Positive definite integral quadratic lattices(or the associated quadratic forms) have been investigated from various points of views, one of which is a system of generators with some specified lengths. In this paper we will find all lattices over real quadratic integers) which are generated by some vectors the norms of lengths of which are 2 or 3
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
We present an adaptation of Voronoi theory for imaginary quadratic number fields of class number gre...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
Positive definite integral quadratic lattices(or the associated quadratic forms) have been investiga...
We construct lattices with quadratic structure over the integers in quadratic number fields having t...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
Abstract. A systematic search for optimal lattice rules of specified trigonometric degree d over the...
In this paper, the first of a series dealing with low-dimensional lattices and their applications, w...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
We present an adaptation of Voronoi theory for imaginary quadratic number fields of class number gre...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
Positive definite integral quadratic lattices(or the associated quadratic forms) have been investiga...
We construct lattices with quadratic structure over the integers in quadratic number fields having t...
AbstractLet Λ-be a Euclidean lattice. We study upper bounds for the norm of shortest representatives...
AbstractLet (F, p) be a quadratic ramified extension of the field Q2 of 2-adic numbers, with D its r...
AbstractLet k be an algebraic function field of one variable X having a finite field GF(q) of consta...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
In this work we present constructions of algebraic lattices in Euclidean space with optimal center d...
Abstract. A systematic search for optimal lattice rules of specified trigonometric degree d over the...
In this paper, the first of a series dealing with low-dimensional lattices and their applications, w...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
We present an adaptation of Voronoi theory for imaginary quadratic number fields of class number gre...
International audienceThe Niemeier lattices are the 23 unimodular even lattices of norm 2 in dimensi...