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SUMMARY:Matthew Young (Texas A&M University)
DTSTART:20201028T160000Z
DTEND:20201028T170000Z
DTSTAMP:20260423T024748Z
UID:hnts/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/11/">Th
 e Weyl bound for Dirichlet $L$-functions</a>\nby Matthew Young (Texas A&M 
 University) as part of Heilbronn number theory seminar\n\n\nAbstract\nThe 
 problem of bounding $L$-functions has a long history. For the Riemann zeta
  function\, the method of Weyl gives a subconvexity bound with exponent $1
 /6$\, which is now called the Weyl bound. Many questions on the zeta funct
 ion in the t-aspect have a natural analog for Dirichlet $L$-functions in t
 he q-aspect\, but the latter is in general much harder. Indeed\, the first
  subconvexity result for Dirichlet $L$-functions\, due to Burgess in the 1
 960's\, has a weaker exponent $3/16$. In this talk I will discuss work wit
 h Ian Petrow that proves the Weyl bound for all Dirichlet $L$-functions.\n
LOCATION:https://researchseminars.org/talk/hnts/11/
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