Monogenic trinomials with non-squarefree discriminant
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For each integer [Formula: see text], we identify new infinite families of monogenic trinomials [Formula: see text] with non-squarefree discriminant, many of which have small Galois group. Moreover, in certain situations when [Formula: see text] with fixed [Formula: see text] and [Formula: see text], we produce asymptotics on the number of such trinomials with [Formula: see text].
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2009 ◽
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1959 ◽
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