Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MP_2000_a8, author = {V. V. Prasolov}, title = {{\CYRD}{\cyro}{\cyrk}{\cyra}{\cyrz}{\cyra}{\cyrt}{\cyre}{\cyrl}{\cyrsftsn}{\cyrs}{\cyrt}{\cyrv}{\cyro} {\cyrk}{\cyrv}{\cyra}{\cyrd}{\cyrr}{\cyra}{\cyrt}{\cyri}{\cyrch}{\cyrn}{\cyro}{\cyrg}{\cyro} {\cyrz}{\cyra}{\cyrk}{\cyro}{\cyrn}{\cyra} {\cyrv}{\cyrz}{\cyra}{\cyri}{\cyrm}{\cyrn}{\cyro}{\cyrs}{\cyrt}{\cyri} {\cyrp}{\cyro} {{\CYRZ}{\cyro}{\cyrl}{\cyro}{\cyrt}{\cyra}{\cyrr}{\cyre}{\cyrv}{\cyru}}}, journal = {Matematicheskoe Prosveshchenie}, pages = {140--144}, publisher = {mathdoc}, year = {2000}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MP_2000_a8/} }
V. V. Prasolov. Доказательство квадратичного закона взаимности по Золотареву. Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (2000), pp. 140-144. http://geodesic.mathdoc.fr/item/MP_2000_a8/
[1] Brenner J. L., “Zolotarev's theorem on the Legendre symbol”, Pacific J. Math., 45 (1973), 413–414 | MR | Zbl
[2] Cartier P., “Sur unegénéralization des symboles de Legendre–Jacobi”, L'Ens. Math., 16 (1970), 31–48 | Zbl
[3] Dressler R. E., Shult E. E., “A simple proof of the Zolotareff–Frobenius theorem”, Proc. Amer. Math. Soc., 54 (1975), 53–54 | DOI | MR
[4] Frobenius G., “Über das quadratische Reziprozitätsgesetz, I”, Berl. Ber., 1914, 335–349 | Zbl
[5] Lehmer D. H., “The characters of linear permutations”, Linear and Multilinear Algebra, 4 (1976), 1–16 | DOI | MR | Zbl
[6] Lerch M., “Sur un théorème arithmetique de Zolotarev”, C̆eska Acad., Bull. Int. Cl. Math., 3 (1986), 34–37
[7] Morton P., “A generalization of Zolotarev's theorem”, Amer. Math. Monthly, 86 (1979), 374–376 | DOI | MR
[8] Riesz M., “Sur le lemme de Zolotareff et sur la loi de réciprocité des restes quadratiques”, Math. Scand., 1 (1953), 159–169 | MR | Zbl
[9] Rousseau G., “Exterior algebras and the quadratic reciprocity law”, L'Ens. Math., 36 (1990), 303–308 | MR | Zbl
[10] Rousseau G., “On the quadratic reciprocity law”, J. Austral. Math. Soc. (Series A), 51 (1991), 423–425 | DOI | MR | Zbl
[11] Rousseau G., “On the Jacobi symbol”, J. Number Theory, 48 (1994), 109–111 | DOI | MR | Zbl
[12] Zolotareff G., “Nouvelle démonstration de la loi de réciprocité de Legendre”, Nouv. Ann. Math. (2), 11 (1872), 354–362