- Abstract:
- We present a polynomial-time algorithm for computing the zeta function of a smooth projective hypersurface of degree d over a finite field of characteristic p, under the assumption that p is a suitably small odd prime and does not divide d. This improves significantly upon an earlier algorithm of the author and Wan which is only polynomial-time when the dimension is fixed.
- Publication status:
- Published
- Publisher copy:
- 10.1007/s10208-003-0093-y
-
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- Journal:
- Foundations of Computational Mathematics
- Volume:
- 4
- Issue:
- 3
- Pages:
- 221-267
- Publication date:
- 2004-08-01
- DOI:
- EISSN:
-
1615-3383
- ISSN:
-
1615-3375
- URN:
-
uuid:d9ebcd3e-d700-49ad-86ca-e4a1a1bdaf1d
- Source identifiers:
-
29864
- Local pid:
- pubs:29864
- Copyright date:
- 2004
Journal article
Counting solutions to equations in many variables over finite fields
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