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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Vanishing of coefficients in overlapping germ expansions for $p$-adic $\textrm {GL}(n)$
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by Fiona Murnaghan and Joe Repka PDF
Proc. Amer. Math. Soc. 111 (1991), 1183-1193 Request permission

Abstract:

Shalika germs at the identity in $p$-adic ${\text {GL}}(n)$ will blow up at other singular points. Waldspurger has developed a technique for describing this behaviour at intermediate singular points, giving a "germ expansion for germs". In this paper we discuss which germs occur in such an expansion and find that the answer is more complicated than expected.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 111 (1991), 1183-1193
  • MSC: Primary 22E35; Secondary 22E50
  • DOI: https://doi.org/10.1090/S0002-9939-1991-1041010-8
  • MathSciNet review: 1041010