Interlacing of zeros of weakly holomorphic modular forms

DOI10.1090/S2330-1511-2014-00010-9zbMath1341.11017arXiv1308.1123OpenAlexW2962851568MaRDI QIDQ2814363

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Publication date: 21 June 2016

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1123

zbMATH Keywords

Eisenstein serieszeros of weakly holomorphic modular forms

Mathematics Subject Classification ID

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

Related Items (7)

On the interlacing of the zeros of Poincaré series ⋮ On interlacing of the zeros of a certain family of modular forms ⋮ ZEROS OF CERTAIN COMBINATIONS OF EISENSTEIN SERIES ⋮ On the interlacing of the zeros of certain Poincaré cusp forms ⋮ Double interlacing between zeros of modular forms ⋮ 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

Cites Work

• Unnamed Item
• On the zeros and coefficients of certain weakly holomorphic modular forms
• Interlacing property of the zeros of $j_{n}(𝜏)$
• Bounds for coefficients of cusp forms and extremal lattices
• A generalization of a theorem of Rankin and Swinnerton-Dyer on zeros of modular forms
• A separation property of the zeros of Eisenstein series for SL(2, ℤ)
• On the Zeros of Eisenstein Series
• Some observations on the arithmetic of Eisenstein series for the modular group \(\text{SL}(2,\mathbb{Z})\)

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