SO+(2,l)上模形式的权与SL2上半整数权Eisenstein级数与尖点形式之间的同余
数论
2007-07-17 v1
摘要
设E为权为半整数、水平为1的向量值Eisenstein级数，并归一化使其系数均属于Z。我们证明存在一个水平为1、权与E相同且系数属于Z的向量值尖点形式f，使得f与E在模去E的常数项下同余。
引用
@article{arxiv.0707.2365,
title = {Weights of modular forms on $\mathrm{SO}^{+}(2,l)$ and congruences between Eisenstein series and cusp forms of half-integral weight on $\mathrm{SL}_{2}$},
author = {Richard Hill},
journal= {arXiv preprint arXiv:0707.2365},
year = {2007}
}