论文信息 - Generalized Euler Constants for Arithmetical Progressions

Generalized Euler Constants for Arithmetical Progressions

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 g(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.

Karl Dilcher | K. Dilcher

[1] L. J. Mordell. Review: Z. I. Borevich and I. R. Shafarevich, Number theory , 1965 .

[2] J. Todd,et al. The Stieltjes Constants , 1972 .

[3] D. H. Lehmer. Euler constants for arithmetic progressions , 1975 .

[4] E. Hansen. A Table of Series and Products , 1977 .

[5] T. Apostol. Introduction to analytic number theory , 1976 .

[6] John Knopfmacher. Generalised Euler constants , 1978 .

[7] C. Deninger,et al. On the analogue of the formula of Chowla and Selberg for real quadratic fields. , 1984 .

[8] Carl-Erik Fröberg,et al. The Stieltjes function—definition and properties , 1988 .

[9] On the Power Series Coefficients of the Riemann Zeta Function , 1989 .