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SUMMARY:Emily Quesada-Herrera (University of Lethbridge)
DTSTART:20250306T200000Z
DTEND:20250306T210000Z
DTSTAMP:20260423T005828Z
UID:ANTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ANTS/12/">Fo
 urier optimization and the least quadratic non-residue</a>\nby Emily Quesa
 da-Herrera (University of Lethbridge) as part of Calgary Algebra and Numbe
 r Theory Seminar\n\nLecture held in MS 337.\n\nAbstract\nWe will explore h
 ow a Fourier optimization framework may be used to study two classical pro
 blems in number theory involving Dirichlet characters: The problem of esti
 mating the least character non-residue\; and the problem of estimating the
  least prime in an arithmetic progression. In particular\, we show how thi
 s Fourier framework leads to subtle\, but conceptually interesting\, impro
 vements on the best current asymptotic bounds under the Generalized Rieman
 n Hypothesis\, given by Lamzouri\, Li\, and Soundararajan. Based on joint 
 work with Emanuel Carneiro\, Micah Milinovich\, and Antonio Ramos.\n
LOCATION:https://researchseminars.org/talk/ANTS/12/
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