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Bound conditions on n- polynomials whose coefficients,roots and critical points are integers |
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รหัสดีโอไอ | |
Creator | 1. Aniruth Phon-On 2. Areeyuth Sama-Ae |
Title | Bound conditions on n- polynomials whose coefficients,roots and critical points are integers |
Publisher | Research and Development Office, Prince of Songkla University |
Publication Year | 2564 |
Journal Title | Songklanakarin Journal of Science and Technology (SJST) |
Journal Vol. | 43 |
Journal No. | 2 |
Page no. | 356-363 |
Keyword | critical point, cubic polynomial, bound condition, n-polynomial, monic polynomia |
URL Website | https://rdo.psu.ac.th/sjstweb/index.php |
ISSN | 0125-3395 |
Abstract | In this research we will provide the necessary conditions on the missing coefficients of polynomials of any degree sothat 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. |