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单词 Strassman's Theorem
释义

Strassman's Theorem

Let be a complete non-Archimedean Valuated Field, withValuation Ring , and let be a Power series with Coefficients in . Suppose at least one of the Coefficients is Nonzero (so that is not identically zero) andthe sequence of Coefficients converges to 0 with respect to . Then has onlyfinitely many zeros in .

See also Archimedean Valuation, Mahler-Lech Theorem, Valuation, Valuation Ring
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更新时间:2025/5/23 10:09:01