pi$
• Rational approximations to π and some other numbers
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• Unnamed Item

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