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SUMMARY:Anders Södergren (Chalmers University of Technology)
DTSTART:20210303T160000Z
DTEND:20210303T170000Z
DTSTAMP:20260418T064942Z
UID:LNTS/31
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LNTS/31/">Cu
 bic fields\, low-lying zeros and the L-functions Ratios Conjecture</a>\nby
  Anders Södergren (Chalmers University of Technology) as part of London n
 umber theory seminar\n\n\nAbstract\nIn this talk I will discuss recent wor
 k on the low-lying zeros in the family of $L$-functions attached to non-Ga
 lois cubic Dedekind zeta functions. In particular\, I will describe the cl
 ose relation between these low-lying zeros and precise counting results fo
 r cubic fields with local conditions. The main application of this investi
 gation is a conditional omega result for cubic field counting functions. I
  will also discuss the $L$-functions Ratios Conjecture associated to this 
 family of Dedekind zeta functions and the fact that the conjecture in its 
 standard form does not predict all the terms in the family's one-level den
 sity of low-lying zeros. This is joint work with Peter Cho\, Daniel Fioril
 li and Yoonbok Lee.\n
LOCATION:https://researchseminars.org/talk/LNTS/31/
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