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Lingmin Liao, Ronggang Shi, Omri Solan, Nattalie Tamam,Hausdorff dimension of weighted singular vectors inR 2, J · 2020

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Dimension bounds for singular affine forms

math.NT · 2025-01-03 · unverdicted · novelty 6.0

Upper bounds are established for the dimension of singular-on-average and ω-singular affine forms in singly metric Diophantine approximation, with extensions to weighted cases and fractal intersections.

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  • Dimension bounds for singular affine forms math.NT · 2025-01-03 · unverdicted · none · ref 24

    Upper bounds are established for the dimension of singular-on-average and ω-singular affine forms in singly metric Diophantine approximation, with extensions to weighted cases and fractal intersections.