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SUMMARY:Nina Zubrilina (MIT)
DTSTART:20250203T210000Z
DTEND:20250203T220000Z
DTSTAMP:20260423T040043Z
UID:NTBU/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/17/">Ro
 ot Number Correlation Bias of Fourier Coefficients of Modular Forms</a>\nb
 y Nina Zubrilina (MIT) as part of Boston University Number Theory Seminar\
 n\nLecture held in CDS Room 365 in Boston University.\n\nAbstract\nIn a re
 cent study\, He\, Lee\, Oliver\, and Pozdnyakov observed a striking oscill
 ating 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 Dirichlet coefficients of a much broa
 der class of arithmetic L-functions when split by rootnumber.\n In my talk
 \, I will discuss this root numbercorrelation in families of holomorphic a
 nd Maass forms.\n
LOCATION:https://researchseminars.org/talk/NTBU/17/
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