We prove a result in the area of twisted Diophantine approximation related to the theory of Schmidt games. In particular, under certain restrictions we give an affirmative answer to the analogue in this setting of a famous conjecture of Schmidt from Diophantine approximation
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
For any i,j>0 with i+j=1, let Bad(i,j) denote the set of points (x,y)∈R 2 such that max{‖qx‖ 1/i,‖q...
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
For any j_1,...,j_n>0 with j_1+...+j_n=1 and any x \in R^n, we consider the set of points y \in R^n ...
This PhD thesis consists of five papers dealing with problems in various branches of Diophantine app...
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable ...
In this paper we obtain the Lebesgue and Hausdorff measure results for the set of vectors satisfying...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensio...
For any i,j≥0 with i+j=1 , let Bad(i,j) denote the set of points (x,y)∈R 2 for which max{∥qx∥ 1/...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
This paper is motivated by Davenport’s problem and the subsequentwork regarding badly approximable p...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
For any i,j>0 with i+j=1, let Bad(i,j) denote the set of points (x,y)∈R 2 such that max{‖qx‖ 1/i,‖q...
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
For any j_1,...,j_n>0 with j_1+...+j_n=1 and any x \in R^n, we consider the set of points y \in R^n ...
This PhD thesis consists of five papers dealing with problems in various branches of Diophantine app...
This paper is motivated by Davenport's problem and the subsequent work regarding badly approximable ...
In this paper we obtain the Lebesgue and Hausdorff measure results for the set of vectors satisfying...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensio...
For any i,j≥0 with i+j=1 , let Bad(i,j) denote the set of points (x,y)∈R 2 for which max{∥qx∥ 1/...
We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets o...
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in ...
This paper is motivated by Davenport’s problem and the subsequentwork regarding badly approximable p...
In this paper we develop a general theory of metric Diophantine approximation for systems of linear ...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
This paper is devoted to the study of a problem of Cassels in multiplicative Diophantine approximati...
For any i,j>0 with i+j=1, let Bad(i,j) denote the set of points (x,y)∈R 2 such that max{‖qx‖ 1/i,‖q...
Let xs1D49F=(dn)∞n=1 be a sequence of integers with dn≥2, and let (i,j) be a pair of strictly positi...
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