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TZID:Europe/Vienna
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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20210515T011724Z
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\, IST Austria
ORGANIZER:lmarr@ist.ac.at
SUMMARY:Hecke Größencharakters and the L-Function Ratios Conjecture
URL:https://talks-calendar.app.ist.ac.at/events/1866
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