Multiplicative orders mod $p$

Date/heure
8 avril 2021
14:30 - 15:30

Lieu
Salle de séminaire de Théorie des Nombres virtuelle

Oratrice ou orateur
Paul Pollack (University of Georgia)

Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz

I will survey what is known about the distribution of the orders of integers mod $p$, as $p$ varies. Particular attention will be paid to problems of the following sort: For fixed $a$ and $b$, how do the order of $a$ mod $p$ and the order of $b$ mod $p$ compare, as $p$ varies? The proofs will draw from the elementary, algebraic, and analytic strands of number theory. (So hopefully something for everyone!)