An extension of the mixed integer part of a nonlinear form

Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if [Formula: see text] are positive real numbers, at least one of the ratios [Formula: see text] ([Formula: see text] ) is irrational, then the integer parts of [Formula: see text] are pr...

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Detalles Bibliográficos
Autores principales: Wang, Yunhan, Mu, Jiani
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5517593/
https://www.ncbi.nlm.nih.gov/pubmed/28781496
http://dx.doi.org/10.1186/s13660-017-1440-x
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author Wang, Yunhan
Mu, Jiani
author_facet Wang, Yunhan
Mu, Jiani
author_sort Wang, Yunhan
collection PubMed
description Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if [Formula: see text] are positive real numbers, at least one of the ratios [Formula: see text] ([Formula: see text] ) is irrational, then the integer parts of [Formula: see text] are prime infinitely often for [Formula: see text] , where [Formula: see text] are natural numbers.
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spelling pubmed-55175932017-08-03 An extension of the mixed integer part of a nonlinear form Wang, Yunhan Mu, Jiani J Inequal Appl Research Our aim in this paper is to consider the integer part of a nonlinear form representing primes. We establish that if [Formula: see text] are positive real numbers, at least one of the ratios [Formula: see text] ([Formula: see text] ) is irrational, then the integer parts of [Formula: see text] are prime infinitely often for [Formula: see text] , where [Formula: see text] are natural numbers. Springer International Publishing 2017-07-19 2017 /pmc/articles/PMC5517593/ /pubmed/28781496 http://dx.doi.org/10.1186/s13660-017-1440-x Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Wang, Yunhan
Mu, Jiani
An extension of the mixed integer part of a nonlinear form
title An extension of the mixed integer part of a nonlinear form
title_full An extension of the mixed integer part of a nonlinear form
title_fullStr An extension of the mixed integer part of a nonlinear form
title_full_unstemmed An extension of the mixed integer part of a nonlinear form
title_short An extension of the mixed integer part of a nonlinear form
title_sort extension of the mixed integer part of a nonlinear form
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5517593/
https://www.ncbi.nlm.nih.gov/pubmed/28781496
http://dx.doi.org/10.1186/s13660-017-1440-x
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