Publications of (and about) Paul Erdös
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.
Classif.: * 11J81 Transcendence (general theory)
Keywords: sequence of integers; irrational sum
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