On the roots of the substitution Dickson polynomials
We show that under the composition of multivalued functions, the set of the y-radical roots of the Dickson substitution polynomial gd(x,a)−gd(y,a) is generated by one of the roots. Hence, we show an expected generalization of the fact that, under the composition of the functions, the y-radical roots...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007561 |
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| _version_ | 1832549122202140672 |
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| author | Javier Gomez-Calderon |
| author_facet | Javier Gomez-Calderon |
| author_sort | Javier Gomez-Calderon |
| collection | DOAJ |
| description | We show that under the composition of multivalued functions, the
set of the y-radical roots of the Dickson substitution
polynomial gd(x,a)−gd(y,a) is generated by one of the roots. Hence, we show an expected generalization of the fact that, under the composition of the functions, the y-radical
roots of xd−yd are generated by ζdy. |
| format | Article |
| id | doaj-art-bbc4a2469db847beaa539bef3eafcfb4 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-bbc4a2469db847beaa539bef3eafcfb42025-02-03T06:12:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0129634935310.1155/S0161171202007561On the roots of the substitution Dickson polynomialsJavier Gomez-Calderon0Department of Mathematics, The Pennsylvania State University, New Kensington Campus, New Kensington 15068, PA, USAWe show that under the composition of multivalued functions, the set of the y-radical roots of the Dickson substitution polynomial gd(x,a)−gd(y,a) is generated by one of the roots. Hence, we show an expected generalization of the fact that, under the composition of the functions, the y-radical roots of xd−yd are generated by ζdy.http://dx.doi.org/10.1155/S0161171202007561 |
| spellingShingle | Javier Gomez-Calderon On the roots of the substitution Dickson polynomials International Journal of Mathematics and Mathematical Sciences |
| title | On the roots of the substitution Dickson polynomials |
| title_full | On the roots of the substitution Dickson polynomials |
| title_fullStr | On the roots of the substitution Dickson polynomials |
| title_full_unstemmed | On the roots of the substitution Dickson polynomials |
| title_short | On the roots of the substitution Dickson polynomials |
| title_sort | on the roots of the substitution dickson polynomials |
| url | http://dx.doi.org/10.1155/S0161171202007561 |
| work_keys_str_mv | AT javiergomezcalderon ontherootsofthesubstitutiondicksonpolynomials |