(REPORTÉ) Small prime 𝑘-th power residues modulo 𝑝

KĂŒbra Benli
Institut Élie Cartan Lorraine
https://kubrakbenli.wixsite.com/kubrabenli

Date(s) : 25/01/2022   iCal
11 h 00 min - 12 h 00 min

Let 𝑝 be a prime number. For each positive integer 𝑘 ≄ 2, it is widely believed that the smallest prime that is a 𝑘th power residue modulo 𝑝 should be 𝑂(đ‘Î”), for any Δ > 0.
Elliott proved that such a prime is at most 𝑝(𝑘-1)/4+Δ, for each Δ > 0.
In this talk, we discuss the number of prime 𝑘th power residues modulo 𝑝 in the interval [1, 𝑝(𝑘-1)/4+Δ] for Δ > 0.

Emplacement
Site Sud, Luminy, Ancienne BU, Salle SĂ©minaire2 (RdC)

Catégories



Retour en haut 

Secured By miniOrange