Some Sufficient Conditions of a Given Series with Rational Terms Converging to an Irrational Number or a Transcendental Number


  • Shanghai Putuo University, Department of Mathematics, Shanghai, 200062, China
  • Shanghai Jiaotong University, Department of Mathematics, Shanghai, 200240, China


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.


Diophantine Approximation, Irrational Number, Transcendental Number.

Subject Discipline

Mathematical Sciences

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