Primitive root biases for prime pairs I: Existence and non-totality of biases

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F18%3AA1901Y0U" target="_blank" >RIV/61988987:17310/18:A1901Y0U - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.jnt.2017.10.023" target="_blank" >http://dx.doi.org/10.1016/j.jnt.2017.10.023</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jnt.2017.10.023" target="_blank" >10.1016/j.jnt.2017.10.023</a>

Result language

angličtina

Original language name

Primitive root biases for prime pairs I: Existence and non-totality of biases

Original language description

We study the difference between the number of primitive roots modulo p and modulo p+k for prime pairs p, p+k. Assuming the Bateman Horn conjecture, we prove the existence of strong sign biases for such pairs. More importantly, we prove that for a small positive proportion of prime pairs p, p+k, the dominant inequality is reversed. (C) 2017 Elsevier Inc. All rights reserved.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA17-02804S" target="_blank" >GA17-02804S: Properties of number sequences and their applications</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

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

Name of the periodical

J NUMBER THEORY

ISSN

0022-314X

e-ISSN

—

Volume of the periodical

185

Issue of the periodical within the volume

duben

Country of publishing house

US - UNITED STATES

Number of pages

28

Pages from-to

93-120

UT code for WoS article

000419929100006

EID of the result in the Scopus database

2-s2.0-85035022115