On additive decompositions of the set of primitive roots modulo p
Résumé
It is conjectured that the set G of the primitive roots modulo p has no decomposition (modulo p) of the form G = A+B with |A| > 2, |B| > 2. This conjecture seems to be beyond reach but it is shown that if such a decomposition of G exists at all, then |A|, |B| must be around p^(1/2) , and then this result is applied to show that G has no decomposition of the form G = A + B + C with |A| > 2, |B| > 2, |C| > 2.
Domaines
Théorie des nombres [math.NT]
Origine : Fichiers produits par l'(les) auteur(s)
Loading...