6 nombres dont les sommes deux à deux sont des carrés
A million new amicable pairs.
A note on the extensions of Eratosthenes' sieve.
A practical version of the generalized Lagrange algorithm.
Algorithm for finding a biquadratic cyclotomic extension field of .
All elite primes up to 250 billion.
An Algorithm for a Linear Diophantine Equation and a Problem of Frobenius.
Analytic formulas for the regulator of a number field.
Calcul du nombre de classes d'un corps quadratique imaginaire ou réel, d'après Shanks, Williams, McCurley, A. K. Lenstra et Schnorr
Dans cette note nous décrivons différentes méthodes utilisées en pratique pour calculer le nombre de classes d'un corps quadratique imaginaire ou réel ainsi que pour calculer le régulateur d'un corps quadratique réel. En particulier nous décrivons l'infrastructure de Shanks ainsi que la méthode sous-exponentielle de McCurley.
Cinq nombres dont les sommes deux à deux sont des carrés
Computational results relating to problems concerning
Computations concerning the conjecture of Mertens.
Computations of cyclotomic lattices.
Computations of Galois representations associated to modular forms of level one
We propose an improved algorithm for computing mod ℓ Galois representations associated to a cusp form f of level one. The proposed method allows us to explicitly compute the case with ℓ = 29 and f of weight k = 16, and the cases with ℓ = 31 and f of weight k = 12,20,22. All the results are rigorously proved to be correct. As an example, we will compute the values modulo 31 of Ramanujan's tau function at some huge primes up to a sign. Also we will give an improved uper bound on...
Computing the number of certain Galois representations mod
Using the link between Galois representations and modular forms established by Serre’s Conjecture, we compute, for every prime , a lower bound for the number of isomorphism classes of Galois representation of on a two–dimensional vector space over which are irreducible, odd, and unramified outside .
Computo del numero delle coppie di numeri primi gemelli comprese tra e , distinte secondo le cifre terminali.
Congruence subgroups of ) of genus less than or equal to 24.
Corps sextiques contenant un corps cubique (III)
Corps sextiques contenant un corps quadratique (I)
Corps sextiques contenant un corps quadratique (II)