On linear forms containing the Euler constant

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dc.creatorAptekarev, A. I.
dc.date2009-02-10
dc.date2009-02-28
dc.date.accessioned2026-07-07T12:47:16Z
dc.date.available2026-07-07T12:47:16Z
dc.descriptionWe present linear forms with integer coefficients containing the Euler-Mascheroni and Euler-Gompertz constants. The forms are defined by four-terms recurrence relations. Asymptotics of the forms and their coefficients are obtained.
dc.description6 pages, second version -> some comments are added -> concerning implication of the fact - that one of two Euler-Mascheroni or Euler-Gompertz constants is an irratational number - from the Shidlovski theorem on algebraic independence of values of E-functions. This implication was indicated to the author by Yu. Nesterenko and T. Rivoal
dc.identifierhttps://arxiv.org/abs/0902.1768
dc.identifierhttp://arxiv.org/abs/0902.1768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221665
dc.subjectNumber Theory
dc.subjectClassical Analysis and ODEs
dc.titleOn linear forms containing the Euler constant
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