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.
Math.403(2022), Paper No
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Dimension bounds for singular affine forms
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.