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SUMMARY:Nina Zubrilina (Massachusetts Institute of Technology)
DTSTART:20240924T203000Z
DTEND:20240924T213000Z
DTSTAMP:20260423T130711Z
UID:MITNT/97
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/97/">R
 oot number correlation bias of Fourier coefficients of modular forms</a>\n
 by Nina Zubrilina (Massachusetts Institute of Technology) as part of MIT n
 umber theory seminar\n\nLecture held in Room 2-449 in the Simons Building 
 (building 2).\n\nAbstract\nIn a recen study\, He\, Lee\, Oliver\, and Pozd
 nyakov observed a striking oscillating pattern in the average value of the
  P-th Frobenius trace of elliptic curves of prescribed rank and conductor 
 in an interval range. Sutherland discovered that this bias extends to Diri
 chlet coefficients of a much broader class of arithmetic L-functions when 
 split by root number. In my talk\, I will discuss this root number correla
 tion in families of holomorphic and Maass forms.\n
LOCATION:https://researchseminars.org/talk/MITNT/97/
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