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On linear forms containing the Euler constant
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We 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.
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Cited by 2 Pith papers
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Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants
Proves algebraic independence of the η^(n) sequence and that γ^(n) and δ^(n) are transcendental infinitely often, using Shidlovskii's theorem on Gumbel-derived generalized Euler constants.
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On Conservative Matrix Fields: Continuous Asymptotics and Arithmetic
Conservative Matrix Fields generalize Apéry-type ratios of D-finite sequences to several dimensions and conjecturally have direction-continuous convergence and irrationality measures.
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