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Sets Definable Over Finite Fields: Their Zeta-Functions

Kiefe, Catarina I.
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1976-10-01
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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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Transactions of the American Mathematical Society in Vol. 223 (Oct., 1976), pp. 45-59, published by the American Mathematical Society. Link to article on publisher's website

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First published in Transactions of the American Mathematical Society in Vol. 223 (Oct., 1976), pp. 45-59, published by the American Mathematical Society. Link to article on publisher's website

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