On the convergence of alternating series associated with Beatty sequences

DOI10.1134/S0001434620010344zbMath1476.11098OpenAlexW3009824539MaRDI QIDQ2191971

A. V. Begunts

Publication date: 26 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620010344

zbMATH Keywords

convergencemeasure of irrationalityBeatty sequencenumber series

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Cites Work

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• On the irrationality exponent of the number \(\ln 2\)
• On the measure of irrationality of the number \(\pi \)
• On the irrationality measures of certain numbers. II
• Diophantine Approximations and the Convergence of Certain Series
• ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS
• On rational approximations of the exponential function at rational points
• Irrationality measure of the number $\frac{\pi}{\sqrt{3}}$

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