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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Small prime 𝑘-th power residues modulo 𝑝

KĂŒbra 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(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
I2M Luminy - Ancienne BU, Salle Séminaire2 (RdC)

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