Add to ORKGThis is an introductory expository lecture of elementary level. We start with a brief overview of some classical results in Diophantine approximations, such as Dirichlet\u27s theorem. We then discuss a certain higher dimensional analogue of it, namely approximation of points in a Euclidean space by points of a unimodular lattice. In this direction, we give an overview of the famous conjecture of Minkowski and some of the very exciting recent developments of C. McMullen on this subject
Minkowski’s First Theorem and Dirichlet’s Approximation Theorem provide upper bounds on certain mini...
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, origi...
This thesis is concerned with the theory of Diophantine approximation from the point of view of mea...
A theory is presented for simultaneous Diophantine approximation by means of minimal sets of lattice...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
In the article we present in the Mizar system [1], [2] the formalized proofs for Hurwitz’ theorem [4...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Minkowski\u27s First Theorem and Dirichlet\u27s Approximation Theorem provide upper bounds on certai...
Minkowski’s First Theorem and Dirichlet’s Approximation Theorem provide upper bounds on certain mini...
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, origi...
This thesis is concerned with the theory of Diophantine approximation from the point of view of mea...
A theory is presented for simultaneous Diophantine approximation by means of minimal sets of lattice...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
The original problem of Diophantine approximation, which goes back to the famous 1842 theorem of Dir...
In the article we present in the Mizar system [1], [2] the formalized proofs for Hurwitz’ theorem [4...
AbstractBeginning with an improvement to Dirichlet's Theorem on simultaneous approximation, in this ...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
In this paper, we extend the theory of simultaneous Diophantine approximation to infinite dimensions...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
Minkowski\u27s First Theorem and Dirichlet\u27s Approximation Theorem provide upper bounds on certai...
Minkowski’s First Theorem and Dirichlet’s Approximation Theorem provide upper bounds on certain mini...
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, origi...
This thesis is concerned with the theory of Diophantine approximation from the point of view of mea...