Results 141 to 149 of about 230 (149)

The zeros of certain weakly holomorphic Drinfeld modular forms

Manuscripta Mathematica, 2014
Duke and Jenkins (Pure Appl Math Q 4(4):1327–1340, 2008) constructed a canonical basis for the space of weakly holomorphic modular forms for $${{\rm SL}_2(\mathbb{Z})}$$ and investigated the zeros of the ...
SoYoung Choi, Bo-Hae Im
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Zeros of weakly holomorphic modular forms of level 5

International Journal of Number Theory, 2016
Let [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
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On the zeros of certain weakly holomorphic modular forms for ${\varGamma }_0^+(5)$ and ${\varGamma }_0^+(7)$

Acta Arithmetica, 2021
Let \(p\) be \(1\) or a prime number. Let \(\Gamma_0^+(p)\) be the Fricke group generated by the Hecke group \(\Gamma_0(p)\) and the Fricke involution. Let \(M_k^!(\Gamma_0^+(p))\) be the space of weakly holomorphic modular forms of even weight \(k\). This space has a natural basis \(\{f_{k,m}\}_{m\ge m_{p,k}}\) such that \(f_{k,m}(z)=q^{-m}+O(q^{m_{p ...
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A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic

Acta Arithmetica, 2019
Let \(M^!_K (\Gamma_0 (2))\) be the space of weakly holomorphic modular forms of weight \(k\) for \(\Gamma_0 (2)\), and let \(M^{!-}_K (\Gamma_0 (2))\) the subspace consisting of elements \(f \in M^!_K (\Gamma_0 (2))\) with \(f \mid_k \left(\begin{smallmatrix} 0& -1/\sqrt{2} \\ \sqrt{2} & 0 \end{smallmatrix}\right) = -f\).
Choi, Soyoung, Im, Bo-Hae
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Generalized Hecke operators on weakly holomorphic modular forms of non-positive weight

International Journal of Number Theory
Generalized 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, Kyeong Seok Min
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The transcendence of zeros of natural basis elements for the space of the weakly holomorphic modular forms for $\Gamma_{0}^{+}(3)$

Proceedings of the Japan Academy Series A: Mathematical Sciences, 2022
Soyoung Choi
exaly  

Interlacing of zeros of certain weakly holomorphic modular forms for Γ0+(2)

Journal of Mathematical Analysis and Applications, 2017
Soyoung Choi, Bo-Hae Im
exaly  

$p$-adic properties of coefficients of basis for the space of weakly holomorphic modular forms of weight 2

Proceedings of the Japan Academy Series A: Mathematical Sciences, 2012
Soyoung Choi
exaly  

On the zeros of certain weakly holomorphic modular forms for Γ0+(2)

Journal of Number Theory, 2016
Soyoung Choi, Bo-Hae Im
exaly