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SUMMARY:Low-lying zeros in a family of holomorphic cusp forms
DTSTART:20191218T141500
DTEND:20191218T151500
DTSTAMP:20261001T035736Z
UID:4c4d7af9dc9619a84cd6050a36d76419682e7b6adb5910b7076b5796
CATEGORIES:Conferences - Seminars
DESCRIPTION:Lucile Devin (CRM\, Université de Montréal)\nIn a joint work
  with Daniel Fiorilli and Anders Södergren\, we study the low-lying zeros
  of L-functions attached to holomorphic cusp forms of level 1 as the weigh
 t increases. This family was proved to be of orthogonal type (resp. specia
 l orthogonal even or odd when the family is separated with respect to sign
  of the functional equation) by Iwaniec\, Luo and Sarnak who obtained the 
 predicted main term for the one-level density of the low-lying zeros for t
 est functions having Fourier transform supported in (-2\,2). Building on t
 heir work\, we obtain lower order terms showing a transition similar to th
 at in the main term when the support of the Fourier transform of the test 
 function reaches the point 1.
LOCATION:GC A3 30 https://plan.epfl.ch/?room==GC%20A3%2030
STATUS:CONFIRMED
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