Sets definable over finite fields: their zeta-functions

Kiefe, Catarina

doi:10.1090/S0002-9947-1976-0422281-1

Sets definable over finite fields: their zeta-functions
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by Catarina Kiefe

Trans. Amer. Math. Soc. 223 (1976), 45-59

DOI: https://doi.org/10.1090/S0002-9947-1976-0422281-1

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Abstract:

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.

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