Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  466.10028
Autor:  Erdös, Paul
Title:  Sur l'irrationalité d'une certaine série. (On the irationality of a certain series.) (In French)
Source:  C.R. Acad. Sci., Paris, Ser. I 292, 765-768 (1981).
Review:  Let a1 < a2 < ... < an < ... be a sequence of integers such that an+1-an ––> oo as n ––> oo. It is shown that sumnan2-an is irrational. The proof is elementary and ingenious and complemented by numerous remarks and suggestions on related questions.
Reviewer:  J.H.Loxton
Classif.:  * 11J81 Transcendence (general theory)
Keywords:  sequence of integers; irrational sum

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