Open Access
February 2018 Schwarz maps associated with the triangle groups $(2,4,4)$ and $(2,3,6)$
Yuto KOGUCHI, Keiji MATSUMOTO, Fuko SETO
Hokkaido Math. J. 47(1): 69-108 (February 2018). DOI: 10.14492/hokmj/1520928061

Abstract

We consider the Schwarz maps with monodromy groups isomorphic to the triangle groups $(2,4,4)$ and $(2,3,6)$ and their inverses. We apply our formulas to studies of mean iterations.

Citation

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Yuto KOGUCHI. Keiji MATSUMOTO. Fuko SETO. "Schwarz maps associated with the triangle groups $(2,4,4)$ and $(2,3,6)$." Hokkaido Math. J. 47 (1) 69 - 108, February 2018. https://doi.org/10.14492/hokmj/1520928061

Information

Published: February 2018
First available in Project Euclid: 13 March 2018

zbMATH: 06853592
MathSciNet: MR3773726
Digital Object Identifier: 10.14492/hokmj/1520928061

Subjects:
Primary: 14K25 , 33C05

Keywords: mean iteration , Schwarz map , theta function

Rights: Copyright © 2018 Hokkaido University, Department of Mathematics

Vol.47 • No. 1 • February 2018
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