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Journal of the Ramanujan Mathematical Society

Volume 31, Issue 2, June 2016  pp. 137–156.

On the conductor of certain local L-functions

Authors:  U. K. Anandavardhanan and Amiya Kumar Mondal
Author institution:Department of Mathematics, Indian Institute of Technology Bombay, Mumbai 400 076, India

Summary:  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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