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August 28, 2025Publications mathématiques de BesançonOpen Access

The algebraic groups leading to simultaneous approximation of an algebraic number and its square

Masami Fujimori

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Key Points

The study reveals algebraic groups that relate to the simultaneous approximation of algebraic numbers and their squares.
Key findings indicate that these algebraic groups play a significant role in the approximation process.
This research utilizes theoretical analysis of algebraic structures to explore approximations.
Understanding these relationships enhances the mathematical foundations for number theory applications.

Implication

Analysis identifies algebraic groups connected to simultaneous approximation, suggesting deeper mathematical relationships.

Abstract

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

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Cite This Study

Masami Fujimori (2025) studied this question.

synapsesocial.com/papers/68bb3ef02b87ece8dc957685 https://doi.org/10.5802/pmb.65

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4Multiplicative Dependence of Shifted Quadratic and Cubic Algebraic NumbersOriginal Research · 2026
5Algebraic Obstructions Determine Diophantine Approximation on Matrix Submanifolds — E8 Intelligence ResearchOriginal Research · 2026

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