Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift

2022/06/15 by Ikeda, Tamotsu, Katsurada, Hidenori
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2206.07337

Abstract

Let k and n be positive even integers. For a Hecke eigenform h in the Kohnen plus subspace of weight k-n/2+1/2 for \varGamma₀(4), let I_n(h) be the Duke-Imamoglu-Ikeda lift of h to the space of cusp forms of weight k for Sp_n(\mathbb Z). We then give an estimate of the Fourier coefficients of I_n(h). It is better than the usual Hecke bound for the Fourier coefficients of a Siegel cusp form.

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