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Jesse Jääsaari: On Signs of Fourier Coefficients of Hecke-Maass Cusp Forms on GL(3)

Time: Fri 2024-03-01 11.00 - 11.50

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

Video link: Meeting ID: 921 756 1880

Participating: Jesse Jääsaari (University of Turku)

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Abstract:

 We will discuss sign changes of Fourier coefficients of Hecke-Maass cusp forms for the group \(\mathrm{SL}(3, \mathbf{Z})\). In particular, for self-dual forms we will consider real-valued coefficients \(A(m,1)\), which correspond to Hecke eigenvalues once the underlying form is properly normalised. We also state some results for coefficients \(A(m,m)\), which are always real-valued.

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