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math.NT2022
Combinatorial properties of multidimensional continued fractions
Michele Battagliola, Nadir Murru, Giordano Santilli
The study of combinatorial properties of mathematical objects is a very important research field and continued fractions have been deeply studied in this sense. However, multidimen…
math.NT2022
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…
math.NT2022
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…