1. Winning of inhomogeneous bad for curves
- Author
-
Datta, Shreyasi and Shao, Liyang
- Subjects
Mathematics - Number Theory ,Mathematics - Dynamical Systems ,11J13, 11J83, 37A17 - Abstract
We prove the absolute winning property of weighted simultaneous inhomogeneous badly approximable vectors on non-degenerate analytic curves. This answers a question by Beresnevich, Nesharim, and Yang. In particular, our result is an inhomogeneous version of the main result in \cite{BNY22} by Beresnevich, Nesharim, and Yang. Also, the generality of the inhomogeneous part that we considered extends the previous result in \cite{ABV}. Moreover, our results even contribute to classical results, namely establishing the inhomogeneous Schmidt's conjecture in arbitrary dimensions.
- Published
- 2023