Some manifolds of Khinchin type for convergence
David Simmons · Journal de Théorie des Nombres de Bordeaux · 2018
Recently, Beresnevich, Vaughan, Velani, and Zorin gave in [2] some sufficient conditions for a manifold to be of Khinchin type for convergence. We show that their techniques can be used in a more optimal way to yield stronger results. In the process we also improve a theorem of Dodson, Rynne, and Vickers [5].