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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 365, Pages 122–129 (Mi znsl3467)  
This article is cited in 1 scientific paper (total in 1 paper)

On a paper by Hasse concerning Eisenstein reciprocity law

S. V. Vostokov, M. A. Ivanov, G. K. Pak

St.-Petersburg State University
Full-text PDF (190 kB) Citations (1)
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Abstract: In the present paper we give necessary and sufficient conditions equality power rezidue symbols $(\frac\alpha a)_n$ and $(\frac a\alpha)_n$ in the cyclotomic field $\mathbb Q(\zeta_n)$, $2\nmid n $, for $a\in\mathbb Z$, $(a,n)=1$. This result is generalization of classical Eisenstein reciprocity law and its continuation in Hasse paper. Bibl. – 3 titles.
Received: 02.02.2009
English version:
Journal of Mathematical Sciences (New York), 2009, Volume 161, Issue 4, Pages 525–529
DOI: https://doi.org/10.1007/s10958-009-9580-2
Bibliographic databases:
UDC: 512.6
Language: Russian
Citation: S. V. Vostokov, M. A. Ivanov, G. K. Pak, “On a paper by Hasse concerning Eisenstein reciprocity law”, Problems in the theory of representations of algebras and groups. Part 18, Zap. Nauchn. Sem. POMI, 365, POMI, St. Petersburg, 2009, 122–129; J. Math. Sci. (N. Y.), 161:4 (2009), 525–529
Citation in format AMSBIB
\Bibitem{VosIvaPak09}
\by S.~V.~Vostokov, M.~A.~Ivanov, G.~K.~Pak
\paper On a~paper by Hasse concerning Eisenstein reciprocity law
\inbook Problems in the theory of representations of algebras and groups. Part~18
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 365
\pages 122--129
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3467}
\zmath{https://zbmath.org/?q=an:05660146}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2009
\vol 161
\issue 4
\pages 525--529
\crossref{https://doi.org/10.1007/s10958-009-9580-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70349605999}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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