2 citations · 2 across the 2 of their papers we have counts for
2 papers
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…