On the Number of Solutions of the Equation $a_{1}x_{1}^{m_{1}}+\cdots +a_{n}x_{n}^{m_{n}}=bx_{1}\cdots x_{n}$ in a Finite Field
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10440-004-5583-7.pdf
Reference4 articles.
1. Baoulina, I.: On the problem of explicit evaluation of the number of solutions of the equation $a_{1}x_{1}^{2}+\cdots+a_{n}x_{n}^{2}=bx_{1}\cdots x_{n}$ in a finite field, In: S. D. Adhikari, S. A. Katre and B. Ramakrishnan (eds), Current Trends in Number Theory, Hindustan Book Agency, New Delhi, 2002, pp. 27?37.
2. Carlitz, L.: Certain special equations in a finite field, Monatsh. Math. 58(1) (1954), 5?12.
3. Sun Qi and Wan Daqing: On the solvability of the equation ?i=1nxi/di?0 (mod 1) and its application, Proc. Amer. Math. Soc. 100(2) (1987), 220?224.
4. Sun Qi and Yuan Ping-Zhi: On the number of solutions of diagonal equations over a finite field, Finite Fields and Their Applications 2 (1996), 35?41.
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