Estimates of cusp forms for certain cocompact arithmetic subgroups
Number Theory
2022-02-04 v2
Abstract
In this article, we derive a sub convexity estimate of Hecke eigen cusp forms associated to certain cocompact arithmetic subgroups of SL(2,R). The main result can be considered as the holomorphic version of the estimate of Hecke eigen Maass forms, derived in a famous paper of Iwaniec and Sarnak. A stronger estimate was derived by Khayutin and Steiner in arXiv:2009.07194. However, techniques used in both the papers are very different.
Cite
@article{arxiv.2201.11322,
title = {Estimates of cusp forms for certain cocompact arithmetic subgroups},
author = {Anilatmaja Aryasomayajula and Baskar Balasubramanyam},
journal= {arXiv preprint arXiv:2201.11322},
year = {2022}
}
Comments
Article is accepted for publication in Proceedings of AMS