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SUMMARY:Samprit Ghosh (University of Calgary)
DTSTART:20240207T204500Z
DTEND:20240207T214500Z
DTSTAMP:20260423T052457Z
UID:NTC/40
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/40/">Mom
 ents of higher derivatives related to Dirichlet L-functions</a>\nby Sampri
 t Ghosh (University of Calgary) as part of Lethbridge number theory and co
 mbinatorics seminar\n\nLecture held in University of Lethbridge: M1060 (Ma
 rkin Hall).\n\nAbstract\nThe distribution of values of Dirichlet $L$-funct
 ions $L(s\, \\chi)$ for variable $\\chi$  has been studied extensively and
  has a vast literature. Moments of higher derivatives has been studied as 
 well\, by Soundarajan\,  Sono\, Heath-Brown etc. However\, the study of th
 e same for the logarithmic derivative $L’(s\, \\chi)/ L(s\, \\chi)$ is m
 uch more recent and was initiated by Ihara\, Murty etc. In this talk we wi
 ll discuss higher derivatives of the logarithmic derivative and present so
 me new results related to their distribution and moments at $s=1$.\n
LOCATION:https://researchseminars.org/talk/NTC/40/
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