Quadratic Forms Which Have Only Large Zeros.
Quaternary quadratic forms and an associated lattice constant
Radiography of perfect lattices. (Radiographie des réseaux parfaits.)
Rank forms, closed zones and laminae
For a given lattice, we establish an equivalence between closed zones for the corresponding Voronoï polytope, suitable hyperplane sections of the corresponding Delaunay partition, and rank quadratic forms which are extreme rays for the corresponding -type domain.
Reduction Theory for Fuchsian Groups.
Relations de dépendance linéaire entre des logarithmes de nombres algébriques
Remarque à l'article precedent de M. Mahler
Remarques sur quelques propositions dues à M. Hermite
Sausages are Good Packings.
Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines
Étant donnés un système de racines d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de .
S-extremal strongly modular lattices
S-extremal strongly modular lattices maximize the minimum of the lattice and its shadow simultaneously. They are a direct generalization of the s-extremal unimodular lattices defined in [6]. If the minimum of the lattice is even, then the dimension of an s-extremal lattices can be bounded by the theory of modular forms. This shows that such lattices are also extremal and that there are only finitely many s-extremal strongly modular lattices of even minimum.
Siegel measures.
Simultaneously good bases of a lattice and its reciprocal lattice.
Small Linearly Independent Zeros of Quadratic Forms.
Some inequalities for the sum of two sets of lattice points
Spherical Complexes and Nonprojective Tone Varieties.
Spinor genera under field extensions, I
Stability of Arakelov bundles and tensor products without global sections.
Staircases in .
Statistics of lattice points in thin annuli for generic lattices.