Download or read book Littlewood and Duffin-Schaeffer-type Problems in Diophantine Approximation written by Sam Chow and published by Ams American Mathematical Society. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Gallagher's theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallagher's theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville fibres. Along the way, we prove an inhomogeneous version of the Duffin-Schaeffer conjecture for a class of nonmonotonic approximation functions"--