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- W2595921428 abstract "Let $X$ be an absolutely irreducible hypersurface of degree $d$ in $mathbb{A}^n$, defined over a finite field $mathbb{F}_q$. The Lang-Weil bound gives an interval that contains $#X(mathbb{F}_q)$. We exhibit explicit intervals, which do not contain $#X(mathbb{F}_q)$, and which overlap with the Lang-Weil interval. In particular, we sharpen the best known lower and upper bounds for $#X(mathbb{F}_q)$. The proof uses a combinatorial probabilistic technique." @default.
- W2595921428 created "2017-03-23" @default.
- W2595921428 creator A5059924937 @default.
- W2595921428 date "2017-03-15" @default.
- W2595921428 modified "2023-09-27" @default.
- W2595921428 title "An application of random plane slicing to counting $mathbb{F}_q$-points on hypersurfaces" @default.
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