### First order irrationality criteria for series

#### Abstract

Following a question of Brun, we consider the possibility of finding a

first order statement that gives a sufficient condition for an infinite series to sum to

an irrational value.

#### Full Text:

1. [PDF]DOI: https://doi.org/10.4115/jla.2015.7.1

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Journal of Logic and Analysis ISSN: 1759-9008