On some rings of arithmetical functions.
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Bhattacharjee, D. (1999)
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The paper establishes the basic algebraic theory for the Gevrey rings. We prove the Hensel lemma, the Artin approximation theorem and the Weierstrass-Hironaka division theorem for them. We introduce a family of norms and we look at them as a family of analytic functions defined on some semialgebraic sets. This allows us to study the analytic and algebraic properties of this rings.
Lavrenyuk, S.P. (2001)
Siberian Mathematical Journal
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