Gallaghers theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallaghers theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville...Daugiau...
After after setting out problems and main results for sums of reciprocals of fractional parts and multiplicative diophantine approximations, Beresnevich, Haynes, and Velani develop techniques and establish the main results. They cover Ostrowski e...Daugiau...
