5 citations · 6 across the 6 of their papers we have counts for
6 papers
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…
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…
First-degree prime ideals of composite extensions
Giordano Santilli, Daniele Taufer
Let and be linearly disjoint number fields and let be their compositum. We prove that the first-degree prime ideals of $\mathbb{Z}[θ…
A survey on NIST PQ signatures
Nicola Di Chiano, Riccardo Longo, Alessio Meneghetti +1
Shor's shockingly fast quantum algorithm for solving the period-finding problem is a threat for the most common public-key primitives, as it can be efficiently applied to solve bot…
First-Degree Prime Ideals of Biquadratic Fields dividing prescribed Principal Ideals
Giordano Santilli, Daniele Taufer
We describe first-degree prime ideals of biquadratic extensions in terms of first-degree prime ideals of two underlying quadratic fields. The identification of the prime divisors i…