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arxiv: 1201.3507 · v2 · pith:NUOCOT7Rnew · submitted 2012-01-17 · 🧮 math.RT · math.NT

Whittaker functions associated to newforms for GL(n) over p-adic fields

classification 🧮 math.RT math.NT
keywords newformsassociatedfunctionswhittakercharacteristicdiagonalexplicitfield
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Let F be a non-archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of GL_n(F). In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in GL_n(F).

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