Abstract
We survey the archimedean representations and Langlands parameters corresponding to holomorphic Siegel modular forms of degree~$2$. This leads to a determination of archimedean local factors for various $L$-functions and all vector-valued weights. We determine the Hodge structures that correspond to holomorphic Siegel modular forms and clarify the relationship with four-dimensional symplectic artin representations.
Citation
Ralf Schmidt. "Archimedean aspects of Siegel modular forms of degree 2." Rocky Mountain J. Math. 47 (7) 2381 - 2422, 2017. https://doi.org/10.1216/RMJ-2017-47-7-2381
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