Compound Nonlinear Congruential Pseudorandom Numbers.
Compression theorems for periodic tilings and consequences.
Comptage de courbes sur le plan projectif éclaté en trois points alignés
Nous établissons une version de la conjecture de Manin pour le plan projectif éclaté en trois points alignés, le corps de base étant un corps global de caractéristique positive.
Comptage de représentations de groupes de Galois locaux
Comptage exact de discriminants d'extensions abéliennes
Le but de cet article est d’expliquer comment calculer exactement le nombre de classes d’isomorphismes d’extensions abéliennes de en degré inférieur ou égal à et de discriminant majoré par une borne donnée. On parvient par exemple à calculer le nombre de corps cubiques cycliques de discriminant inférieur ou égal à .
Computation of 2-groups of positive classes of exceptional number fields
We present an algorithm for computing the 2-group of the positive divisor classes in case the number field has exceptional dyadic places. As an application, we compute the 2-rank of the wild kernel in .
Computation of Hilbert sequence for composite quadratic extensions using different type of primes in .
Computation of L-series for elliptic curves over function fields.
Computation of -adic heights and log convergence.
Computation of -partial fractions.
Computation of relative class numbers of imaginary abelian number fields.
Computation of relative integral bases for algebraic number fields.
Computation of the fundamental units and the regulator of a cyclic cubic function field.
Computation of the Selmer groups of certain parametrized elliptic curves
Computational proof of some theorems on class numbers
Computational proofs of congruences for 2-colored Frobenius partitions.
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...