most citedA Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions

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math.NT2023

Metrical properties of the product of partial quotients with geometric mean in continued fractions

Mumtaz Hussain, Bixuan Li, Nikita Shulga

The theory of uniform Diophantine approximation concerns the study of Dirichlet improvable numbers and the metrical aspect of this theory leads to the study of the product of conse…

math.NT2022★ 2 cited

A Hausdorff dimension analysis of sets with the product of consecutive vs single partial quotients in continued fractions

Mumtaz Hussain, Bixuan Li, Nikita Shulga

We present a detailed Hausdorff dimension analysis of the set of real numbers where the product of consecutive partial quotients in their continued fraction expansion grow at a cer…