On the Sum of the Reciprocals of the Fermat Numbers and Related Irrationalities

  title={On the Sum of the Reciprocals of the Fermat Numbers and Related Irrationalities},
  author={Solomon W. Golomb},
  journal={Canadian Journal of Mathematics},
  pages={475 - 478}
  • S. Golomb
  • Published 1963
  • Mathematics
  • Canadian Journal of Mathematics
In (1), P. Erdös showed that the function takes on irrational values whenever z = 1/t, t = 2 , 3 , 4 , 5 , . . . . The method of proof uses Lambert's identity, where d(n) is the number of divisors of n; and it is shown that 
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As a corollary of the main result of our recent paper, On the rational approximation of the sum of the reciprocals of the Fermat numbers published in this same journal, we prove that for each integer
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  • D. Duverney
  • Mathematics
    Mathematical Proceedings of the Cambridge Philosophical Society
  • 2001
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