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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_aa_89_4_301_309,
     author = {Mieczys{\l}aw Kulas},
     title = {Refinement of an estimate for the {Hurwitz} zeta function in a neighbourhood of the line \ensuremath{\sigma} = 1},
     journal = {Acta Arithmetica},
     pages = {301--309},
     year = {1999},
     volume = {89},
     number = {4},
     doi = {10.4064/aa-89-4-301-309},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/aa-89-4-301-309/}
}
TY  - JOUR
AU  - Mieczysław Kulas
TI  - Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1
JO  - Acta Arithmetica
PY  - 1999
SP  - 301
EP  - 309
VL  - 89
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa-89-4-301-309/
DO  - 10.4064/aa-89-4-301-309
LA  - en
ID  - 10_4064_aa_89_4_301_309
ER  - 
%0 Journal Article
%A Mieczysław Kulas
%T Refinement of an estimate for the Hurwitz zeta function in a neighbourhood of the line σ = 1
%J Acta Arithmetica
%D 1999
%P 301-309
%V 89
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4064/aa-89-4-301-309/
%R 10.4064/aa-89-4-301-309
%G en
%F 10_4064_aa_89_4_301_309
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

Cité par Sources :