Journal of the Ramanujan Mathematical Society

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On the Conductor of Certain Local L-Functions


Affiliations
1 Department of Mathematics, Indian Institute of Technology Bombay, Mumbai-400076, India
2 School of Mathematics, Tata Institute of Fundamental Research, Mumbai-400005, India
     

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The conductor formula of Bushnell, Henniart and Kutzko [BHK98] computes the conductor of a pair of supercuspidal representations of general linear groups over a p-adic field. This is the conductor of the tensor product lift. In this paper, we give an explicit formula for the conductors of the symmetric and exterior square lifts, under the assumption that p≠2.
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  • On the Conductor of Certain Local L-Functions

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Authors

U. K. Anandavardhanan
Department of Mathematics, Indian Institute of Technology Bombay, Mumbai-400076, India
Amiya Kumar Mondal
School of Mathematics, Tata Institute of Fundamental Research, Mumbai-400005, India

Abstract


The conductor formula of Bushnell, Henniart and Kutzko [BHK98] computes the conductor of a pair of supercuspidal representations of general linear groups over a p-adic field. This is the conductor of the tensor product lift. In this paper, we give an explicit formula for the conductors of the symmetric and exterior square lifts, under the assumption that p≠2.