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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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences 2015, Vol.2015 (2015), p.91-95
Main Author: Hakami, Ali H.
Format: Article
Language:English
Subjects:
Analysis
Cartesian
Integers
Lower bounds
Mathematical analysis
Polynomials
Reproduction
Rings (Algebra)
Rings (mathematics)
Citations: Items that this one cites
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Summary: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.
ISSN:0161-1712
1687-0425
DOI:10.1155/2015/305730