Completely normal elements in some finite abelian extensions

• Autorzy: Ja Koo , Dong Shin
• Języki publikacji: EN

Abstrakty

EN

We present some completely normal elements in the maximal real subfields of cyclotomic fields over the field of rational numbers, relying on the criterion for normal element developed in [Jung H.Y., Koo J.K., Shin D.H., Normal bases of ray class fields over imaginary quadratic fields, Math. Z., 2012, 271(1–2), 109–116]. And, we further find completely normal elements in certain abelian extensions of modular function fields in terms of Siegel functions.

Słowa kluczowe

EN

Cyclotomic extensions; Modular functions; Normal bases

Kategorie tematyczne

• 11R18: Cyclotomic extensions
• 12F05: Algebraic extensions
• 11F03: Modular and automorphic functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 10
• Strony: 1725-1731

Daty

wydano

2013-10-01

online

2013-07-20

Twórcy

autor

Ja Koo

• Department of Mathematical Sciences, KAIST, Daejeon, 305-701, Republic of Korea

autor

Dong Shin

• Department of Mathematics, Hankuk University of Foreign Studies, Yongin-si, Gyeonggi-do, 449-791, Republic of Korea

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0280-2