Harder's conjecture I
Number Theory
2022-04-28 v2
Abstract
Let be a primitive form with respect to . Then we propose a conjecture on the congruence between the Klingen-Eisenstein lift of the Duke-Imamoglu-Ikeda lift of and a certain lift of a vector valued Hecke eigenform with respect to . This conjecture implies Harder's conjecture. We prove the above conjecture in some cases.
Keywords
Cite
@article{arxiv.2109.10551,
title = {Harder's conjecture I},
author = {Hiraku Atobe and Masataka Chida and Tomoyoshi Ibukiyama and Hidenori Katsurada and Takuya Yamauchi},
journal= {arXiv preprint arXiv:2109.10551},
year = {2022}
}