Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1
Mieczysław Kulas
Acta Arithmetica, Tome 89 (1999), p. 301-309 / Harvested from The Polish Digital Mathematics Library
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The well-known estimate of the order of the Hurwitz zeta function      ζ(s,α)-α-s≪tc(1-σ)3/2log2/3t 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).

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:207273 
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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) pp. 301-309. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav89i4p301bwm/

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