全实域上$p$-进Hecke $L$-函数的和式表达
数论
2023-03-01 v2
摘要
作为先前工作的延续，在假设全实域的Heegner假设类比成立的条件下，我们建立了Delbourgo意义下全实域的-进Hecke -函数的和式表达。这是通过求出相应-进测度的周期之显式公式实现的。作为应用，我们将-进-函数导数的Ferrero-Greenberg公式推广至该情形。
引用
@article{arxiv.2204.07364,
title = {Sum expressions for $p$-adic Hecke $L$-functions of totally real fields},
author = {Luochen Zhao},
journal= {arXiv preprint arXiv:2204.07364},
year = {2023}
}
备注
Revised version with a new Appendix B and slightly strengthened/corrected results; to appear in Pure and Applied Mathematics Quarterly