Small prime 𝑘-th power residues modulo 𝑝
Kübra Benli
Institut Élie Cartan Lorraine
https://kubrakbenli.wixsite.com/kubrabenli
Date(s) : 01/03/2022 iCal
11h00 - 12h00
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(𝑝ε), for any ε > 0.
Elliott proved that such a prime is at most 𝑝(𝑘-1)/4+ε, for each ε > 0.
In this talk, we discuss the number of prime 𝑘th power residues modulo 𝑝 in the interval [1, 𝑝(𝑘-1)/4+ε] for ε > 0.
Emplacement
I2M Luminy - Ancienne BU, Salle Séminaire2 (RdC)
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