66 citations · 329 across the 36 of their papers we have counts for
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math.NT2009★ 7 cited
On the topology of sums in powers of an algebraic number
Nikita Sidorov, Boris Solomyak
Let and \[ Λ(q)={\sum_{k=0}^n a_kq^k\mid a_k\in\{-1,0,1\}, n\ge1}. \] It is well known that if is not a root of a polynomial with coefficients , then is…
math.NT2009
Growth rate for beta-expansions
De-Jun Feng, Nikita Sidorov
Let and let $m>\be$ be an integer. Each $x\in I_\be:=[0,\frac{m-1}{β-1}]$ can be represented in the form \[ x=\sum_{k=1}^\infty ε_kβ^{-k}, \] where fo…