Geodesic
Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1
Acta Arithmetica, Tome 89 (1999) no. 4, pp. 301-309.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The well-known estimate of the order of the Hurwitz zeta function      $ζ(s,α) - α^{-s} ≪ t^{c(1-σ)^{3/2}} log^{2/3}t$ 0.    The improvement of the constant c is a consequence of some technical modifications in the method of estimating exponential sums sketched by Heath-Brown ([11], p. 136).
DOI : 10.4064/aa-89-4-301-309

Mieczysław Kulas 1

1 
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Mieczysław Kulas. Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1. Acta Arithmetica, Tome 89 (1999) no. 4, pp. 301-309. doi : 10.4064/aa-89-4-301-309. http://geodesic.mathdoc.fr/articles/10.4064/aa-89-4-301-309/

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