A Note on Büchi's Problem for p-adic numbers
We prove that for any prime p and any integer k > 2, there exist in the ring Zp of p-adic integers arbitrarily long sequences whose sequence of k-th powers 1) has its k-th difference sequence equal to the constant sequence (k!); and 2) is not a sequence of consecutive k-th powers. This shows that...
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| Language: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2011
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172011000300002 |
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