Some results concerning certain periodic continued fractions
Some results from the tables of irregularity index of a prime
Some youthful ways to evaluate .
Speeding up the computations on an elliptic curve using addition-subtraction chains
Staircases in .
Standard relations of multiple polylogarithm values at roots of unity.
Stapled sequences and stapling coverings of natural numbers.
Stark's conjectures and Hilbert's twelfth problem.
Summatory function of the Möbius function. I: Experimental upper bounds. (Fonction sommatoire de la fonction de Möbius. I: Majorations expérimentales.)
Summatory function of the Möbius function. II: Elementary asymptotic upper bounds. (Fonction sommatoire de la fonction de Möbius. II: Majorations asymptotiques élémentaires.)
Sums of like powers and some dense sets.
Sums of squares and products of Jacobsthal numbers.
Superelliptic Equations of the form y^p=x^kp+a_(kp-1)x^(kp-1)+...+a_0
Sur la racine carrée de la codifférente
On présente deux résultats nouveaux concernant la racine carrée de la codifférente d’une extension faiblement ramifiée de . Le premier, relatif à sa structure galoisienne, s’inscrit dans la stratégie classique développée notamment par Fröhlich et Taylor. Le second, qui concerne le réseau entier unimodulaire associé, est prouvé à l’aide de calculs numériques portant sur des exemples intéressants.
Tests de primalidad.
The 4-class ranks of quadratic fields related to the Weyl group algebra.
The asymptotic distribution of exponential sums. I.
The asymptotic distribution of exponential sums. II.
The average least witness is 2
The class number one problem for some non-abelian normal CM-fields of degree
We determine all the non-abelian normal CM-fields of degree 24 with class number one, provided that the Galois group of their maximal real subfields is isomorphic to , the alternating group of degree and order . There are two such fields with Galois group (see Theorem 14) and at most one with Galois group SL (see Theorem 18); if the generalized Riemann hypothesis is true, then this last field has class number .