The density of rational points on non-singular hypersurfaces

Let F(x) =F[x1,...,xn]∈ℤ[x1,...,xn] be a non-singular form of degree d≥2, and let N(F, X)=#{xεℤ n ;F(x)=0, |x|≤X}, where {Mathematical expression}. It was shown by Fujiwara [4] [Upper bounds for the number of lattice points on hypersurfaces, Number theory and combinatorics, Japan, 1984, (World Scien...

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Bibliographic Details
Main Author: Heath-Brown, D
Format: Journal article
Language:English
Published: Springer India 1994