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Generalised Euler constants

  • J. Knopfmacher (a1)
Abstract

Let the Laurent expansion of the Riemann zeta function ξ(s) about s=1 be written in the form

It has been discovered independently by many authors that, in terms of this notation, the coefficient

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(2) B. C. Berndt , On the Hurwitz zeta function. Rocky Mountain J. Math. 2 (1972), 151157.

(3) B. C. Berndt , Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications, J. Number Theory 7 (1975), 413445.

(6) W. E. Briggs & S. Chowla , The power series coefficients of ζ(s), Amer. Math. Monthly 62 (1955), 323325.

(11) E. Landau , Über eine idealtheoretische Funktion. Trans. Amer. Math. Soc. 13 (1912), 121.

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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