Generalized Euler constants for arithmetical progressions

Dilcher, Karl

doi:10.1090/S0025-5718-1992-1134726-5

Generalized Euler constants for arithmetical progressions
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Math. Comp. 59 (1992), 259-282 Request permission

Abstract:

The work of Lehmer and Briggs on Euler constants in arithmetical progressions is extended to the generalized Euler constants that arise in the Laurent expansion of $\zeta (s)$ about $s = 1$. The results are applied to the summation of several classes of slowly converging series. A table of the constants is provided.

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