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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20260404T015855Z
UID:5c35e30f9a565687708264@ist.ac.at
DTSTART:20190502T110000
DTEND:20190502T120000
DESCRIPTION:Speaker: Ezra Waxman\nhosted by Tim Browning\nAbstract: A Gauss
 ian prime is a prime element in the ring of Gaussian integers Z[i]. As the
  Gaussian integers lie on the plane\, interesting questions about their ge
 ometric properties can be asked which have no classical analogue among the
  ordinary primes. Hecke proved that the Gaussian primes are equidistribute
 d across sectors of the complex plane by making use of Hecke Größenchara
 kters characters and their associated L-functions. In this talk I will pre
 sent several applications obtained upon applying the L-functions Ratios Co
 njecture to this family of L-functions. In particular\, I will present a c
 onjecture for the variance of Gaussian primes across sectors\, and a conje
 cture for the one level density across this family. Time permitting\, I wi
 ll also discuss results related to super even characters\, which are the t
 he function field analogue to Hecke characters.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:lmarr@ist.ac.at
SUMMARY:Ezra Waxman: Hecke Größencharakters and the L-Function Ratios Con
 jecture
URL:https://talks-calendar.ista.ac.at/events/1866
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