An identification of totally ramified extensions over a p-adic field

Mathematics – Number Theory

Scientific paper

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14 pages

Scientific paper

We give some criteria whether given two Eisenstein polynomials over a p-adic
field Qp define the same extension. By using these results, we give high-speed
algorithms of an identification for Eisenstein polynomials of degree p or p^2.
Our code of Magma [Ma] is available at
http://www2.math.kyushu-u.ac.jp/~m-yoshida/calculator.html.

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