A note on consecutive ones in a binary matrix.
Accumulation Points of the Lagrange and Markov Spectra.
Counting problems and semisimple groups.
Cyclotomic quadratic forms
Voronoï ’s algorithm is a method for obtaining the complete list of perfect -dimensional quadratic forms. Its generalization to -forms has the advantage of running in a lower-dimensional space, and furnishes a finite, and complete, classification of -perfect forms ( is a finite subgroup of . We study the standard, -dimensional irreducible representation of the cyclic group of order , and give the, often new, densest -forms. Perfect cyclotomic forms are completely classified for and for...
Distribution de la constante d'Hermite et du plus court vecteur dans les réseaux de dimension deux
En utilisant la géométrie du demi-plan de Poincaré et des familles de disques classiques - disques de Ford, disques de Farey - nous décrivons les domaines de niveau associés à la constante d'Hermite et au plus court vecteur d'un réseau. Nous en déduisons une évaluation très précise des fonctions de répartition correspondantes, en particulier au voisinage de l'origine.
Generalised Hermite constants, Voronoi theory and heights on flag varieties
This paper explores the study of the general Hermite constant associated with the general linear group and its irreducible representations, as defined by T. Watanabe. To that end, a height, which naturally applies to flag varieties, is built and notions of perfection and eutaxy characterising extremality are introduced. Finally we acquaint some relations (e.g., with Korkine–Zolotareff reduction), upper bounds and computation relative to these constants.
Geometry of numbers in adele spaces [Book]
Imaginary quadratic fields with small odd class number
Inhomogene Minima von Sternkörpern.
Inhomogeneous Minimum of Indefinite Quadratic Forms in Five Variables of Type (3, 2) or (2, 3): A Conjecture of Watson.
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).
Matrix theoretic interpretation of the classical Markoff theory. (L'interprétation matricielle de la théorie de Markoff classique.)
Minimum of quadratic forms with respect to Fuchsian groups. II.
Minimum of quadratic forms with respect to Fuchsian groups. I.
O minimu forem kvadratických
Odd unimodular lattices of minimum 4
On a problem posed by R. Salvati Manni
On a quantitative version of the Oppenheim conjecture.
On an analog of Hermite's constant.
On C-Minimal Forms.