Interlacing of zeros of certain weakly holomorphic modular forms for Γ0+(2)
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2016.12.014
Abstract: Abstract We prove that zeros of each basis element of the space of weakly holomorphic modular forms of weight k for the Fricke group Γ 0 + ( 2 ) of level 2 interlace, extending… read more here.
Keywords: interlacing zeros; zeros certain; modular forms; holomorphic modular ... See more keywords
A basis for the space of weakly holomorphic Drinfeld modular forms for GL2(A)
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DOI: 10.1016/j.jnt.2019.03.020
Abstract: Abstract We construct a canonical basis for the space of weakly holomorphic Drinfeld modular forms. And we find that the basis elements satisfy a generating function and the duality among coefficients of the basis elements.… read more here.
Keywords: weakly holomorphic; holomorphic drinfeld; basis; basis space ... See more keywords
L-series of weakly holomorphic quasimodular forms and a converse theorem
Sign Up to like & getrecommendations! Published in 2024 at "Forum Mathematicum"
DOI: 10.1515/forum-2023-0194
Abstract: Abstract We define L-series of weakly holomorphic quasimodular forms and we derive functional equations of those L-series. We also prove a converse theorem for weakly holomorphic quasimodular forms. read more here.
Keywords: converse theorem; quasimodular forms; weakly holomorphic; series weakly ... See more keywords