Criteria for irrationality of generalized Euler's constant

DOI10.1016/j.jnt.2004.05.005zbMath1155.11334OpenAlexW1971524121MaRDI QIDQ1881329

Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 4 October 2004

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.05.005

zbMATH Keywords

generalized Euler's constantrationality tests

Mathematics Subject Classification ID

Irrationality; linear independence over a field (11J72) Analytic computations (11Y35)

Related Items (6)

A note on some constants related to the zeta-function and their relationship with the Gregory coefficients ⋮ On conditional irrationality measures for values of the digamma function ⋮ Legendre modified moments for Euler's constant ⋮ Expansions of generalized Euler's constants into the series of polynomials in \(\pi^{- 2}\) and into the formal enveloping series with rational coefficients only ⋮ Arithmetical properties of some series with logarithmic coefficients ⋮ A hypergeometric approach, via linear forms involving logarithms, to criteria for irrationality of Euler’s constant

Cites Work

• Euler's constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper
• Approximate formulas for some functions of prime numbers
• Criteria for irrationality of Euler’s constant
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