Geodesic
Complementary Bell numbers and \(p\)-adic series
Journal of integer sequences, Tome 17 (2014) no. 3
In this article, we generalize a result of Murty on the non-vanishing of complementary Bell numbers and irrationality of a $p$-adic series. This generalization leads to a sequence of polynomials. We partially answer the question of existence of an integral zero of those polynomials.
Classification : 11A07, 40A30
Keywords: p-adic series, complementary Bell number 
@article{JIS_2014__17_3_a2,
     author = {Subedi,  Deepak},
     title = {Complementary {Bell} numbers and \(p\)-adic series},
     journal = {Journal of integer sequences},
     year = {2014},
     volume = {17},
     number = {3},
     zbl = {1353.11049},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a2/}
}
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Subedi,  Deepak. Complementary Bell numbers and \(p\)-adic series. Journal of integer sequences, Tome 17 (2014) no. 3. http://geodesic.mathdoc.fr/item/JIS_2014__17_3_a2/