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• W1977488924 abstract "This article is all about two theorems on equations over finite fields which have been proved in the past decade. First, the finiteness of the rigid cohomology of a variety over a finite field. Second, the p-adic meromorphy of the unit root zeta function of a family of varieties over a finite field of characteristic p. The purpose of the article is to explain what these theorems mean, and also to give an outline of the proof of the first one. The intended audience is mathematicians with an interest in finite field, but no especial expertise on the vast literature which surrounds the topic of equations over finite filelds." @default.
• W1977488924 created "2016-06-24" @default.
• W1977488924 creator A5080738928 @default.
• W1977488924 date "2005-08-01" @default.
• W1977488924 modified "2023-09-27" @default.
• W1977488924 title "Rationality and meromorphy of zeta functions" @default.
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• W1977488924 doi "https://doi.org/10.1016/j.ffa.2005.03.004" @default.
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