Arithmetic Siegel-Weil formula on $X_{0}(N)$
Number Theory
2018-02-06 v2
Abstract
In this paper, we proved an arithmetic Siegel-Weil formula and the modularity of some arithmetic theta function on the modular curve when is square free. In the process, we also construct some generalized Delta function for and proved some explicit Kronecker limit formula for Eisenstein series on .
Keywords
Cite
@article{arxiv.1702.07917,
title = {Arithmetic Siegel-Weil formula on $X_{0}(N)$},
author = {Tuoping Du and Tonghai Yang},
journal= {arXiv preprint arXiv:1702.07917},
year = {2018}
}