On generalized Euler constants
Articles
Eugenijus Stankus
Vilniaus University
Published 2002-12-20
https://doi.org/10.15388/LMR.2002.32833
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How to Cite

Stankus, E. (2002) “On generalized Euler constants”, Lietuvos matematikos rinkinys, 42(spec.), pp. 93–95. doi:10.15388/LMR.2002.32833.

Abstract

The generalized Euler constants are defined by formulas

γ(r, k) = limx → ∞ {∑0 < n ≤  x; n ≡  r(mod k)n - ⅟k log x}.

The explicit formula for γ(r, k) is obtained applying the method of contour integration.

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