Note On the Irrationality of the L-Function Constants L(s, X)

preprint2012arXivOpen access

Abstract

A unified proof of the irrationality of the special values L(n, X), n > 1 an integer, of the beta L-function is put forward in this note. The first case of n = 2 seems to confirm that the Catalan constant L(2, X) is an irrational number.

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