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The algebraic groups leading to simultaneous approximation of an algebraic number and its square
Masami Fujimori1
1 Kanagawa Institute of Technology, 243-0292 Japan
Publications mathématiques de Besançon. Algèbre et théorie des nombres (2025), pp. 145-167.

We determine the algebraic groups which have a close relation to simultaneous approximation of an algebraic number and its square.

On détermine les groupes algébriques qui ont une étroite relation avec l’approximation simultanée d’un nombre algébrique et de son carré.

Publié le :
DOI : 10.5802/pmb.65
Classification : 11J13, 11J68
Keywords: simultaneous approximation, general Roth system, semi-stable filtration, Hodge filtration, Hodge group

Masami Fujimori 1

1 Kanagawa Institute of Technology, 243-0292 Japan
Licence : CC-BY-ND 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Masami Fujimori. The algebraic groups leading to simultaneous approximation of an algebraic number and its square. Publications mathématiques de Besançon. Algèbre et théorie des nombres (2025), pp. 145-167. doi : 10.5802/pmb.65. https://pmb.centre-mersenne.org/articles/10.5802/pmb.65/

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[2] Masami Fujimori On the algebraic groups leading to simultaneous approximations (Oral presentation, January 2017, Diophantine Analysis and Related Fields 2017, held at Ochanomizu Campus, College of Science and Technology, Nihon University, Japan)

[3] Masami Fujimori The algebraic groups leading to the Roth inequalities, J. Théor. Nombres Bordeaux, Volume 24 (2012) no. 2, pp. 257-292 | DOI | Numdam | MR | Zbl

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