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In the Laurent expansion ζ(s, a) = 1 s − 1 + ∞ k=0 (−1) k γ k (a) k! (s − 1) k , 0 < a ≤ 1, of the Riemann-Hurwitz zeta function, the coefficients γ k (a) are known as Stieltjes, or generalized Euler, constants. [When a = 1, ζ(s, 1) = ζ(s) (the Riemann zeta function), and γ k (1) = γ k .] We present a new approach to high-precision approximation of γ k (a).(More)
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