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, 2011, Volume 386, Pages 129–143 (Mi znsl3910)  
Eisenstein's reciprocity law for Lubin–Tate formal groups

S. V. Vostokov, M. A. Ivanov

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (614 kB)
References:
PDF
HTML
Abstract: In the present paper, we study a generalized norm residue symbol on Lubin–Tate formal groups and research a triviality for this symbol, when the first argument locate in the definition field of formal group.
We use explicit formulas for the generalized norm residue symbol $(\ ,\,)_{F,n}$, herewith requirement, consisting of a bound to representing in the form uniformizing's degrees is removed. Bibl. 6 titles.
Key words and phrases: formal groups, Hilbert symbol.
Received: 23.12.2010
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 180, Issue 3, Pages 269–277
DOI: https://doi.org/10.1007/s10958-011-0643-9
Bibliographic databases:
Document Type: Article
UDC: 512.741
Language: Russian
Citation: S. V. Vostokov, M. A. Ivanov, “Eisenstein's reciprocity law for Lubin–Tate formal groups”, Problems in the theory of representations of algebras and groups. Part 20, Zap. Nauchn. Sem. POMI, 386, POMI, St. Petersburg, 2011, 129–143; J. Math. Sci. (N. Y.), 180:3 (2012), 269–277
Citation in format AMSBIB
\Bibitem{VosIva11}
\by S.~V.~Vostokov, M.~A.~Ivanov
\paper Eisenstein's reciprocity law for Lubin--Tate formal groups
\inbook Problems in the theory of representations of algebras and groups. Part~20
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 386
\pages 129--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3910}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 180
\issue 3
\pages 269--277
\crossref{https://doi.org/10.1007/s10958-011-0643-9}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855676080}
Linking options:
  • https://www.mathnet.ru/eng/znsl3910
  • https://www.mathnet.ru/eng/znsl/v386/p129
    • 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:358
    Full-text PDF :113
    References:46
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024