Kumiko Nishioka (西岡 久美子, Nishioka Kumiko, born 1954) is a Japanese mathematician at Keio University. She specializes in transcendental numbers, and is known for her research related to the theory of Mahler functions[1][2][3] and Painlevé transcendents.[4] In 1996 she published the first comprehensive text on transcendence of Mahler functions, Mahler Functions and Transcendence, extending and generalizing Mahler's method.[5] Her husband Keiji Nishioka is also a mathematician, and a coauthor.
References
- ^ "Mahler method - Encyclopedia of Mathematics". Retrieved 8 July 2018.
- ^ Fernandes, Gwladys (2018). "Méthode de Mahler en caractéristique non nulle: un analogue du théorème de Ku. Nishioka". Annales de l'Institut Fourier. 68 (6): 2553–2580. arXiv:1707.08033. doi:10.5802/aif.3216. MR 3897974.
- ^ Komatsu, Takao (1998). "On inhomogeneous Diophantine approximation and the Nishioka-Shiokawa-Tamura algorithm". Acta Arithmetica. 86 (4): 305–324. doi:10.4064/aa-86-4-305-324. MR 1659089.
- ^ Casale, Guy (2009). "Une preuve galoisienne de l'irréductibilité au sens de Nishioka-Umemura de la première équation de Painlevé". Astérisque (323): 83–100. ISBN 978-2-85629-263-1. MR 2647966.
- ^ van der Poorten, Alf (1998). "Review of Mahler Functions and Transcendence by Kumiko Nishioka". Bull. London Math. Soc. 30 (6).
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This page was last edited on 5 January 2024, at 11:37