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A New Effective Asymptotic Formula for the Stieltjes Constants

Published 21 Jul 2014 in math.NT | (1407.5567v3)

Abstract: We derive a new integral formula for the Stieltjes constants. The new formula permits easy computations as well as an exact approximate asymptotic formula. Both the sign oscillations and the leading order of growth are provided. The formula can also be easily extended to generalized Euler constants.

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