Binomial coefficients and the ring of p-adic integers

Details Binomial coefficients and the ring of p-adic integers Binomial coefficients and the ring of p-adic integers

2008-12-16

arxiv.org/abs/0812.3089v5

Proc. Amer. Math. Soc. 139(2011), no.5, 1569-1577

Mathematics

Number Theory

10 pages

Scientific paper

Let k>1 be an integer and let p be a prime. We show that if $p^a\le k<2p^a$
or $k=p^aq+1$ (with 2qn=0,1,2,...} is dense in the ring Z_p of p-adic integers, i.e., it contains a
complete system of residues modulo any power of p.

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