LAUSR

Eichler orders and Jacobi forms of squarefree level

Sign Up to like & get
recommendations!
1 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

On the Space of Slow Growing Weak Jacobi Forms

Sign Up to like & get
recommendations!
2 Published in 2022 at "Journal of Number Theory"

DOI: 10.1016/j.jnt.2022.02.010

Abstract: Weak Jacobi forms of weight $0$ and index $m$ can be exponentially lifted to meromorphic Siegel paramodular forms. It was recently observed that the Fourier coefficients of such lifts are then either fast growing or… read more here.

Keywords: weak jacobi; jacobi forms; slow growing; space slow ... See more keywords

Two moonshines for L2(11) but none for M12

Sign Up to like & get
recommendations!
0 Published in 2019 at "Nuclear Physics B"

DOI: 10.1016/j.nuclphysb.2019.01.004

Abstract: In this paper, we revisit an earlier conjecture by one of us that related conjugacy classes of $M_{12}$ to Jacobi forms of weight one and index zero. We construct Jacobi forms for all conjugacy classes… read more here.

Keywords: jacobi forms; two moonshines; conjugacy classes; moonshines none ... See more keywords