Schonemann's criterion
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For a polynomial q denote by the residue of
modulo
.
Suppose the following conditions hold:
<list>
<it>
with
,
prime, and
.
<it>
<it>
is primitive
<it>
is irreducible in
.
<it>
does not divide
.
<\list>
Then
is irreducible in
.
See also Eisenstein's criterion.