Critical points of the Eisenstein series \(E_4\) and application to the spectrum of the Lamé operator

DOI10.4171/jst/501MaRDI QIDQ6619352

Zhijie Chen, Chang-Shou Lin

Publication date: 15 October 2024

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

zbMATH Keywords

Eisenstein seriesLamé operator

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• On zeros of quasi-modular forms
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• Picard potential and Hill's equation on a torus
• Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori
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• Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \)
• Geometric quantities arising from bubbling analysis of mean field equations
• Critical points of the classical Eisenstein series of weight two
• On the spectra of real and complex Lamé operators
• On the spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV poten\-tials
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• Zeros of the Eisenstein series 𝐸₂
• Zur Theorie der elliptischen Modulfunktionen.
• Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. II

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