Primitive roots and quadratic non-residues

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F11%3AA13016MS" target="_blank" >RIV/61988987:17310/11:A13016MS - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Primitive roots and quadratic non-residues

Original language description

It was shown by C. Hooley that Artin?s conjecture on primitive roots is a consequence of Riemann Hypothesis for Dedekind zeta-functions for Kummer extensions, and later K. R. Matthews generalized this, obtaining a formula for the density of the set of primes for which ?nitely many given integers are primitive roots. In this paper the same kind of Riemann Hypothesis is used to deduce a formula for the density of the set of primes p for which the given odd integers b1, b2, . . . , bm are quadratic residues, and given odd integers {a1, a2, . . . , an} (with ai not= bj ) are primitive roots.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2011

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ACTA ARITHMETICA

ISSN

0065-1036

e-ISSN

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Volume of the periodical

149

Issue of the periodical within the volume

2

Country of publishing house

PL - POLAND

Number of pages

10

Pages from-to

161-170

UT code for WoS article

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EID of the result in the Scopus database

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