Dmitry Badziahin

activity

20092022

most citedOn the complexity of a putative counterexample to the

p

-adic Littlewood conjecture

12 citations · 12 across the 5 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.NT2022

Badly approximable infinite products of quadratic polynomials

Dmitry Badziahin, Cameron Eggins

We provide a number of conditions on the rational numbers $u$ and $v$ which ensure that the Laurent series $g_{u, v} (x) := \prod_{t = 0}^{\infty} (1 + u x^{- 3^{t}} + v x^{- 2 \cdot 3^{t}})$ is badl…

math.NT2022

Continued fractions of cubic Laurent series

Dmitry Badziahin

We construct continued fraction expansions for several families of the Laurent series in $Q [[t^{- 1}]]$ . To the best of the author's knowledge, this is the first result of…