“School of Mathematics”
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| Paper IPM / M / 7396 |
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| Abstract: | |||||
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We generalize Sondow's (ir)rationality criteria for Euler's
constant and give necessary and sufficient conditions for
irrationality of generalized Euler's constant γα, as
well as we obtain new asymptotic formulas for computing
γα. The proof is based on constructing linear forms
in 1,γα and logarithms of rational numbers.
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