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arXiv · 2206.07337

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

Tamotsu Ikeda·Hidenori Katsurada
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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 $\varGamma_0(4)$, 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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Tamotsu Ikeda, Hidenori Katsurada. 2022-06-15. Estimates for the Fourier coefficients of the Duke-Imamoglu-Ikeda lift. https://arxiv.org/abs/2206.07337

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