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arXiv · 1810.09089

Applications of Arthur's multiplicity formula to Siegel modular forms

Hiraku Atobe
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Abstract

We give two applications of Arthur's multiplicity formula to Siegel modular forms. The one is a lifting theorem for vector valued Siegel modular forms, which contains Miyawaki's conjectures and Ibukiyama's conjectures. The other is the strong multiplicity one theorem for Siegel modular forms of scalar weights and level one.

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Hiraku Atobe. 2018-10-22. Applications of Arthur's multiplicity formula to Siegel modular forms. https://arxiv.org/abs/1810.09089

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