- Eichler orders and Jacobi forms of squarefree level
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- 影响因子：0.679
- 所属单位：数学科学学院
- 发表刊物：JOURNAL OF NUMBER THEORY
- 刊物所在地：525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
- 项目来源：Fundamental Research Funds for the Central Universities (No. 22120210556)
- 关键字：Jacobi forms Definite quaternion algebras Eichler orders Class numbers Type numbers Theta series Eisenstein series
- 摘要：For all Eichler orders with a same squarefree level in a definite quaternion algebra over the field of rational numbers, we prove that a weighted sum of Jacobi theta series associated to these orders is a Jacobi Eisenstein series. Multiply the Fourier coefficients of the latter by a power of 2to get our modified Hurwitz class numbers. As its corollaries, the modified Hurwitz class numbers can be used to calculate the traces of Brandt matrices and the type number of the Eichler orders.
- 合写作者：周海港
- 论文类型：期刊论文
- 卷号：236
- 页面范围：349-387
- ISSN号：0022-314X
- 是否译文：否
- 发表时间：2022-01-01
- 收录刊物：WOS、SCOPUS、CNKI
