On the special solutions of an equation in a finite field

Li Hailong and Zhang Wenpeng

International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9

Abstract:

The main purpose of this paper is to prove the following conclusion: let p be a prime large enough and let k be a fixed positive integer with 2 k | p − 1 . Then for any finite field F p and any element 0 ≠ c ∈ F p , there exist three generators x , y , and z ∈ F p such that x k y k + y k z k + x k z k = c .

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:265281

DOI: 10.1155/S0161171203206256

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