作者
Jim Brown, Hugh Geller, Rico Vicente, Alexandra Walsh
发表日期
2019/11/1
期刊
Journal of Number Theory
卷号
204
页码范围
25-40
出版商
Academic Press
简介
It is known via work of Duke and Ghate that there are only finitely many pairs of full level, degree one eigenforms f and g whose product fg is also an eigenform. We prove a partial generalization of this theorem for degree two Siegel modular forms. Namely, we show that there is only one pair of eigenforms F and G such that FG is a non-cuspidal eigenform. In the case that FG is a cuspform, we provide necessary conditions for FG to be an eigenform, give one example, and conjecture that is the only example.
学术搜索中的文章
J Brown, H Geller, R Vicente, A Walsh - Journal of Number Theory, 2019