Linear independence measure for squares of periods and quasi-periods of elliptic curves

DOI10.1016/j.jnt.2009.01.021zbMath1242.11051OpenAlexW2088803393MaRDI QIDQ1019825

Damien Vergnaud

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.021

zbMATH Keywords

elliptic curvegeneralized hypergeometric functionperiodquasi-periodLinear independence measure

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Measures of irrationality and of transcendence (11J82) Generalized hypergeometric series, ({}_pF_q) (33C20) Irrationality; linear independence over a field (11J72)

Cites Work

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• Padé approximations to the generalized hypergeometric functions. I
• Un exposant de densite en approximation rationnelle
• The irrationality of $\log (1+1/q) \log (1-1/q)$
• HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
• On a permutation group related to ζ(2)
• Ramanujan-type formulae and irrationality measures of some multiples of $ {\pi}$

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