Hančl, Jaroslav; Kolouch, Ondřej; Novotný, Lukáš A criterion for linear independence of infinite products. (English) Zbl 1349.11105 An. Ştiinţ. Univ. “Ovidius” Constanţa, Ser. Mat. 23, No. 2, 107-120 (2015). Summary: Using an idea of Erd\'’ os the paper establishes a criterion for the linear independence of infinite products which consist of rational numbers. A criterion for irrationality is obtained as a consequence. Cited in 1 Document MSC: 11J72 Irrationality; linear independence over a field Keywords:linear independence; infinite product; irrationality PDF BibTeX XML Cite \textit{J. Hančl} et al., An. Ştiinţ. Univ. ``Ovidius'' Constanţa, Ser. Mat. 23, No. 2, 107--120 (2015; Zbl 1349.11105)