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math.NT2026
Quantitative Khintchine on the parabola with non-monotonic approximation functions
Maiken Gravgaard, Simon Kristensen
We prove a quantitative version of the convergence case of Khintchine's celebrated theorem in metric Diophantine approximation, but where the approximated points are restricted to…
math.NT2026
Lower bounds for the Hausdorff dimension of expressible sets
Maiken Gravgaard, Simon Kristensen, Jaroslav Hančl
We obtain positive lower bounds on the Hausdorff dimension of sets of real numbers given by expressions of the form , where satisfies som…