CAN THE IRRATIONALITY OF CERTAIN SERIES By

@inproceedings{Erds2004CANTI,
  title={CAN THE IRRATIONALITY OF CERTAIN SERIES By},
  author={Paul Erdős},
  year={2004}
}
is irrational for every t >2 . By more complicated arguments one can show that the condition (ni, ni)=1 is superfluous. We do not give the details since I do not think that the condition E 1 /n i < oo is very relevant . In fact it could be replaced i=1 by a weaker but more complicated condition . I would expect that the series (2) is always irrational if n… CONTINUE READING