Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$
Number Theory
2025-09-15 v2
Abstract
We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Cite
@article{arxiv.2505.13256,
title = {Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$},
author = {Paul D. Nelson},
journal= {arXiv preprint arXiv:2505.13256},
year = {2025}
}
Comments
v2: 16 pages, minor revisions, modified title; to appear in Mathematika