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DTSTART:20260329T030000
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DTSTAMP:20260924T131248Z
UID:6a35020e9b607174372145@ist.ac.at
DTSTART:20261007T130000
DTEND:20261007T140000
DESCRIPTION:Speaker: Jonathan Bober\nhosted by Tim  Browning\nAbstract: The
  Z-function associated to an L-function is a rotated real-valued function 
 defined so that |Z(t)| = |L(1/2 + it)|\, so that critical zeros of L(s) ar
 e real zeros\, and presumably sign changes\, of Z(t). For the zeta functio
 n\, the integral of Z(t) is well-understood. I'll discuss the integral for
  (mostly) Dirichlet L-functions\, and some phenomena in the spacings of ze
 ros of zeta and L-functions discovered along the way. These phenomena seem
  to be governed by the vanishing/non-vanishing of certain Gauss-type sums.
 This is joint work with Zhenchao Ge and Micah Milinovich.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Jonathan Bober: Integrals of Z-functions
URL:https://talks-calendar.ista.ac.at/events/6654
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