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An Interesting Serendipitous Real Number

  • John Ewing
  • Ciprian Foias
Part of the Discrete Mathematics and Theoretical Computer Science book series (DISCMATH)

Abstract

This is the story of a remarkable real number, the discovery of which was due to a misprint. Namely, in the midseventies, while Ciprian was at the University of Bucharest, one of his former students approached him with the following question:
$$({\text{Q}}) If {{x}_{1}} > 0 {\text{and}} {{x}_{{n + 1}}} = {{(1 + \tfrac{1}{{{{x}_{n}}}})}^{n}}(n = 1,2, \ldots ), {\text{can}} {{x}_{n}} \to \infty ?$$

Keywords

Real Number Zeta Function Deep Connection Previous Summer Prime Number Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag London Limited 2000

Authors and Affiliations

  • John Ewing
    • 1
  • Ciprian Foias
    • 1
  1. 1.Mathematics Department IndianaUniversity BloomingtonUSA

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