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DTSTART:20230326T030000
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BEGIN:VEVENT
DTSTAMP:20260424T062846Z
UID:1681383600@ist.ac.at
DTSTART:20230413T130000
DTEND:20230413T150000
DESCRIPTION:Speaker: Stevan Gajovic\nhosted by Tim Browning \nAbstract: Let
  f be a random polynomial in Zp[x] of degree n. We determine the density o
 f such polynomials f having exactly r roots in Qp. We also determine the e
 xpected number of roots of monic polynomials f in Zp[x] of degree n\, and\
 , more generally\, the expected number of sets of exactly d elements consi
 sting of roots of such f. We show that these densities are rational functi
 ons in p and discuss the remarkable symmetry phenomenon that occurs and so
 me asymptotic results. This is joint work with Manjul Bhargava\, John Crem
 ona\, and Tom Fisher. 
LOCATION:Heinzel Seminar Room (I21.EG.101)\, Office Building West\, ISTA\, 
 ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at 
SUMMARY:Stevan Gajovic: The density of polynomials of degree n over Zp that
  have exactly r roots in Qp
URL:https://talks-calendar.ista.ac.at/events/4093
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