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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20260404T064815Z
UID:5c35e30f9a54d611550996@ist.ac.at
DTSTART:20190404T110000
DTEND:20190404T120000
DESCRIPTION:Speaker: Marc Munsch\nhosted by Tim Browning\nAbstract: In rece
 nt years\, the question of maximizing GCD sums regained interest due to it
 s firm link with large values of L-functions\, leading for instance to the
  breakthrough improvement of Bondarenko and Seip concerning the maximum of
  |ζ(1/2+it)|. In this talk\, we address the counterpart problem of minimi
 zing weighted GCD sums and show that it appears naturally in some applicat
 ions. We consider as well a related optimization question regarding the us
 ual multiplicative energy of a subset of the first N integers. We derive f
 rom our results some consequences for short character sums and non-vanishi
 ng of theta functions.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:lmarr@ist.ac.at
SUMMARY:Marc Munsch: Minimizing GCD sums\, multiplicative energy and applic
 ations
URL:https://talks-calendar.ista.ac.at/events/1844
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