Chevalley's theorem, also known as the Chevalley-Waring theorem, states that if is a polynomial in , where is a finite field of field characteristic, and the degree of is less than , then the number of zeros of in is equal to 0 (mod ).
In the special case that is a homogeneous polynomial, the them states that if and is greater than the degree of , then has at least two zeros in .
is a polynomial in 
, where 
is a finite field of field characteristic 
, and the degree of 
is less than 
, then the number of zeros of 
in 
is equal to 0 (mod 
). 
is a homogeneous polynomial, the them states that if 
and 
is greater than the degree of 
, then 
has at least two zeros in 
.