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arxiv: 1809.00617 · v1 · pith:W33VVFZDnew · submitted 2018-09-03 · 🧮 math.NT

Sup norm on PGL_n in depth aspect

classification 🧮 math.NT
keywords automorphicnormrepresentationtextaspectassociatedbelongingbound
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In this short paper we give the sub-local upper bound for the sup norm of an automorphic form on $\text{PGL}_n$, whose associated automorphic representation has finite conductor $C(\pi)=p^c$ with $c\rightarrow \infty$, and its local component at the place of ramification is a minimal vector belonging to an irreducible representation with generic induction datum.

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