The geometry of generalized Lamé equation. II: Existence of pre-modular forms and application

DOI10.1016/j.matpur.2019.05.004zbMath1428.33038arXiv1807.07745OpenAlexW2946142199MaRDI QIDQ2338123

Zhijie Chen, Chang-Shou Lin, Ting-Jung Kuo

Publication date: 21 November 2019

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07745

zbMATH Keywords

mean field equationpre-modular formgeneralized Lamé equation

Mathematics Subject Classification ID

Plane and space curves (14H50) Lamé, Mathieu, and spheroidal wave functions (33E10) Green's functions for elliptic equations (35J08)

Related Items (7)

A necessary and sufficient condition for the Darboux-Treibich-Verdier potential with its spectrum contained in $\mathbb{R}$ ⋮ Deformation of the spectrum for Darboux-Treibich-Verdier potential along \(\mathrm{Re}\,\tau =\frac{1}{2}\) ⋮ Elliptic KdV potentials and conical metrics of positive constant curvature. I ⋮ On the asymptotics for minimizers of Donaldson functional in Teichmüller theory ⋮ The geometry of generalized Lamé equation. I ⋮ Modular ordinary differential equations on \(\mathrm{SL}(2,\mathbb{Z})\) of third order and applications ⋮ Even solutions of some mean field equations at non-critical parameters on a flat torus

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