12 citations · 86 across the 51 of their papers we have counts for
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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…
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…
Zeckendorf representation of multiplicative inverses modulo a Fibonacci number
Gessica Alecci, Nadir Murru, Carlo Sanna
Prempreesuk, Noppakaew, and Pongsriiam determined the Zeckendorf representation of the multiplicative inverse of modulo , for every positive integer not divisible by $…
On the cubic Pell equation over finite fields
Simone Dutto, Nadir Murru
The classical Pell equation can be extended to the cubic case considering the elements of norm one in , which satisfy . The s…
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…