Geodesic
The converse to Alexandre Froda's irrationality criterion.
Mathematica Scandinavica, Tome 68 (1991) no. 1, pp. 5-18.

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Mots-clés : Alexandre Froda's irrationality criterion, Bruns' criterion, subsequence of fractional parts, convergent monotone sequence 
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     author = {David Sanker},
     title = {The converse to {Alexandre} {Froda's} irrationality criterion.},
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David Sanker. The converse to Alexandre Froda's irrationality criterion.. Mathematica Scandinavica, Tome 68 (1991) no. 1, pp. 5-18. http://geodesic.mathdoc.fr/item/MS2_1991__68_1_167142/