On the p-th root of a p-adic number
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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 give a proof that Fermat's last theorem is false for p-adic integers and for residues mod p^k.
7 pages, no figure, submitted
7 pages, no figure, submitted