The authors prove δ ≤ 111(397 + √26565)/65522 ≈ 0.94866 for the ray-origin constant in the continuous part of the Dirichlet spectrum via a new Cantor set F4* whose thickness and product properties are established.
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An Improved Upper Bound for the Dirichlet Spectrum in Diophantine Approximation
The authors prove δ ≤ 111(397 + √26565)/65522 ≈ 0.94866 for the ray-origin constant in the continuous part of the Dirichlet spectrum via a new Cantor set F4* whose thickness and product properties are established.