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Strassman's Theorem


Let (K,|·|) be a complete non-Archimedean valuated field, with valuation ring R, and let f(X) be a power series with coefficients in R. Suppose at least one of the coefficients is nonzero (so that f is not identically zero) and the sequence of coefficients converges to 0 with respect to |·|. Then f(X) has only finitely many zeros in R.


See also

Archimedean Valuation, Mahler-Lech Theorem, Valuation, Valuation Ring

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Cite this as:

Weisstein, Eric W. "Strassman's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StrassmansTheorem.html

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