Accumulation Points of the Lagrange and Markov Spectra.
An absolute Siegel's Lemma.
An adelic Minkowski-Hlawka theorem and an application to Siegel's lemma.
An application of Minkowski's theorem in the geometry of numbers
An Asymmetric Inequality for non-homogeneous ternary quadratic forms.
An equivalent of Kronecker's theorem for powers of an algebraic number and structure of linear recurrences of fixed length
An extension of Mahler's theorem to simply connected nilpotent groups
This Note gives an extension of Mahler's theorem on lattices in to simply connected nilpotent groups with a -structure. From this one gets an application to groups of Heisenberg type and a generalization of Hermite's inequality.
An improvement of the quantitative subspace theorem
Another 80-dimensional extremal lattice
We show that the unimodular lattice associated to the rank 20 quaternionic matrix group is a fourth example of an 80-dimensional extremal lattice. Our method is to use the positivity of the -series in conjunction with an enumeration of all the norm 10 vectors. The use of Aschbacher’s theorem on subgroups of finite classical groups (reliant on the classification of finite simple groups) provides one proof that this lattice is distinct from the previous three, while computing the inner product...
Anwendung einer zahlengeometrischen Methode von C.L. Siegel auf Probleme der Analysis.
Approximation d'un nombre p-adique par des nombres algebriques
Approximation simultanée par des produits de puissances de nombres algébriques
Arcs containing no three lattice points
Areas of lattice polygons, applied to computer graphics
Asymptotic estimates for rational points of bounded height on flag varieties
Asymptotic Formula for Distinct Partitions of Lattice Points with Congruence Restrictions.
Asymptotics of variance of the lattice point count
The variance of the number of lattice points inside the dilated bounded set with random position in has asymptotics if the rotational average of the squared modulus of the Fourier transform of the set is . The asymptotics follow from Wiener’s Tauberian theorem.
Cayley orders
Characerization of a class of distance regular graphs.
Characteristic vectors of unimodular lattices which represent two
We improve the known upper bound of the dimension of an indecomposable unimodular lattice whose shadow has the third largest possible length, .