2011/10/09 by Ja Kung Koo, Koo, Ja Kung, Dong Hwa Shin +1
Computer Science · Mathematics · #11F03 #11R18 #12F05 #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11F03 #msc:11R18 #msc:12F05
paper · pdf · doi:10.48550/arxiv.1110.1852
openalex publication_date 2011/10/09 · arxiv created 2011/11/25 · arxiv updated 2011/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.