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SUMMARY:Félix Baril Boudreau (University of Lethbridge)
DTSTART:20240229T204500Z
DTEND:20240229T214500Z
DTSTAMP:20260423T052335Z
UID:NTC/37
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/37/">The
  Distribution of Logarithmic Derivatives of Quadratic L-functions in Posit
 ive Characteristic</a>\nby Félix Baril Boudreau (University of Lethbridge
 ) as part of Lethbridge number theory and combinatorics seminar\n\nLecture
  held in University of Lethbridge: M1040 (Markin Hall).\n\nAbstract\nTo ea
 ch square-free monic polynomial $D$ in a fixed polynomial ring $\\mathbb{F
 }_q[t]$\, we can associate a real quadratic character $\\chi_D$\, and then
  a Dirichlet $L$-function $L(s\,\\chi_D)$. We compute the limiting distrib
 ution of the family of values $L'(1\,\\chi_D)/L(1\,\\chi_D)$ as $D$ runs t
 hrough the square-free monic polynomials of $\\mathbb{F}_q[t]$ and establi
 sh that this distribution has a smooth density function. Time permitting\,
  we discuss connections of this result with Euler-Kronecker constants and 
 ideal class groups of quadratic extensions. This is joint work with Amir A
 kbary.\n
LOCATION:https://researchseminars.org/talk/NTC/37/
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