zbMath0691.10021MaRDI QIDQ3995481
Carl Ludwig Siegel
Publication date: 17 September 1992
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Application of an idea of Voronoĭ to lattice packing, supplement,
Lattice reduction with approximate enumeration oracles. Practical algorithms and concrete performance,
Distribution of Hermite's constant and the shortest vector in lattices of dimension two,
Singular symmetric matrices,
Diophantine approximation of matrices,
Counting invertible matrices and uniform distribution,
On the convergence of arithmetic orbifolds,
Relations of linear dependence between the logarithms of algebraic numbers,
On some computational problems in local fields,
Infinite descent on elliptic curves,
Growth of Sobolev norms for abstract linear Schrödinger equations,
A Minkowski theorem for quasicrystals,
Definite orthogonal modular forms: computations, excursions, and discoveries,
Values of inhomogeneous forms at S ‐integral points,
Shrinking target horospherical equidistribution via translated Farey sequences,
Lower bounds for discriminants of polynomials,
The distribution of free path lengths in the periodic Lorentz gas and related lattice point problems,
Gaussian Gabor frames, Seshadri constants and generalized Buser-Sarnak invariants,
A bound on the primes of bad reduction for CM curves of genus 3,
Effective equidistribution for multiplicative Diophantine approximation on lines,
Enumerating number fields,
Arithmetically equivalent number fields have approximately the same successive minima,
The Minkowski chain and Diophantine approximation,
Covering lattice points by subspaces and counting point-hyperplane incidences,
The Laplacian lattice of a graph under a simplicial distance function,
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves,
The distribution of spacings between quadratic residues,
Comparison of volumes of Siegel sets and fundamental domains for \(\mathrm {SL}_n ({\mathbb {Z}})\),
CLASSIFICATION OF THE SUBLATTICES OF A LATTICE,
Algorithms for the Shortest and Closest Lattice Vector Problems,
On Humbert-Minkowski’s constant for a number field,
Diophantine approximation,
FPT-algorithms for some problems related to integer programming,
Adelic Minkowski's second theorem over a division algebra,
Integral Matrices of Fixed Rank,
A generalization of Voronoi's reduction theory and its application,
Singular matrices and a uniform bound for congruence groups of \(SL_ n(\mathbb{Z})\),
The asymptotic distribution of Frobenius numbers,
Shifts on zero-dimensional compact metric spaces,
Hermite’s Constant and Lattice Algorithms,
The periodic Lorentz gas in the Boltzmann-Grad limit: asymptotic estimates,
Free path lengths in quasicrystals,
On the index of Siegel grids and its application to the tomography of quasicrystals,
Lattice packing and covering of convex bodies,
Integral points on elliptic curves and 3-torsion in class groups,
Primes Dividing Invariants of CM Picard Curves,
Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusion,
Lattice size and generalized basis reduction in dimension three,
Symmetries of Quotient Networks for Doubly Periodic Patterns on the Square Lattice,
Higher-rank Bohr sets and multiplicative diophantine approximation,
A classification of quantum Hall fluids,
A note on semigroups, groups and geometric lattices,
Geometry of Riemann surfaces based on closed geodesics,
The work of Einsiedler, Katok and Lindenstrauss on the Littlewood conjecture,
Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents,
On a theorem of Davenport and Schmidt,
Density of integer points on affine homogeneous varieties,
A description of the segment \([1,T\), where \(T\) is the meeting number of a set-lattice],
Poisson approximation and Weibull asymptotics in the geometry of numbers,
Distribution of values of quadratic forms at integral points