Critical points of the Eisenstein series \(E_4\) and application to the spectrum of the Lamé operator
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Publication:6619352
DOI10.4171/jst/501MaRDI QIDQ6619352
Publication date: 15 October 2024
Published in: Journal of Spectral Theory (Search for Journal in Brave)
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Holomorphic modular forms of integral weight (11F11)
Cites Work
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- On the critical points of modular forms
- On zeros of quasi-modular forms
- Mean field equations, hyperelliptic curves and modular forms. I
- Elliptic functions, Green functions and the mean field equations on tori
- Zeros of the weight two Eisenstein series
- Spectrum of the Lamé operator and application. II: When an endpoint is a cusp
- Picard potential and Hill's equation on a torus
- Exact number and non-degeneracy of critical points of multiple Green functions on rectangular tori
- Mean field equations, hyperelliptic curves and modular forms. II
- 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
- Non-canonical extension of θ-functions and modular integrability of ϑ-constants
- 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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