JP Journal of Algebra, Number Theory and Applications
Volume 14, Issue 2, Pages 141 - 156
(August 2009)
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AN ASYMPTOTIC FORMULA FOR THE NUMBER OF ABELIAN EXTENSIONS OF A CYCLOTOMIC FIELD
Behailu Mammo (U.S.A.)
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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 K
of k with Galois group
isomorphic
to G, and the relative discriminant
of
norm equal to m. In this
paper, we derive an asymptotic formula for