Results 121 to 130 of about 6,496 (142)
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Effective bounds for Fourier coefficients of certain weakly holomorphic modular forms
Journal of Number Theory, 2018In Jorgenson et al. (2016) [JST 16a] , the authors derived generators for the function fields associated to certain low genus arithmetic surfaces realized through the action of the discrete Fuchsian group Γ 0 ( N ) + / { ± 1 } on the upper half plane. In
D. Garbin
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Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$
Acta Arithmetica, 2021 Comment: 19 ...
Seiichi Hanamoto, Seiji Kuga
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Congruences involving arithmetic progressions for weakly holomorphic modular forms
Advances in Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Choi
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Hecke structures of weakly holomorphic modular forms and their algebraic properties
Journal of Number Theory, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
D. Choi, Subong Lim
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Zeros of weakly holomorphic modular forms of level 5
International Journal of Number Theory, 2017Let [Formula: see text] be the space of weakly holomorphic modular forms of weight [Formula: see text] and level [Formula: see text] that are holomorphic away from the cusp at [Formula: see text]. We study a canonical basis for [Formula: see text] and the locations of zeros of this basis in a fundamental domain. We give a lower bound for the number of
Seiichi Hanamoto
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Three-divisibility of Fourier coefficients of weakly holomorphic modular forms
The Ramanujan Journal, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Seiichi Hanamoto
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Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight
International Journal of Number TheoryGeneralized Hecke operators, originating from the replication formula in Monstrous Moonshine, were extended in [D. Jeon, S.-Y. Kang and C. H. Kim, The Hecke system of harmonic Maass functions and applications to modular curves of higher genera Ramanujan J.
Chang Heon Kim, K. Min
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ARITHMETIC OF WEAKLY HOLOMORPHIC MODULAR FORMS FOR HECKE GROUPS
JP Journal of Algebra, Number Theory and Applications, 2015Summary: \textit{W. Duke} and \textit{P. Jenkins} [Pure Appl. Math. Q. 4, No. 4, 1327--1340 (2008; Zbl 1200.11027)] constructed a nice canonical basis for the space of weakly holomorphic modular forms of weight \(k\) for \(\mathrm{SL}_2(\mathbb{Z})\) that are holomorphic away from the cusp at infinity.
Ahn, Jaehyun, Choi, Soyoung
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Journal of Number Theory, 2019
We consider the canonical basis elements f k , m e for the space of weakly holomorphic modular forms of weight k for the Hecke congruence group Γ 0 ( 2 ) and we prove that for all m ≥ c ( k ) for some constant c ( k ) , if z 0 in a fundamental domain for
Soyoung Choi, Bo-Hae Im
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We consider the canonical basis elements f k , m e for the space of weakly holomorphic modular forms of weight k for the Hecke congruence group Γ 0 ( 2 ) and we prove that for all m ≥ c ( k ) for some constant c ( k ) , if z 0 in a fundamental domain for
Soyoung Choi, Bo-Hae Im
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A basis for the space of weakly holomorphic Drinfeld modular forms for GL2(A)
Journal of Number Theory, 2019We 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.
Soyoung Choi
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