Explicit subconvexity savings for sup-norms of cusp forms on $\mathrm{PGL}_n(\mathbb R)$
Number Theory
2019-12-18 v2
Abstract
Blomer and Maga recently proved that, if is an -normalized Hecke Maass cusp form for , and is a compact subset of , then we have for some , where is the Laplacian eigenvalue of . In the present paper, we prove an explicit version of their result.
Keywords
Cite
@article{arxiv.1904.12554,
title = {Explicit subconvexity savings for sup-norms of cusp forms on $\mathrm{PGL}_n(\mathbb R)$},
author = {Nate Gillman},
journal= {arXiv preprint arXiv:1904.12554},
year = {2019}
}
Comments
13 pages, minor edits, to appear in Journal of Number Theory