17 citations · 48 across the 12 of their papers we have counts for
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math.NT2016
Sparse generalised polynomials
Jakub Byszewski, Jakub Konieczny
We investigate generalised polynomials (i.e. polynomial-like expressions involving the use of the floor function) which take the value on all integers except for a set of densi…
math.NT2016
Automatic sequences, generalised polynomials, and nilmanifolds
Jakub Byszewski, Jakub Konieczny
We conjecture that bounded generalised polynomial functions cannot be generated by finite automata, except for the trivial case when they are periodic away from a finite set. Using…