1 citations · 1 across the 4 of their papers we have counts for
4 papers
Theorems Related to Fermat's Sums of Two Squares
Francois Wolf, Marc Wolf
In this paper, we study the factorization of sums of two squares X2 + Y2. We show the existence of linear and quadratic progressions on X that generate both factorizations and alte…
Semi-primitive roots and irreducible quadratic forms
Marc Wolf, François Wolf
Modulo a prime number, we define semi-primitive roots as the square of primitive roots. We present a method for calculating primitive roots from quadratic residues, including semi-…
On the factorization of numbers of the form
Marc Wolf, François Wolf
We study the factorization of the numbers , where is a fixed constant, and this independently of the value of gcd. We prove the existence of a family of seque…
Calculation of extended gcd by normalization
Marc Wolf, François Wolf, Corentin Le Coz
We propose a new algorithm solving the extended gcd problem, which provides a solution minimizing one of the two coordinates. The algorithm relies on elementary arithmetic properti…