A variety V over a finite field with q elements has a finite number of rational points, as well as points over every finite field with qk elements containing that field. The generating function has coefficients derived from the numbers Nk of points over the (essentially unique) field with qk elements.
A variety V over a finite field with q elements has a finite number of rational points, as well as points over every finite field with qk elements containing that field The generating function has coefficients derived from the numbers Nk of points over the (essentially unique) field with qk elements