arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1209.3438math.NT
收藏

刻画仿模形式的Jacobi形式

Jacobi forms that characterize paramodular forms

Tomoyoshi Ibukiyama, Cris Poor, David S. Yuen

摘要:

在Jacobi形式的所有形式级数中,通过Jacobi形式的Fourier系数的两个条件:增长条件和一组线性关系,刻画了仿模形式的Fourier Jacobi展开式.理论和计算的例子表明,增长条件可能是多余的。

英文摘要:

The Fourier Jacobi expansions of paramodular forms are characterized from among all formal series of Jacobi forms by two conditions on the Fourier coeffcients of the Jacobi forms: a growth condition and a set of linear relations. Examples, both theoretical and computational, indicate that the growth condition may be superfluous.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑