Subedi, Deepak

Complementary Bell numbers and $p$-adic series

J. Integer Seq. 17(3), Article 14.3.1, 14 p., electronic only (2014)

Summary

Summary: 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.

Mathematics Subject Classification

11A07, 40A30

Keywords/Phrases

p-adic series, complementary Bell number

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