半整数权Eisenstein级数及theta幂的Maass提升
数论
2022-01-14 v3
摘要
在本文中，我们显式构造了影子为任意整数与半整数权、水平及在尖点和处特征的Eisenstein级数的mock模形式。作为一个应用，我们给出谐弱Maass形式的显式构造，这些形式是Hecke特征形式且是在影子算子下的原像，其中为经典Jacobi theta函数。
引用
@article{arxiv.2011.07796,
title = {Maass lifts of half-integral weight Eisenstein series and theta powers},
author = {Ajit Bhand and Karam Deo Shankhadhar and Ranveer Kumar Singh},
journal= {arXiv preprint arXiv:2011.07796},
year = {2022}
}
备注
Significant changes have been made. Several proofs are corrected. New results and authors are added