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#### An explicit conductor formula for GLn X GL1

##### MPS-Authors
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Corbett,  Andrew
Max Planck Institute for Mathematics, Max Planck Society;

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arXiv:1706.04988.pdf
(Preprint), 203KB

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##### Citation

Corbett, A. (2019). An explicit conductor formula for GLn X GL1. Rocky Mountain Journal of Mathematics, 49(4), 1093-1110. doi:10.1216/RMJ-2019-49-4-1093.

Cite as: https://hdl.handle.net/21.11116/0000-0004-A0AB-6
##### Abstract
We prove an explicit formula for the conductor of an irreducible, admissible representation of ${\rm GL}(n,F)$ twisted by a character of ${\rm GL}(1,F)$ where the field $F$ is local and non-archimedean. As a consequence, we quantify the number of character twists of such a representation of fixed conductor.