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

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	679-688
Number of pages	10
Journal	Mathematische Zeitschrift
Volume	288
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-017-1906-z
Publication status	Published - 2018 Apr 1

ASJC Scopus subject areas

General Mathematics

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@article{a78e056b727a4e68a0f2c6d526fbe4b9,

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",

note = "Publisher Copyright: {\textcopyright} 2017, Springer-Verlag Berlin Heidelberg.",

year = "2018",

month = apr,

day = "1",

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

language = "English",

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journal = "Mathematische Zeitschrift",

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T1 - On reducible monodromy representations of some generalized Lamé equation

AU - Chen, Zhijie

AU - Kuo, Ting Jung

AU - Lin, Chang Shou

AU - Takemura, Kouichi

PY - 2018/4/1

Y1 - 2018/4/1

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

M3 - Article

AN - SCOPUS:85019256537

SN - 0025-5874

VL - 288

SP - 679

EP - 688

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

On reducible monodromy representations of some generalized Lamé equation

Abstract

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