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math.NT2026
Well and badly approximable sets, and rapid winning
Mumtaz Hussain, David Simmons
The set of -approximable numbers, , has genuinely fractional Hausdorff dimension, whereas the set of inhomogeneously badly approximable numbers, $\Bad^γ$, has ful…
math.NT2025
Diophantine approximation on abelian varieties; a conjecture of M. Waldschmidt
Lior Fishman, David Lambert, Keith Merrill +1
Following the work of Waldschmidt, we investigate problems in Diophantine approximation on abelian varieties. First we show that a conjecture of Waldschmidt for a given simple abel…