Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator

Zhijie Chen; Chang-Shou Lin

doi:10.4171/jst/501

JournalsjstVol. 14, No. 3pp. 959–990

Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator

Zhijie Chen
Tsinghua University, Beijing, P. R. China
Chang-Shou Lin
National Taiwan University, Taipei, Taiwan

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Abstract

We give a complete description of the distribution of the critical points of the classical Eisenstein series $E_{4} (τ)$ . An application to the spectrum of the Lamé operator is also given.

Cite this article

Zhijie Chen, Chang-Shou Lin, Critical points of the Eisenstein series $E_{4}$ and application to the spectrum of the Lamé operator. J. Spectr. Theory 14 (2024), no. 3, pp. 959–990

DOI 10.4171/JST/501