# On the Petersson norm of the Hilbert-Siegel cusp form under the Ikeda lift

Hisashi Kojima, Hiroshi Sakata

## 抄録

In this paper, we show an arithmeticity of the ratio of the Petersson norm of the Hilbert-Siegel cusp form determined by the Ikeda lift from a Hilbert cusp form to that of the Hilbert cusp form. This is a generalization of the algebraicity of the ratio of the Petersson norm of the Siegel cusp form under the Ikeda lift of an elliptic cusp form to that of the elliptic cusp form due to Y. Choie and W. Kohnen.

本文言語 English 91-96 6 SUT Journal of Mathematics 58 1 https://doi.org/10.55937/sut/1654156196 Published - 2022

• 数学 (全般)

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