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math.NT2026
Twisted Diophantine approximation on manifolds
Victor Beresnevich, David Simmons, Sanju Velani
In twisted Diophantine approximation, for a fixed matrix one is interested in sets of vectors such that the system of affi…
math.NT2024
Hausdorff dimension of differences of badly approximable sets
Dorsa Hatefi, David Simmons
The set of badly approximable numbers, Bad, is known to be winning for Schmidt's game and hence has full Hausdorff dimension. It is also known that the set of inhomogeneously badly…