Keywords: reciprocity law.
@article{CHEB_2013_14_4_a4,
author = {E. A. Gorin},
title = {Permutations and reciprocity law by {Zolotarev{\textendash}Frobenius{\textendash}Russo}},
journal = {\v{C}eby\v{s}evskij sbornik},
pages = {80--94},
year = {2013},
volume = {14},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a4/}
}
E. A. Gorin. Permutations and reciprocity law by Zolotarev–Frobenius–Russo. Čebyševskij sbornik, Tome 14 (2013) no. 4, pp. 80-94. http://geodesic.mathdoc.fr/item/CHEB_2013_14_4_a4/
[1] Zolotareff G., “Nouvell démonstration de la reciprocite de Legandre”, Nouv. Ann. Math. (2), 11 (1872), 109–111
[2] Frobenius G., “Über das quadratische Recipprozitätsgesetz”, I.S.-B.Preuss. Akad. Wiss., Berlin, 1914, 335–349 | Zbl
[3] Rousseau G., “On the Jacobi symbol”, J. Number Theory, 48 (1994), 423–425 | DOI | MR
[4] Prasolov V. V., “Dokazatelstvo kvadratichnogo zakona vzaimnosti po Zolotarevu”, Mat. prosveschenie. Seriya 3, 2000, no. 4, 140–144
[5] Kostrikin A. I., Vvedenie v algebru (osnovy algebry), Nauka, M., 1994, 320 pp. | MR
[6] Shilov G. E., Matematicheskii analiz (konechnomernye lineinye prostranstva), Nauka, M., 1969, 207 pp. | MR
[7] Vinogradov I. M., Osnovy teorii chisel, Nauka, M., 1953, 180 pp. | MR
[8] Sushkevich A. K., Teoriya chisel (elementarnyi kurs), Izd. Kharkovskogo un–ta, Kharkov, 1956, 204 pp. | MR
[9] Serr Zh. P., Kurs arifmetiki, Mir, M., 1972, 183 pp. | MR | Zbl