56 citations · 73 across the 9 of their papers we have counts for
9 papers
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…
The ASTRI Cherenkov Camera: from the prototype to the industrial version for the Mini-Array
G. Sottile, P. Sangiorgi, C. Gargano +37
The observation of energetic astronomical sources emitting very high-energy gamma-rays in the TeV spectral range (as e.g. supernova remnants or blazars) is mainly based on detectin…
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…
ASTRI Mini-Array Core Science at the Observatorio del Teide
S. Vercellone, C. Bigongiari, A. Burtovoi +84
The ASTRI (Astrofisica con Specchi a Tecnologia Replicante Italiana) Project led by the Italian National Institute for Astrophysics (INAF) is developing and will deploy at the Obse…
Extragalactic Observatory Science with the ASTRI Mini-Array at the Observatorio del Teide
F. G. Saturni, C. H. E. Arcaro, B. Balmaverde +47
The ASTRI Mini-Array is a next-generation system of nine imaging atmospheric Cherenkov telescopes that is going to be built at the Observatorio del Teide site. After a first phase,…
Special subsets of addresses for blockchains using the secp256k1 curve
Antonio J. Di Scala, Andrea Gangemi, Giuliano Romeo +1
In 2020 Sala, Sogiorno and Taufer have been able to find the private keys of some Bitcoin addresses, thus being able to spend the cryptocurrency linked to them. This result was une…
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…