Spectrum of the Lamé operator and application. II: When an endpoint is a cusp

DOI10.1007/s00220-020-03818-wzbMath1451.34108OpenAlexW3041197668MaRDI QIDQ778822

Chang-Shou Lin, Zhijie Chen

Publication date: 20 July 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-020-03818-w

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Holomorphic modular forms of integral weight (11F11) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items

Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\) ⋮ On eigenelements of a two-dimensional Steklov-type boundary value problem for the Lamé operator ⋮ Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \)

Cites Work

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• Spherical rectangles
• 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
• Picard potential and Hill's equation on a torus
• Green function, Painlevé VI equation, and Eisenstein series of weight one
• Simple zero property of some holomorphic functions on the moduli space of tori
• Mean field equations, hyperelliptic curves and modular forms. II
• Spectrum of the Lamé operator and application. I: Deformation along \(\operatorname{Re} \tau = \frac{ 1}{ 2} \)
• Critical points of the classical Eisenstein series of weight two
• On the spectra of real and complex Lamé operators
• Analytic continuation of eigenvalues of the Lamé operator
• 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
• Elementary Dirichlet Series and Modular Forms
• Complex hill's equation and the complex periodic korteweg-de vries equations
• On Hill's Equation with a Singular Complex-Valued Potential
• On algebraic multiplicity of (anti)periodic eigenvalues of Hill’s equations
• Lamé Potentials and the Stationary (m)KdV Hierarchy
• Lamé polynomials, hyperelliptic reductions and Lamé band structure

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