JP Journal of Algebra, Number Theory and Applications
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Abstract: Let denote
the product of two cyclic groups of prime order and be
the field obtained by adjoining the primitive lth root of unity to
the field of rational numbers, Let
denote
the number of abelian extensions Kof kwith Galois group isomorphic
to G, and the relative discriminant of
norm equal to m. In this
paper, we derive an asymptotic formula for
Keywords and phrases: discriminant, character, conductor.
