For a given form we apply the circle method in order to give an asymptotic estimate of the number of m-tuples spanning a linear space on the hypersurface with the property that . This allows us in some measure to count rational linear spaces on hypersurfaces whose underlying integer lattice is primitive
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to sh...
Let C be a cubic form with integer coefficients in n variables, and let h be the h-invariant of C. L...
Let d and k be integers with 1 0 is an arbitrarily small constant. This nearly settles a problem me...
Upper bounds for the number of variables necessary to imply the existence of an m -dimensional linea...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
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...
In this thesis we present an adaptation of the Hardy-Littlewood Circle Method to give estimates for ...
Let n be a positive multiple of 4. We establish an asymptotic formula for the number of rational poi...
Abstract. Upper bounds for the number of variables necessary to imply the existence of an m-dimensio...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
Using the circle method, we count integer points on complete intersections in biprojective space in ...
AbstractIt is proved that for any integern≥0, there is a circle in the plane that passes through exa...
AbstractA simple proof is given that limn−t8(log2 log2gn)/n = 1, where gn denotes the number of dist...
The subject of the work is geometry of numbers, which uses geometric arguments in n-dimensional eucl...
Let k = F-q(t) be the rational function fi eld over F-q and f(x) is an element of k[x(1),..., x(s)] ...
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to sh...
Let C be a cubic form with integer coefficients in n variables, and let h be the h-invariant of C. L...
Let d and k be integers with 1 0 is an arbitrarily small constant. This nearly settles a problem me...
Upper bounds for the number of variables necessary to imply the existence of an m -dimensional linea...
We study the number of representations of an integer n=F(x) by a homogeneous form in sufficiently ma...
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...
In this thesis we present an adaptation of the Hardy-Littlewood Circle Method to give estimates for ...
Let n be a positive multiple of 4. We establish an asymptotic formula for the number of rational poi...
Abstract. Upper bounds for the number of variables necessary to imply the existence of an m-dimensio...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
Using the circle method, we count integer points on complete intersections in biprojective space in ...
AbstractIt is proved that for any integern≥0, there is a circle in the plane that passes through exa...
AbstractA simple proof is given that limn−t8(log2 log2gn)/n = 1, where gn denotes the number of dist...
The subject of the work is geometry of numbers, which uses geometric arguments in n-dimensional eucl...
Let k = F-q(t) be the rational function fi eld over F-q and f(x) is an element of k[x(1),..., x(s)] ...
A version of the Hardy-Littlewood circle method is developed for number fields K/Q and is used to sh...
Let C be a cubic form with integer coefficients in n variables, and let h be the h-invariant of C. L...
Let d and k be integers with 1 0 is an arbitrarily small constant. This nearly settles a problem me...
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