Abstract.
A \(\gamma\)-factor defined by the doubling method is calculated for certain supercuspidal representations. The result is a sum over a finite group of Lie type, which may be called a non-abelian Gauss sum. It is the sum of the product of a cuspidal character and an Igusa zeta integral. In some cases, we show that our result agrees with what is expected by the local Langlands conjecture.
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Received: 11 July 1999 / Accepted: 29 December 1999 / Published online: 28 June 2000
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Kim, J. Gamma factors of certain supercuspidal representations. Math Ann 317, 751–781 (2000). https://doi.org/10.1007/PL00004422
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DOI: https://doi.org/10.1007/PL00004422