Equations over Finite Fields An Elementary Approach

Abstract

Equations yd=f(x) and yq?y=f(x).- Character sums and exponential sums.- Absolutely irreducible equations f(x,y)=0.- Equations in many variables.- Absolutely irreducible equations f(x1,...,xn)=0.- Rudiments of algebraic geometry. The number of points in varieties over finite fields.