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SUMMARY:Andrew Fiori (University of Lethbridge)
DTSTART:20240306T204500Z
DTEND:20240306T214500Z
DTSTAMP:20260423T052450Z
UID:NTC/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/42/">Tig
 ht approximation of sums over zeros of L-functions</a>\nby Andrew Fiori (U
 niversity of Lethbridge) as part of Lethbridge number theory and combinato
 rics seminar\n\nLecture held in University of Lethbridge: M1060 (Markin Ha
 ll).\n\nAbstract\nIn various contexts explicit formula’s relate sums ove
 r primes (eg: numbers or ideals) to sums over zeros of some corresponding 
 L-function(s). The aim of this talk is to explain how we tightly approxima
 te these sums over zeros in the context where one has zero free regions an
 d zero density results for the corresponding L-function(s) and how we use 
 this to get essentially best possible bounds for the error term in the pri
 me number theorem.\n\nThis talk discusses joint work with Habiba Kadiri an
 d Joshua Swidinsky as well as ongoing work with Mikko Jaskari and Nizar Bo
 u Ezz.\n
LOCATION:https://researchseminars.org/talk/NTC/42/
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