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UID:6134@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220301T110000
DTEND;TZID=Europe/Paris:20220301T120000
DTSTAMP:20241120T200919Z
URL:https://www.i2m.univ-amu.fr/evenements/small-prime-%f0%9d%91%98-th-pow
 er-residues-modulo-%f0%9d%91%9d/
SUMMARY:Kübra Benli (Institut Élie Cartan Lorraine): Small prime 𝑘-th 
 power residues modulo 𝑝
DESCRIPTION:Kübra Benli: Let 𝑝 be a prime number. For each positive int
 eger 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 &gt\;
  0.\nElliott proved that such a prime is at most 𝑝(𝑘-1)/4+ε\, for e
 ach ε &gt\; 0.\nIn this talk\, we discuss the number of prime 𝑘th powe
 r residues modulo 𝑝 in the interval [1\, 𝑝(𝑘-1)/4+ε] for ε &g
 t\; 0.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 021/10/Kubra_Benli.jpg
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, 1300
 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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DTSTART:20211031T020000
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