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SUMMARY:Ping Xi/郗平 (Xi'an Jiao Tong University)
DTSTART:20201227T091500Z
DTEND:20201227T100000Z
DTSTAMP:20260423T023933Z
UID:iccm2020/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/20/
 ">Equidistribution of quadratic roots and applications to prime number the
 ory</a>\nby Ping Xi/郗平 (Xi'an Jiao Tong University) as part of ICCM 20
 20\n\n\nAbstract\nGiven an irreducible quadratic polynomial of fixed discr
 iminant\, the quadratic roots mod $m$ are expected to be equidistributed a
 s $m$ runs over reasonable sets. We will give a short historical survey on
  this topic\, as well as our recent progress on the case of friable moduli
 . Moreover\, a reasonable equidistribution can also lead to non-trivial mu
 ltiplicative structures in prime number theory\, and an application to a s
 pecial case of Schinzel hypothesis will be discussed in this talk. The und
 erlying tools will include Gauss’s correspondence in the theory of binar
 y quadratic forms and arithmetic exponent pairs for trace functions develo
 ped by Jie Wu and the speaker.\n
LOCATION:https://researchseminars.org/talk/iccm2020/20/
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