A note on prime \(k\)-th power nonresidues
type: Item
instance of: scholarly article
title: A note on prime \(k\)-th power nonresidues
zbMATH Open document ID: 0522.10002
DOI: 10.1007/BF01169590
author: Richard H. Hudson
published in: Manuscripta Mathematica
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/154938
review text: The autbhor shows that if \(p\) is a prime and \(n<c\log p/\log\log p\) then the \(n\)th least prime \(k\)th power nonresidue modulo \(p\) is \(O(p^{1/4+\varepsilon}\). \textit{K. K. Norton} has obtained a stronger result (see [Notices Am. Math. Soc. 21 (1974)]).
reviewed by: D. R. B. Burgess
Mathematics Subject Classification ID: 11A15
Mathematics Subject Classification ID: 11L10
zbMATH DE Number: 3825908
zbMATH Keywords: prime k-th power nonresidues
zbMATH Keywords: character sum estimates
MaRDI profile type: Publication
cites work: Über den kleinsten quadratischen Nichtrest
cites work: On Character Sums and Primitive Roots†
cites work: On the Distribution of Quadratic Non-Residues and the Euclidean Algorithm in Real Quadratic Fields. I
cites work: Prime k-th power non-residues
cites work: The second smallest quadratic non-residue
OpenAlex ID: W2030909045
description: scientific article; zbMATH DE number 3825908