$GL(n):$ $n\leq 4$ 伴随 L-函数的全纯性
数论
2020-03-04 v2
摘要
我们证明了与任意全局域上 或 的 \textbf{任意} 尖点表示相关联的完整伴随 L-函数的整性。同时亦探讨了扭曲情形。
引用
@article{arxiv.1903.09881,
title = {Holomorphy of Adjoint L-functions for $GL(n):$ $n\leq 4$},
author = {Liyang Yang},
journal= {arXiv preprint arXiv:1903.09881},
year = {2020}
}
备注
This is a revised version, with some typos and gaps fixed; some general results on Jacquet-Zagier trace formula on GL(n) has been separated out as an independent preprint and this paper is focused on adjoint L-functions; 40 pages