LOCAL RANKIN-SELBERG CONVOLUTIONS FOR GLn: EXPLICIT CONDUCTOR FORMULA

@inproceedings{Bushnell1998LOCALRC,
  title={LOCAL RANKIN-SELBERG CONVOLUTIONS FOR GLn: EXPLICIT CONDUCTOR FORMULA},
  author={C. Bushnell and GUY M. HENNIART and Philip C Kutzko},
  year={1998}
}
In this paper, F denotes a non-Archimedean local field with finite residue field of q elements. The discrete valuation ring of F is denoted o, and ψ is a non-trivial, continuous character of the additive group of F . We write p for the maximal ideal of o and c(ψ) for the largest integer c such that p−c ⊂ Kerψ. For i = 1, 2, let ni be a positive integer, write Gi = GLni(F ), and let πi be an irreducible smooth representation of Gi. To the data π1, π2 and ψ, Jacquet, Piatetskii-Shapiro and… CONTINUE READING

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