Date/heure
11 avril 2024
14:30 - 15:30
Lieu
Salle Döblin
Oratrice ou orateur
Antonella Perucca (Université du Luxembourg)
Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz
Résumé
We consider Artin’s conjecture on primitive roots over a number field , reducing an algebraic number . Under GRH, there is a density counting the proportion of the primes of for which is a primitive root.
This density is a rational multiple of an Artin constant that depends on the largest integer such that
Supposing that , we provide uniform bounds for the ratio . This is joint work with Igor Shparlinski. We also present heuristics obtained with Mia Tholl.