On the irrationality of certain series

P. Erdös, E. G. Straus

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Abstract

A criterion is established for the rationality of series of the form ∑ bn/(a1 …, an) where an, bn are integers, an an ≧ 2 and lim bn/(an-1an) = 0. This criterion is applied to prove irrationality and rational independence of certain special series of the above type.

Original languageEnglish
Number of pages1
JournalPacific Journal of Mathematics
Volume55
Issue number1
DOIs
Publication statusPublished - Nov 1974

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ASJC Scopus subject areas

  • Mathematics(all)

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