Gaussian behaviour of small quadratic non-residues

Date/heure
26 septembre 2024
15:45 - 16:45

Lieu
Salle Döblin

Oratrice ou orateur
Kunjakanan Nath (Université de Lorraine)

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


Résumé

In this talk, we will discuss the Gaussian behaviour of small quadratic non-residues for almost all primes in short intervals. We will begin with some background on quadratic non-residues and then briefly outline the proof. The proof uses the method of moments in conjunction with sieve methods and algebraic inputs from counting solutions of polynomial equations. This is joint work with Debmalya Basak and Alexandru Zaharescu.