Zapiski Nauchnykh Seminarov POMI
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (195 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/znsl6932
  • https://www.mathnet.ru/eng/znsl/v490/p109
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:113
    Full-text PDF :57
    References:20
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024