Equations over Finite Fields An Elementary Approach

Wolfgang M. Schmidt (auth.)9780387078557, 0-387-07855-X

Table of contents :
Introduction….Pages 1-2
Equations y d =f(x) and y q −y=f(x)….Pages 3-37
Character sums and exponential sums….Pages 38-91
Absolutely irreducible equations f(x,y)=0….Pages 92-133
Equations in many variables….Pages 134-176
Absolutely irreducible equations f(x 1 ,…,x n )=0….Pages 177-215
Rudiments of algebraic geometry. The number of points in varieties over finite fields….Pages 216-264