Abstract
Some semi-simple L-functions which are associated with the cohomology of a quaternionic Shimura variety are compared with semi-simple automorphic L-functions. Assuming a certain purity condition this yields a similar result for the usual L-functions. The main theorem of the present paper extends previous results of the author to a more general case.
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Received: 19 July 2000
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Reimann, H. Cohomology of quaternionic Shimura varieties at parahoric levels. Manuscripta Math. 107, 391–407 (2002). https://doi.org/10.1007/s002290200245
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DOI: https://doi.org/10.1007/s002290200245