- Abstract:
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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 in...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher version
- Files:
-
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(pdf, 280.5kb)
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- Publisher copy:
- 10.1016/j.ffa.2005.03.004
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- Publisher:
- Elsevier B.V. Publisher's website
- Journal:
- Finite Fields and their Applications Journal website
- Volume:
- 11
- Issue:
- 3
- Pages:
- 491-510
- Publication date:
- 2005-08-05
- DOI:
- ISSN:
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1071-5797
- URN:
-
uuid:6d89f610-ac29-458b-8eea-511ede4f5f0d
- Source identifiers:
-
147883
- Local pid:
- pubs:147883
- Language:
- English
- Keywords:
- Subjects:
- Copyright holder:
- Elsevier B.V.
- Copyright date:
- 2005
- Notes:
- Copyright 2005 Elsevier Inc. All rights reserved. Re-use of this article is permitted in accordance with the Terms and Conditions set out at http://www.elsevier.com/open-access/userlicense/1.0/
Journal article
Rationality and meromorphy of zeta functions
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