Computing zeta functions via p-adic cohomology

Mathematics – Number Theory

Scientific paper

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18 pages; to appear in the Proceedings of ANTS-VI (Algorithmic Number Theory Symposium, 2004)

Scientific paper

We survey some recent applications of p-adic cohomology to machine
computation of zeta functions of algebraic varieties over finite fields of
small characteristic, and suggest some new avenues for further exploration.

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