Ja Kung Koo, Dong Hwa Shin
Published 2011-10-09, updated 2011-11-25Version 2
We give a completely normal element in the maximal real subfield of a cyclotomic field over the field of rational numbers, which is different from that of Okada. This result is a consequence of the criterion for a normal element developed in [Normal bases of ray class fields over imaginary quadratic fields, Math. Zeit.]. Furthermore, we find a completely normal element in certain extension of modular function fields in terms of a quotient of the modular discriminant function.
Ring class invariants over imaginary quadratic fields
On the simultaneous divisibility of class numbers of triples of imaginary quadratic fields
On the equivariant and the non-equivariant main conjecture for imaginary quadratic fields
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