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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

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Abstract

We obtain an explicit formula for the number of solutions of a special equation in a finite field under a certain restriction on the exponents.

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References

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Correspondence to I. Baoulina.

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Mathematics Subject Classifications (2000)

primary: 11G25, secondary: 11T24.

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Baoulina, I. 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. Acta Appl Math 85, 35–39 (2005). https://doi.org/10.1007/s10440-004-5583-7

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  • DOI: https://doi.org/10.1007/s10440-004-5583-7

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