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

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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…