NORMAL BASES FOR MODULAR FUNCTION FIELDS

DOI10.1017/S0004972716001362zbMath1430.11088arXiv1608.06708OpenAlexW2963247259MaRDI QIDQ5269715

Ja Kyung Koo, Dong Sung Yoon, Dong Hwa Shin

Publication date: 27 June 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06708

zbMATH Keywords

modular functionsnormal basesmodular units

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Elliptic and modular units (11G16)

Cites Work

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• Completely normal elements in some finite abelian extensions
• Normal bases of ray class fields over imaginary quadratic fields
• Relative Galois module structure of rings of integers and elliptic functions. II
• Eine Verschärfung des Satzes von der Normalbasis. (An improvement of the normal basis theorem)
• Galoismodulstruktur und elliptische Funktionen. (Galois module structure and elliptic functions)
• Über die Hauptordnung der ganzen Elemente eines abelschen Zahlkörpers.
• On an extension of a theorem of S. Chowla
• Universal normal bases for the abelian closure of the field of rational numbers

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