23 citations · 48 across the 16 of their papers we have counts for
11 papers · 1 filter
Continued Fractions, Quadratic Fields, and Factoring: Some Computational Aspects
Michele Elia
Legendre discovered that the continued fraction expansion of having odd period leads directly to an explicit representation of as the sum of two squares. In this vein…
On the Fiber Characters of and related Polynomial Algebras
Michele Elia
Let be a prime, be a positive integer ( , and if ), and be a multiplicative complex character on with order …
Point-groups over singular cubics
Emanuele Bellini, Nadir Murru, Antonio J. Di Scala +1
In this paper, we highlight that the point group structure of elliptic curves over finite or infinite fields, may be also observed on singular cubics with a quadratic component. St…
Continued Fractions and Factoring
Michele Elia
Legendre found that the continued fraction expansion of having odd period leads directly to an explicit representation of as the sum of two squares. Similarly, it is…
On a problem of Perron
Michele Elia
It is shown that a partition of the set , with , is the separation into squares…
On the Representation of Primes by Binary Quadratic Forms, and Elliptic Curves
Michele Elia, Federico Pintore
It is shown that, under some mild technical conditions, representations of prime numbers by binary quadratic forms can be computed in polynomial complexity by exploiting Schoof's a…