An absolute Siegel's Lemma.
Anwendung einer zahlengeometrischen Methode von C.L. Siegel auf Probleme der Analysis.
Asymptotic estimates for rational points of bounded height on flag varieties
Decomposing rational numbers
Heights of algebraic points on subvarieties of abelian varieties
Integer Points on Curves and Surfaces.
Integer Points on Hypersurfaces.
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.
Note on a decomposition of integer vectors. II
On computations with integer division
On consecutive Farey arcs
On lattice bases with special properties
In this paper we introduce multiplicative lattices in and determine finite unions of suitable simplices as fundamental domains for sublattices of finite index. For this we define cyclic non-negative bases in arbitrary lattices. These bases are then used to calculate Shintani cones in totally real algebraic number fields. We mainly concentrate our considerations to lattices in two and three dimensions corresponding to cubic and quartic fields.
On the decomposition of vectors over number fields.
On the magnitudes of some small cyclotomic integers
We prove the last of five outstanding conjectures made by R. M. Robinson from 1965 concerning small cyclotomic integers. In particular, given any cyclotomic integer β all of whose conjugates have absolute value at most 5, we prove that the largest such conjugate has absolute value of one of four explicit types given by two infinite classes and two exceptional cases. We also extend this result by showing that with the addition of one form, the conjecture is true for β with magnitudes up to 5 + 1/25....
Propositions arithmétiques tirées de la théorie de la fonction exponentielle. (Extrait d'une Lettre adressée à M. Hermite)
Siegel measures.
Some inequalities for the sum of two sets of lattice points
Sur les ensembles linéaires
The Distribution of Sublattices of ...m.
The Limit Shape of Convex Lattice Polygons.