Applications of Arthur's multiplicity formula to Siegel modular forms

2018/10/22 by Atobe, Hiraku
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1810.09089

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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