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Sets Definable Over Finite Fields: Their Zeta-Functions
Quantitative Health Sciences Publications and Presentations
  • Catarina I. Kiefe, University of Massachusetts Medical School
UMMS Affiliation
Department of Quantitative Health Sciences
Document Type
Medical Subject Headings
Mathematical Concepts

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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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
Citation Information
Catarina I. Kiefe. "Sets Definable Over Finite Fields: Their Zeta-Functions" Vol. 223 (1976)
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