A lower bound for rational approximations to \(\pi\)

DOI10.1006/jnth.1993.1006zbMath0776.11034OpenAlexW1982150353MaRDI QIDQ1208171

Masayoshi Hata

Publication date: 16 May 1993

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jnth.1993.1006

zbMATH Keywords

Padé approximationsmeasure of irrationality

Mathematics Subject Classification ID

Padé approximation (41A21) Measures of irrationality and of transcendence (11J82)

Related Items (5)

Improvement in the irrationality measures of \(\pi\) and \(\pi^ 2\) ⋮ The empirical quest for \(\pi \) ⋮ The irrationality measure of \(\pi\) is at most 7.103205334137\dots ⋮ On the measure of irrationality of the number \(\pi \) ⋮ Hermite-Padé approximants to exponential functions and an inequality of Mahler

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