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math.NT2007
On the p-th root of a p-adic number
Alfonso Di Bartolo, Giovanni Falcone
We give a sufficient and necessary condition for a p-adic integer to have p-th root in the ring of p-adic integers. The same condition holds clearly for residues modulo p^k. We giv…
math.NT2007
A property of cyclotomic polynomials
Giovanni Falcone
Given two cyclotomic polynomials and , , we determine the minimal natural number k such that we can write with a(x) and b(x…