Let be a complete non-Archimedean valuated field, with valuation 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) and the sequence of coefficients converges to 0 with respect to . Then has only finitely many zeros in .
Strassman's Theorem
See also
Archimedean Valuation, Mahler-Lech Theorem, Valuation, Valuation RingExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Strassman's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StrassmansTheorem.html