Continuous Ο-adic Functions and Ο-Deriva
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Alexandru Buium
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Article
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2000
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Elsevier Science
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English
β 90 KB
Let K be a local field, O the ring of integers of K, and ? a uniformizer of O. Assume , is an automorphism of K lifting the q-power map on the residue field OΓ(?). (Such a , exists, for instance, if K is a Galois extension of a finite extension k of Q p , and q is the size of the residue field of k.