About: New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum

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Attributs	Valeurs
type	work Article
Is Part Of	http://hub.abes.fr/oup/periodical/qmathj/2000/volume_51/issue_2/w
Subject	Article
Title	New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum
has manifestation of work	http://hub.abes.fr/oup/periodical/qmathj/2000/volume_51/issue_2/101093qjmath512221/m/web http://hub.abes.fr/oup/periodical/qmathj/2000/volume_51/issue_2/101093qjmath512221/m/print
related by	http://hub.abes.fr/oup/periodical/qmathj/2000/volume_51/issue_2/101093qjmath512221/authorship/1 http://hub.abes.fr/oup/periodical/qmathj/2000/volume_51/issue_2/101093qjmath512221/authorship/2
Author	Heath-Brown DR Konyagin S
Abstract	We show that p/Σ/n=1 exp (2π iank/p) << min (k5/8p5,8, k3/8p3/4 and p/Σ/n=1 exp (2π ianp/p2) << p7/8 when p Xa. The proof uses a modification of Stepanov's method.
article type	research-article
is part of this journal	The Quarterly Journal of Mathematics

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