Geodesic
On a paper by Hasse concerning Eisenstein reciprocity law
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 18, Tome 365 (2009), pp. 122-129 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

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. 
@article{ZNSL_2009_365_a4,
     author = {S. V. Vostokov and M. A. Ivanov and G. K. Pak},
     title = {On a~paper by {Hasse} concerning {Eisenstein} reciprocity law},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {122--129},
     year = {2009},
     volume = {365},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_365_a4/}
}
TY  - JOUR
AU  - S. V. Vostokov
AU  - M. A. Ivanov
AU  - G. K. Pak
TI  - On a paper by Hasse concerning Eisenstein reciprocity law
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2009
SP  - 122
EP  - 129
VL  - 365
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2009_365_a4/
LA  - ru
ID  - ZNSL_2009_365_a4
ER  - 
%0 Journal Article
%A S. V. Vostokov
%A M. A. Ivanov
%A G. K. Pak
%T On a paper by Hasse concerning Eisenstein reciprocity law
%J Zapiski Nauchnykh Seminarov POMI
%D 2009
%P 122-129
%V 365
%U http://geodesic.mathdoc.fr/item/ZNSL_2009_365_a4/
%G ru
%F ZNSL_2009_365_a4
S. V. Vostokov; M. A. Ivanov; G. K. Pak. On a paper by Hasse concerning Eisenstein reciprocity law. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 18, Tome 365 (2009), pp. 122-129. http://geodesic.mathdoc.fr/item/ZNSL_2009_365_a4/

[1] G. Eisenstein, “Über ein einfaches Mittel zur Auffindung der höheren Reciprocitätsgesetze und der mit ihnen zu verbindenden Ergänzungssätze”, J. für die reine u. ang. Mathematik, 39 (1850), 351–364. | DOI | Zbl

[2] H. Hasse, “Das Eisensteinsche Reziprozitätsgesetz der $n$-ten Potenzreste”, Math. Ann., 97 (1927), 599–623 | DOI | MR | Zbl

[3] S. V. Vostokov, “Klassicheskii zakon vzaimnosti stepennykh vychetov, kak analog teoremy ob abelevom integrale”, Algebra i analiz, 20:6 (2008), 108–118 | MR