On the irrationality of certain series

P. Erdös, E. G. Straus

Research output: Contribution to journalArticle

14 Citations (Scopus)


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
Issue number1
Publication statusPublished - Nov 1974


ASJC Scopus subject areas

  • Mathematics(all)

Cite this