An explicit conductor formula for $\operatorname{GL} _{n} \times \operatorname{GL} _{1}$
نویسندگان
چکیده
منابع مشابه
AN EXPLICIT CONDUCTOR FORMULA FOR GL(n)×GL(1) AND FUNCTORIAL DEPTH PRESERVATION
We prove an explicit formula for the conductor of an irreducible, admissible representation of GL(n, F ) twisted by a character of F× where the field F is local and non-archimedean. The components of our formula are analysed, both explicitly and on average, for application to the analytic study of automorphic forms on GL(n). We also demonstrate that “functoriality preserves depth” for such Rank...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2019
ISSN: 0035-7596
DOI: 10.1216/rmj-2019-49-4-1093