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math.NT2020
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…
math.NT2020
On t-adic Littlewood conjecture for generalised Thue-Morse functions
Dzmitry Badziahin
We consider a Laurent series defined by infinite products , where is a parameter and is a field. We show…