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On the Number of Solutions of Some General Types of Equations in a Finite Field

Published online by Cambridge University Press:  20 November 2018

Olin B. Faircloth
Olin B. Faircloth*
Affiliation:
The University of Texas
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The conditional equation f(x1, … , xs) = 0, where f is a polynomial in the x´s with coefficients in a finite field F(pn), is connected with many well-known developments in number theory and algebra, such as: Waring's problem, the arithmetical theory of quadratic forms, the Riemann hypothesis for function fields, Fermat's Last Theorem, cyclotomy, and the theory of congruences in commutative rings.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 4 , 1952 , pp. 343 - 351
Copyright
Copyright © Canadian Mathematical Society 1952

References

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