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On the Number of Solutions of Diagonal Equations over a Finite Field

โœ Scribed by Qi Sun; Ping-Zhi Yuan

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
181 KB
Volume
2
Category
Article
ISSN
1071-5797

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โœฆ Synopsis

In this paper, we give a reduction theorem for the number of solutions of any diagonal equation over a finite field. Using this reduction theorem and the theory of quadratic equations over a finite field, we also get an explicit formula for the number of solutions of a diagonal equation over a finite field, under a certain natural restriction on the exponents.

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