A hypergeometric approach, via linear forms involving logarithms, to criteria for irrationality of Euler’s constant

DOI10.2478/s12175-009-0127-2zbMath1203.11053OpenAlexW1968860605MaRDI QIDQ3632782

Jonathan Sondow

Publication date: 12 June 2009

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-009-0127-2

zbMATH Keywords

linear forms in logarithmsirrationalityEuler's constanthypergeometric

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Linear forms in logarithms; Baker's method (11J86) Irrationality; linear independence over a field (11J72)

Related Items (1)

Euler’s constant: Euler’s work and modern developments

Cites Work

• How can we escape Thomae's relations?
• Euler's constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper
• Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent
• A few remarks on \(\zeta (3)\)
• Criteria for irrationality of generalized Euler's constant

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