S-arithmetic inhomogeneous Diophantine approximation on manifolds
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DOI: 10.1016/j.aim.2022.108239
Abstract: We investigate $S$-arithmetic inhomogeneous Khintchine type theorems in the dual setting for nondegenerate manifolds. We prove the convergence case of the theorem, including, in particular, the $S$-arithmetic inhomogeneous counterpart of the Baker-Sprind\v{z}uk conjectures. The divergence… read more here.
Keywords: diophantine approximation; approximation manifolds; arithmetic inhomogeneous; inhomogeneous diophantine ... See more keywords