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DTSTART:20190331T030000
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DTSTART:20191027T020000
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DTSTAMP:20260404T203410Z
UID:5c35e30f9a570718152532@ist.ac.at
DTSTART:20190516T110000
DTEND:20190516T120000
DESCRIPTION:Speaker: Giacomo Cherubini\nhosted by Tim Browning\nAbstract: F
 or positive discriminants d\, let h(d) and R(d) be class number and regula
 tor of the real quadratic field Q(sqrt(d)).In 1944 Siegel computed the asy
 mptotic for the sum of h(d)R(d)\, where one orders the summands by increas
 ing discriminants d.If we change ordering and we list h(d) according to th
 e size of the regulators R(d)\, it is possible to prove a different asympt
 otic\, and to (partially) separate the information attached to h(d) and to
  R(d).In the talk I will explain how this problem is related to the prime 
 geodesic theorem and to the spectral theory of automorphic forms\, which p
 rovides useful techniques to prove an asymptotic with strong bounds on the
  error term. I will also quickly explain how the methods generalize to stu
 dy certain class numbers of quadratic forms over Gaussian integers.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Giacomo Cherubini: Effective asymptotic for a sum of class numbers
URL:https://talks-calendar.ista.ac.at/events/1959
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