56 citations · 73 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
Continued fractions in the field of p-adic numbers
Giuliano Romeo
Continued fractions have a long history in number theory, especially in the area of Diophantine approximation. The aim of this expository paper is to survey the main results on the…
A new algorithm for p-adic continued fractions
Nadir Murru, Giuliano Romeo
Continued fractions in the field of --adic numbers have been recently studied by several authors. It is known that the real continued fraction of a positive quadratic irrational…
Convergence conditions for --adic continued fractions
Nadir Murru, Giuliano Romeo, Giordano Santilli
Continued fractions have been introduced in the field of --adic numbers by several authors. However, a standard definition is still missing since all the proposed…
On the periodicity of an algorithm for p-adic continued fractions
Nadir Murru, Giuliano Romeo, Giordano Santilli
In this paper we study the properties of an algorithm for generating continued fractions in the field of p-adic numbers . First of all, we obtain an analogue of the G…