On the zeros of certain weakly holomorphic modular forms for \(\operatorname{\Gamma}_0^+(2)\)

DOI10.1016/J.JNT.2016.02.008zbMath1417.11029OpenAlexW2324364744MaRDI QIDQ273471

Bo-Hae Im, So Young Choi

Publication date: 22 April 2016

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.008

zbMATH Keywords

weakly holomorphic modular form

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Related Items (9)

On the distribution of the zeros of Eisenstein series for \(\Gamma_0^\ast(5)\) and \(\Gamma_0^\ast(7)\) ⋮ The number of zeros of certain combinations of the Eisenstein series for \(\Gamma_0^+(2)\) ⋮ Interlacing of zeros of certain weakly holomorphic modular forms for \(\Gamma_0^+(2)\) ⋮ A family of weakly holomorphic modular forms for $\Gamma _0(2)$ with all zeros on a certain geodesic ⋮ The transcendence of zeros of canonical basis elements of the space of weakly holomorphic modular forms for \({\Gamma}\)\(_{0}\)(2) ⋮ Zeros of certain weakly holomorphic modular forms for the Fricke group ${\varGamma }_0^+(3)$ ⋮ The diagonalization map as submersion, the cubic equation as immersion and Euclidean polynomials ⋮ Dimension formulas for modular form spaces with character for Fricke groups ⋮ On the zeros of certain weakly holomorphic modular forms for ${\varGamma }_0^+(5)$ and ${\varGamma }_0^+(7)$

Cites Work

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• On the zeros and coefficients of certain weakly holomorphic modular forms
• On the zeros of Eisenstein series for \(\Gamma_0^*(2)\) and \(\Gamma_0^*(3)\)
• Basis for the space of weakly holomorphic modular forms in higher level cases
• Valence formulas for certain arithmetic groups and their applications
• Rational period functions and cycle integrals in higher level cases
• Zeros of weakly holomorphic modular forms of levels 2 and 3
• On the Zeros of Certain Cusp Forms
• ZEROS OF EISENSTEIN SERIES
• A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms
• ZEROS OF WEAKLY HOLOMORPHIC MODULAR FORMS OF LEVEL 4
• On the Zeros of Eisenstein Series

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