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math.NT2023
Metrical properties for the large partial quotients with product forms in continued fractions
Bo Tan, Qing-Long Zhou
The metrical theory of the product of consecutive partial quotients is associated with the uniform Diophantine approximation, specifically to the improvements to Dirichlet's theore…
math.NT2023★ 4 cited
Uniform Diophantine approximation and run-length function in continued fractions
Bo Tan, Qing-Long Zhou
We study the multifractal properties of the uniform approximation exponent and asymptotic approximation exponent in continued fractions. As a corollary, %given a nonnegative reals…