18 citations · 49 across the 19 of their papers we have counts for
26 papers
Positive Logarithmic Hausdorff Measures of Exceptional Sets for the -adic and -adic Littlewood Conjectures
Dzmitry Badziahin, Volodymyr Pavlenkov, Evgeniy Zorin
We prove that if the exceptional set for the -adic Littlewood conjecture is non-empty, then its logarithmic Hausdorff dimension is at least one. More precisely, whenever $…
On the -adic Littlewood Conjecture in Characteristics
Faustin Adiceam, Dzmitry Badziahin
Given a prime , the -adic Littlewood Conjecture stands as a well-known arithmetic variant of the celebrated Littlewood Conjecture in Diophantine Approximation. In the same wa…
Simultaneous Diophantine approximation to points on the Veronese curve
Dzmitry Badziahin
We compute the Hausdorff dimension of the set of simultaneously -well approximable points on the Veronese curve in for between and $\frac{2…
On effective irrationality exponents of cubic irrationals
Dzmitry Badziahin
We provide an upper bound on the efficient irrationality exponents of cubic algebraics with the minimal polynomial . In particular, we show that it becomes non-…
Upper bounds for the uniform simultaneous Diophantine exponents
Dmitry Badziahin
We give several upper bounds for the uniform simultaneous Diophantine exponent of a transcendental number . The most important one relates $\wideha…
On simultaneous rational approximation to a -adic number and its integral powers, II
Dzmitry Badziahin, Yann Bugeaud, Johannes Schleischitz
Let be a prime number. For a positive integer and a real number , let denote the supremum of the real numbers for which there are infinitely many integer t…