Inequalities for Convex Bodies and Polar Reciprocal Lattices in Rn.
Inequalities for lattice constrained planar convex sets.
Inhomogene Minima von Sternkörpern.
Inhomogeneous extreme forms
G.F. Voronoi (1868–1908) wrote two memoirs in which he describes two reduction theories for lattices, well-suited for sphere packing and covering problems. In his first memoir a characterization of locally most economic packings is given, but a corresponding result for coverings has been missing. In this paper we bridge the two classical memoirs.By looking at the covering problem from a different perspective, we discover the missing analogue. Instead of trying to find lattices giving economical...
Inhomogeneous Minimum of Indefinite Quadratic Forms in Five Variables of Type (3, 2) or (2, 3): A Conjecture of Watson.
Integer points close to convex hypersurfaces
Integer points close to convex surfaces
Integer Points on Curves and Surfaces.
Integer Points on Hypersurfaces.
Integral Quadratic Forms, Kac-Moody Algebras, and Fractional Quantum Hall Effect. An ADE- Classification
Intermediate Diophantine exponents and parametric geometry of numbers
Invariant measures for actions of unipotent groups over local fields on homogeneous spaces.
Klein polyhedra and lattices with positive norm minima
A Klein polyhedron is defined as the convex hull of nonzero lattice points inside an orthant of . It generalizes the concept of continued fraction. In this paper facets and edge stars of vertices of a Klein polyhedron are considered as multidimensional analogs of partial quotients and quantitative characteristics of these “partial quotients”, so called determinants, are defined. It is proved that the facets of all the Klein polyhedra generated by a lattice have uniformly bounded determinants...
Kleine Nullstellen quadratischer Formen in Funktionenkörpern.
Konvexe Fundamentalpolyeder und einfache D-V-Zellen für 29 Raumgruppen, die Coxetersche Spiegelungsuntergruppen enthalten
Kovové průměry a úhly v uspořádáních bodů na spirálách
Článek se zaměřuje na bodové spirály odvozené zejména od Fermatovy a Archimédovy spirály. Pojem zlatého úhlu je rozšířen na množinu kovových úhlů jako analogie k množině kovových průměrů zavedených Verou de Spinadel.
La réduction des réseaux. Autour de l'algorithme de Lenstra, Lenstra, Lovász
Lamination et antilamination des réseaux euclidiens
Dans cet article, nous étudions certains invariants liés à la réduction de Hermite-Korkine-Zolotareff des réseaux euclidens (ou des formes quadratiques définies positives).
Lattice Inequalities for Convex Bodies and Arbitrary Lattices.
Lattice Points.