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Some Sufficient Conditions of a Given Series with Rational Terms Converging to an Irrational Number or a Transcendental Number
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In this paper, we generalize Erdors' result on irrationality of some specic fast convergent series, and give out various application examples even in dynamical system, based on it, we propose a conjecture on the irrationality of E series.
Keywords
Diophantine Approximation, Irrational Number, Transcendental Number.
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