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SUMMARY:Jolanta Marzec (University of Silesia)
DTSTART:20211201T160000Z
DTEND:20211201T170000Z
DTSTAMP:20260423T024749Z
UID:hnts/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/hnts/44/">So
 me evidence towards Resnikoff-Saldana conjecture</a>\nby Jolanta Marzec (U
 niversity of Silesia) as part of Heilbronn number theory seminar\n\n\nAbst
 ract\nThe Resnikoff-Saldana conjecture proposes a bound for Fourier coeffi
 cients of Siegel modular forms of any degree\, generalizing the classical 
 Ramanujan-Petersson conjecture. In the talk we consider the case of degree
  2. We show that the conjecture holds for many (to be specified) Fourier c
 oefficients of Siegel modular forms which are not generalized Saito-Kuroka
 wa lifts\, as long as it holds for the ones that are fundamental. To do th
 is we employ relations between Fourier coefficients\, local Bessel periods
  and Satake parameters\, ultimately translating a result of Weissauer on t
 he generalized Ramanujan-Petersson conjecture to a bound for Fourier coeff
 icients.\n
LOCATION:https://researchseminars.org/talk/hnts/44/
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