3 papers
math.NT2019
Cyclotomic properties of polynomials associated with automatic sequences
Bartosz Sobolewski
We show that polynomials associated with automatic sequences satisfy a certain recurrence relation when evaluated at a root of unity, which generalizes a result of Brillhart, Lomon…
math.NT2018
On the last nonzero digits of in a given base
Bartosz Sobolewski
In this paper we study the sequence of strings of last nonzero digits of in a given base . We determine for which this sequence is automatic and show how to generat…
math.NT2017
The 2-adic valuation of generalized Fibonacci sequences with an application to certain Diophantine equations
Bartosz Sobolewski
In this paper we focus on finding all the factorials expressible as a product of a fixed number of -nacci numbers with . We derive the 2-adic valuation of the -na…