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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 490, Pages 109–123 (Mi znsl6932)  
On explicit units in Kummer's tower

A. L. Smirnov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: We consider Kummer's tower, i. e. a family of number fields obtained by means of extracting all possible radicals from a rational base. We construct a few series of units in the tower where the base is equal to two and three.
Key words and phrases: Kummer's tower, explicit units, cyclotomic units, elliptic units.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00513
Received: 21.08.2020
Document Type: Article
UDC: 511.2
Language: Russian
Citation: A. L. Smirnov, “On explicit units in Kummer's tower”, Algebra and number theory. Part 3, Zap. Nauchn. Sem. POMI, 490, POMI, St. Petersburg, 2020, 109–123
Citation in format AMSBIB
\Bibitem{Smi20}
\by A.~L.~Smirnov
\paper On explicit units in Kummer's tower
\inbook Algebra and number theory. Part~3
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 490
\pages 109--123
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6932}
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  • https://www.mathnet.ru/eng/znsl/v490/p109
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