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arxiv: 1706.07287 · v1 · pith:ZCNNPCWWnew · submitted 2017-06-22 · 🧮 math.NT

On the standard L-function attached to Siegel-Jacobi modular forms of higher index

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keywords attachedformshigherindexl-functionmodularresultssiegel-jacobi
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In this work we study the analytic properties of the standard L-function attached to Siegel-Jacobi modular forms of higher index, generalizing previous results of Arakawa and Murase. Furthermore, we obtain algebraicity results on special L-values in the spirit of Deligne's Period Conjectures.

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