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UID:4748@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20230418T110000
DTEND;TZID=Europe/Paris:20230418T120000
DTSTAMP:20240524T072506Z
URL:https://www.i2m.univ-amu.fr/evenements/extreme-values-of-quadratic-dir
 ichlet-l-functions-over-function-fields/
SUMMARY: (...): Extreme values of quadratic Dirichlet L-functions over func
 tion fields
DESCRIPTION:: We prove an Ω-result for the quadratic Dirichlet L-function 
 |L(1/2\, χP)|\, where χP is a quadratic Dirichlet character of modulo ir
 reducible polynomials P associated with hyperelliptic curve of genus g ove
 r a fixed finite field 𝔽q in the large genus limit. In particular\, we 
 showed that for any ε∈(0\, 1/2)\,\n\nmaxP∈𝓟2g+1 |L(1/2\, χP)|  
 ≫ exp( (1/√2 - ε) (ln q) (g (ln ln g) / ln g)½)\n\nThis is recent j
 oint work with Pranendu Darbar.\n\n&nbsp\;\n\n\nSéminaire Ernest\n[su_spa
 cer size="10"]
CATEGORIES:Séminaire,Ernest
LOCATION:I2M Luminy - Ancienne BU\, Salle Séminaire2 (RdC)\, 163 Avenue de
  Luminy\, 13009 Marseille\, France\, 
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 9 Marseille\, France\, ;X-APPLE-RADIUS=100;X-TITLE=I2M Luminy - Ancienne B
 U\, Salle Séminaire2 (RdC):geo:0,0
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