12 citations · 86 across the 51 of their papers we have counts for
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On alternative definition of Lucas atoms and their -adic valuations
Gessica Alecci, Piotr Miska, Nadir Murru +1
Lucas atoms are irreducible factors of Lucas polynomials and they were introduced in \cite{ST}. The main aim of the authors was to investigate, from an innovatory point of view, wh…
Some notes on the algebraic structure of linear recurrent sequences
Gessica Alecci, Stefano Barbero, Nadir Murru
Several operations can be defined on the set of all linear recurrent sequences, such as the binomial convolution (Hurwitz product) or the multinomial convolution (Newton product).…
Heights and transcendence of --adic continued fractions
Ignazio Longhi, Nadir Murru, Francesco Maria Saettone
Special kinds of continued fractions have been proved to converge to transcendental real numbers by means of the celebrated Subspace Theorem. In this paper we study the analogous $…