The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Multi-dimensional metric approximation by primitive points

Dani, S G (Indian Institute of Technology)
Friday 04 July 2014, 13:30-14:20

Seminar Room 1, Newton Institute


We consider Diophantine inequalities of the form $| \Theta {\bf q} + {\bf p} - {\bf y} |\leq \psi(| {\bf q} |)$, with $\Theta$ is a $n\times m$ matrix with real entries, ${\bf y} \in \mathbb R^n$, $m,n\in {\bf N}$, and $\psi$ is a function on ${\bf N}$ with positive real values, and seek integral solutions ${\bf v} =({\bf q}, {\bf p})^t$ for which the restriction of ${\bf v}$ to the components of a given partition $\pi$ are primitive integer points. In this setting, we shall discuss metrical results in the style of the Khintchine-Groshev Theorem. Solutions for analogous doubly metrical inequalities will also be discussed.


The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧