On reducible monodromy representations of some generalized Lamé equation

Zhijie Chen; Ting Jung Kuo; Chang Shou Lin; Kouichi Takemura

doi:10.1007/s00209-017-1906-z

On reducible monodromy representations of some generalized Lamé equation

Zhijie Chen^*, Ting Jung Kuo, Chang Shou Lin, Kouichi Takemura

^*この研究の対応する著者

研究成果: Article › 査読

2 被引用数 (Scopus)

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In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemann–Hilbert problem.

本文言語	English
ページ（範囲）	1-10
ページ数	10
ジャーナル	Mathematische Zeitschrift
DOI	https://doi.org/10.1007/s00209-017-1906-z
出版ステータス	Accepted/In press - 2017 5月 13
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.1007/s00209-017-1906-z

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title = "On reducible monodromy representations of some generalized Lam{\'e} equation",

abstract = "In this note, we compute the explicit formula of the monodromy data for a generalized Lam{\'e} equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemann–Hilbert problem.",

author = "Zhijie Chen and Kuo, {Ting Jung} and Lin, {Chang Shou} and Kouichi Takemura",

year = "2017",

month = may,

day = "13",

doi = "10.1007/s00209-017-1906-z",

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AU - Chen, Zhijie

AU - Kuo, Ting Jung

AU - Lin, Chang Shou

AU - Takemura, Kouichi

PY - 2017/5/13

Y1 - 2017/5/13

N2 - In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemann–Hilbert problem.

AB - In this note, we compute the explicit formula of the monodromy data for a generalized Lamé equation when its monodromy is reducible but not completely reducible. We also solve the corresponding Riemann–Hilbert problem.

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U2 - 10.1007/s00209-017-1906-z

DO - 10.1007/s00209-017-1906-z

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JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

SN - 0025-5874

ER -

On reducible monodromy representations of some generalized Lamé equation

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