ZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVEL 4
2014 ◽
Vol 10
(02)
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pp. 455-470
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Keyword(s):
Let [Formula: see text] be the space of weakly holomorphic modular forms of weight k and level 4 that are holomorphic away from the cusp at ∞. We define a canonical basis for this space and show that for almost all of the basis elements, the majority of their zeros in a fundamental domain for Γ0(4) lie on the lower boundary of the fundamental domain. Additionally, we show that the Fourier coefficients of the basis elements satisfy an interesting duality property.
2016 ◽
Vol 13
(01)
◽
pp. 195-207
2016 ◽
Vol 12
(08)
◽
pp. 2107-2123
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2011 ◽
Vol 07
(04)
◽
pp. 933-941
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