Divisibility properties for weakly holomorphic modular forms with sign vectors
2016 ◽
Vol 12
(08)
◽
pp. 2107-2123
◽
Keyword(s):
In this paper, we prove some divisibility results for the Fourier coefficients of reduced modular forms with sign vectors. More precisely, we generalize a divisibility result of Siegel on constant terms when the weight [Formula: see text], which is related to the weight of Borcherds lifts when [Formula: see text]. In particular, we see that such divisibility of the weight of Borcherds lifts only exists for [Formula: see text]. By considering Hecke operators for the spaces of weakly holomorphic modular forms with sign vectors, we obtain divisibility results in an “orthogonal” direction on reduced modular forms.
2008 ◽
Vol 136
(09)
◽
pp. 3051-3059
◽
2014 ◽
Vol 10
(02)
◽
pp. 455-470
◽
2011 ◽
Vol 07
(04)
◽
pp. 933-941
◽