Add to ORKGAbstract. We count algebraic numbers of fixed degree over a fixed algebraic number field. When the heights of the algebraic numbers are bounded above by a large parameter H, we obtain asymptotic estimates for their cardinality as H →∞. 1
An important problem in analytic and geometric combinatorics is estimating the number of lattice poi...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of degree d. This article is...
Let k be a number field. For H→∞ , we give an asymptotic formula for the number of algebraic integer...
Let k be a number field. For H→∞, we give an asymptotic formula for the number of algebraic integers...
Let k be a number field and S a finite set of places of k containing the archimedean ones. We count ...
AbstractWe count points of fixed degree and bounded height on a linear projective variety defined ov...
We count points of fixed degree and bounded height on a linear projective variety defined over a num...
AbstractLet K be an algebraic number field of degree d and let U denote its group of units. Suppose ...
In this article we count algebraic points of bounded Weil height with integral coor-dinates, generat...
RésuméFor a real algebraic number θ of degree D, it follows from results of W. M. Schmidt and E. Wir...
Weil height h of an algebraic number z measures its arithmetic complexity , and h(z) is always non...
AbstractIf α1, α2, α3 are algebraic numbers satisfying (i) the height of α1, α2, α3 do not exceed H ...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
7 pages, submitted to C.R. Acad. Sci. ParisWe study the set of algebraic numbers of bounded height a...
An important problem in analytic and geometric combinatorics is estimating the number of lattice poi...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of degree d. This article is...
Let k be a number field. For H→∞ , we give an asymptotic formula for the number of algebraic integer...
Let k be a number field. For H→∞, we give an asymptotic formula for the number of algebraic integers...
Let k be a number field and S a finite set of places of k containing the archimedean ones. We count ...
AbstractWe count points of fixed degree and bounded height on a linear projective variety defined ov...
We count points of fixed degree and bounded height on a linear projective variety defined over a num...
AbstractLet K be an algebraic number field of degree d and let U denote its group of units. Suppose ...
In this article we count algebraic points of bounded Weil height with integral coor-dinates, generat...
RésuméFor a real algebraic number θ of degree D, it follows from results of W. M. Schmidt and E. Wir...
Weil height h of an algebraic number z measures its arithmetic complexity , and h(z) is always non...
AbstractIf α1, α2, α3 are algebraic numbers satisfying (i) the height of α1, α2, α3 do not exceed H ...
AbstractWe Count the number of solutions with height less than or equal to B to a system of linear e...
7 pages, submitted to C.R. Acad. Sci. ParisWe study the set of algebraic numbers of bounded height a...
An important problem in analytic and geometric combinatorics is estimating the number of lattice poi...
Let K be a number field, Q, or the field of rational functions on a smooth projective curve over a p...
For any N ≥ 2, let Z ⊂ ℙN be a geometrically integral algebraic variety of degree d. This article is...