Bound conditions on n- polynomials whose coefficients, roots and critical points are integers

In this research we will provide the necessary conditions on the missing coefficients of polynomials of any degree so that roots and critical points are integers. Moreover, we completely determine all cubic polynomials whose coefficients, roots, and critical points are integers. Also the algorithm...

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Bibliographic Details
Main Authors:	Aniruth Phon-On, Areeyuth Sama-Ae
Format:	Article
Language:	English
Published:	Prince of Songkla University 2021-04-01
Series:	Songklanakarin Journal of Science and Technology (SJST)
Subjects:	critical point cubic polynomial bound condition n-polynomial monic polynomial
Online Access:	http://rdo.psu.ac.th/sjstweb/journal/43-2/7.pdf

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record_format	Article
spelling	doaj-67898514af0f42df8bae65c35519e5fc2021-05-30T16:31:19ZengPrince of Songkla UniversitySongklanakarin Journal of Science and Technology (SJST)0125-33952021-04-0143235636310.14456/sjst-psu.2021.47Bound conditions on n- polynomials whose coefficients, roots and critical points are integersAniruth Phon-On0Areeyuth Sama-Ae1Department of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Mueang, Pattani, 94000 ThailandDepartment of Mathematics and Computer Science, Faculty of Science and Technology, Prince of Songkla University, Pattani Campus, Mueang, Pattani, 94000 ThailandIn this research we will provide the necessary conditions on the missing coefficients of polynomials of any degree so that roots and critical points are integers. Moreover, we completely determine all cubic polynomials whose coefficients, roots, and critical points are integers. Also the algorithm and source code to search all possible coefficients are provided.http://rdo.psu.ac.th/sjstweb/journal/43-2/7.pdfcritical pointcubic polynomialbound conditionn-polynomialmonic polynomial
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Aniruth Phon-On Areeyuth Sama-Ae
spellingShingle	Aniruth Phon-On Areeyuth Sama-Ae Bound conditions on n- polynomials whose coefficients, roots and critical points are integers Songklanakarin Journal of Science and Technology (SJST) critical point cubic polynomial bound condition n-polynomial monic polynomial
author_facet	Aniruth Phon-On Areeyuth Sama-Ae
author_sort	Aniruth Phon-On
title	Bound conditions on n- polynomials whose coefficients, roots and critical points are integers
title_short	Bound conditions on n- polynomials whose coefficients, roots and critical points are integers
title_full	Bound conditions on n- polynomials whose coefficients, roots and critical points are integers
title_fullStr	Bound conditions on n- polynomials whose coefficients, roots and critical points are integers
title_full_unstemmed	Bound conditions on n- polynomials whose coefficients, roots and critical points are integers
title_sort	bound conditions on n- polynomials whose coefficients, roots and critical points are integers
publisher	Prince of Songkla University
series	Songklanakarin Journal of Science and Technology (SJST)
issn	0125-3395
publishDate	2021-04-01
description	In this research we will provide the necessary conditions on the missing coefficients of polynomials of any degree so that roots and critical points are integers. Moreover, we completely determine all cubic polynomials whose coefficients, roots, and critical points are integers. Also the algorithm and source code to search all possible coefficients are provided.
topic	critical point cubic polynomial bound condition n-polynomial monic polynomial
url	http://rdo.psu.ac.th/sjstweb/journal/43-2/7.pdf
work_keys_str_mv	AT aniruthphonon boundconditionsonnpolynomialswhosecoefficientsrootsandcriticalpointsareintegers AT areeyuthsamaae boundconditionsonnpolynomialswhosecoefficientsrootsandcriticalpointsareintegers
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Bound conditions on n- polynomials whose coefficients, roots and critical points are integers

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