Sets Definable Over Finite Fields: Their Zeta-Functions
Sets definable over finite fields are introduced. The rationality of the logarithmic derivative of their zeta-function is established, an application of purely algebraic content is given. The ingredients used are a result of Dwork on algebraic varieties over finite fields and model-theoretic tools.
Catarina I. Kiefe. "Sets Definable Over Finite Fields: Their Zeta-Functions" Transactions of the American Mathematical Society 223 (1976).
Available at: http://works.bepress.com/catarina_kiefe/9