Algebraicity of metaplectic L-functions
نویسندگان
چکیده
We give a precise determination of the algebraicity critical values L -functions associated to Siegel modular forms half-integral weight and arbitrary degree. generalise improve on similar results for integral-weight case by adapting Rankin-Selberg method this setting, with aid Shimura's theory recent work Bouganis. An essential ingredient is proof new analogue Garrett's conjecture Klingen Eisenstein series, result which also independent interest.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.09.015