AbstractThe exact order of the remainder term is determined in the formula for the number of lattice points in the region α1∥u1 + b1∥ + α2∥u2 + b2∥ + … + αr∥ur + br∥ ≤ x in dependence on the arithmetical properties of the coefficients α1, α2,…, αr
AbstractProof of a general inequality connecting point sets with lattices in a space of Laurent seri...
AbstractIt is proved that for any integern≥0, there is a circle in the plane that passes through exa...
AbstractLet A be a smooth curve in a Euclidean space E given by an arc length parametrization f: [0,...
AbstractThe exact order of the remainder term is determined in the formula for the number of lattice...
AbstractThe paper determines the exact order of the lattice remainder term for an integral ellipsoid...
The number of lattice points , as a function of the real variable is studied, where belongs to a spe...
Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindrom...
AbstractThis paper explores a simple yet powerful relationship between the problem of counting latti...
AbstractThe generating function F(P)=∑α∈P∩ZNxα for a rational polytope P carries all essential infor...
We study the number of integer points (”lattice points”) in rational polytopes. We use an associated...
AbstractWe present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polyto...
Bentkus V, Götze F. Lattice point problems and distribution of values of quadratic forms. ANNALS OF ...
We generalize Ehrhart's idea ([Eh]) of counting lattice points in dilated rational polytopes: G...
AbstractWe study the number of lattice points in integer dilates of the rational polytope P={(x1,…,x...
For d-dimensional irrational ellipsoids E with d ¡Ý 9 we show that the number of lattice points in r...
AbstractProof of a general inequality connecting point sets with lattices in a space of Laurent seri...
AbstractIt is proved that for any integern≥0, there is a circle in the plane that passes through exa...
AbstractLet A be a smooth curve in a Euclidean space E given by an arc length parametrization f: [0,...
AbstractThe exact order of the remainder term is determined in the formula for the number of lattice...
AbstractThe paper determines the exact order of the lattice remainder term for an integral ellipsoid...
The number of lattice points , as a function of the real variable is studied, where belongs to a spe...
Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindrom...
AbstractThis paper explores a simple yet powerful relationship between the problem of counting latti...
AbstractThe generating function F(P)=∑α∈P∩ZNxα for a rational polytope P carries all essential infor...
We study the number of integer points (”lattice points”) in rational polytopes. We use an associated...
AbstractWe present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polyto...
Bentkus V, Götze F. Lattice point problems and distribution of values of quadratic forms. ANNALS OF ...
We generalize Ehrhart's idea ([Eh]) of counting lattice points in dilated rational polytopes: G...
AbstractWe study the number of lattice points in integer dilates of the rational polytope P={(x1,…,x...
For d-dimensional irrational ellipsoids E with d ¡Ý 9 we show that the number of lattice points in r...
AbstractProof of a general inequality connecting point sets with lattices in a space of Laurent seri...
AbstractIt is proved that for any integern≥0, there is a circle in the plane that passes through exa...
AbstractLet A be a smooth curve in a Euclidean space E given by an arc length parametrization f: [0,...
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