Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings
Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn]. In this paper, we are interested in giving lower bounds on the number of solutions of the quadratic polynomial f over the ring...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/305730 |
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| _version_ | 1832567279391342592 |
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| author | Ali H. Hakami |
| author_facet | Ali H. Hakami |
| author_sort | Ali H. Hakami |
| collection | DOAJ |
| description | Let m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn]. In this paper, we are interested in giving lower bounds on the number of solutions of the quadratic polynomial f over the ring Rmn. |
| format | Article |
| id | doaj-art-fe48928cfd384bd88d5c6c452fff5cc7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-fe48928cfd384bd88d5c6c452fff5cc72025-02-03T01:02:05ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/305730305730Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite RingsAli H. Hakami0Department of Mathematics, Faculty of Science, Jazan University, P.O. Box 277, Jazan 45142, Saudi ArabiaLet m be a positive integer and let Rm denote the ring Z/(m), and let Rmn denote the Cartesian product of n copies of Z/m. Let f(x) be a quadratic polynomial in Z[x1,…,xn]. In this paper, we are interested in giving lower bounds on the number of solutions of the quadratic polynomial f over the ring Rmn.http://dx.doi.org/10.1155/2015/305730 |
| spellingShingle | Ali H. Hakami Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings International Journal of Mathematics and Mathematical Sciences |
| title | Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings |
| title_full | Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings |
| title_fullStr | Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings |
| title_full_unstemmed | Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings |
| title_short | Lower Bounds on Solutions of Quadratic Polynomials Defined over Finite Rings |
| title_sort | lower bounds on solutions of quadratic polynomials defined over finite rings |
| url | http://dx.doi.org/10.1155/2015/305730 |
| work_keys_str_mv | AT alihhakami lowerboundsonsolutionsofquadraticpolynomialsdefinedoverfiniterings |