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arXiv · 2101.09982

Newforms of Saito-Kurokawa lifts

Takeo Okazaki
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Abstract

A new- and old-form theory for Bessel periods of Saito-Kurokawa representations is given. We introduce arithmetic subgroups so that a local Bessel vector fixed by the subgroup indexed by the conductor of the representation is unique up to scalars. The global Langlands L-function of a holomorphic Saito-Kurokawa representation coincides with a canonically settled Piatetski-Shapiro zeta integral of the newform.

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Takeo Okazaki. 2021-01-25. Newforms of Saito-Kurokawa lifts. https://arxiv.org/abs/2101.09982

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