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2ˣと3ˣが両方整数ならxは整数?

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2^x と 3^x がどちらも整数になる実数 x は整数に限るか、という問題を紹介します。 参考文献: Alaoglu, L., & Erdős, P. (1944). On highly composite and similar numbers. Transactions of the American Mathematical Society, 56(3), 448–469. Lang, S. (1966). Introduction to Transcendental Numbers. Addison-Wesley. Ramachandra, K. (1968). Contributions to the theory of transcendental numbers I, II. Acta Arithmetica, 14, 65–72, 73–88. Waldschmidt, M. (2000). Diophantine Approximation on Linear Algebraic Groups. Springer. 音楽: MusMus === X: https://x.com/evima0 Discord: https://discord.com/invite/MqxuBEKRZM

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