Motivated by a recent question of Peyre, we apply the Hardy–Littlewood circle method to count “sufficiently free” rational points of bounded height on arbitrary smooth projective hypersurfaces of low degree that are defined over the rationals
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We give upper bounds for the number of rational points of bounded height on the complement of the li...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
For any n ≧ 2, let F ε ℤ[x1, . . . , xn] be a form of degree d ≧ 2, which produces a geometrically i...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
International audienceAn asymptotic formula is obtained for the number of rational points of bounded...
International audienceAn asymptotic formula is obtained for the number of rational points of bounded...
Asymptotic formulae for the number of rational points of bounded height on flag varieties have earli...
Abstract. For a general hypersurface of degree d in projective n-space, if n ≥ d2 the spaces of 2-po...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We give upper bounds for the number of rational points of bounded height on the complement of the li...
For any $n \geq 2$, let $F \in \mathbb{Z}[x_1,\ldots,x_n]$ be a form of degree $d\geq 2$, which prod...
For any n ≧ 2, let F ε ℤ[x1, . . . , xn] be a form of degree d ≧ 2, which produces a geometrically i...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
International audienceAn asymptotic formula is obtained for the number of rational points of bounded...
International audienceAn asymptotic formula is obtained for the number of rational points of bounded...
Asymptotic formulae for the number of rational points of bounded height on flag varieties have earli...
Abstract. For a general hypersurface of degree d in projective n-space, if n ≥ d2 the spaces of 2-po...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
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