English

Sup norm on $\text{PGL}_n$ in depth aspect

Number Theory 2018-09-05 v1

Abstract

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

Cite

@article{arxiv.1809.00617,
  title  = {Sup norm on $\text{PGL}_n$ in depth aspect},
  author = {Yueke Hu},
  journal= {arXiv preprint arXiv:1809.00617},
  year   = {2018}
}
R2 v1 2026-06-23T03:52:50.743Z