This analysis proves that the diophantine exponent is bounded by the mahler measure, indicating implications for transcendental numbers.
The aim of this paper is to prove that the Diophantine exponent is bounded by , where is an algebraic number, and is the Mahler measure of . In addition, a new result will be founded about transcendental number when is infinite.
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Shafah et al. (2025) studied this question.
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