Eichler orders and Jacobi forms of squarefree level
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2021.07.025
Abstract: Abstract 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… read more here.
Keywords: jacobi forms; orders jacobi; squarefree level; eichler orders ... See more keywords
Dimension formulas of paramodular forms of squarefree level and comparison with inner twist
Sign Up to like & getrecommendations! Published in 2017 at "Journal of The Mathematical Society of Japan"
DOI: 10.2969/jmsj/06920597
Abstract: In this paper, we give an explicit dimension formula for the spaces of Siegel paramodular cusp forms of degree two of squarefree level. As an application, we propose a conjecture on symplectic group version of… read more here.
Keywords: quaternion; dimension; conjecture; squarefree level ... See more keywords