IMSc Webinar

Growth of Petersson inner products of Fourier-Jacobi coefficients of Siegel cusp forms

B. Paul

JSPS post-doctoral fellow, Kyushu University, Japan

In this talk, we shall discuss certain growth properties
of the Petersson inner products of Fourier-Jacobi coefficients of
Siegel cusp forms. In particular, we show that the Ramanujan-Petersson
conjecture for Fourier-Jacobi coefficients of Siegel cusp forms is
true on average for arbitrary degree. We also show that this
conjecture is true for Duke-Imamoglu-Ikeda lifts. Further, we aim to
discuss certain lower bound for these Petersson norms. Google link for the talk is

meet.google.com/frj-jmqa-pqq