Explicit subconvexity for $\mathrm{GL}_2$
Number Theory
2022-06-22 v5
Abstract
We make the subconvex exponent for cuspidal representation in the work of Michel \& Venkatesh explicit. The result depends on an effective dependence on the `fixed' representation in our former work on the subconvex bounds for twists by Hecke characters, which in turn depends on the -norm of the test function.
Cite
@article{arxiv.1812.04391,
title = {Explicit subconvexity for $\mathrm{GL}_2$},
author = {Han Wu},
journal= {arXiv preprint arXiv:1812.04391},
year = {2022}
}
Comments
Accepted version in Mathematika