Voir la notice de l'article provenant de la source Math-Net.Ru
@article{JSFU_2025_18_2_a13, author = {Maxim I. Buzurnyy and Ilya A. Lopatin}, title = {Another proof of {Puiseux's} theorem on algebraic functions}, journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika}, pages = {283--288}, publisher = {mathdoc}, volume = {18}, number = {2}, year = {2025}, language = {en}, url = {http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a13/} }
TY - JOUR AU - Maxim I. Buzurnyy AU - Ilya A. Lopatin TI - Another proof of Puiseux's theorem on algebraic functions JO - Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika PY - 2025 SP - 283 EP - 288 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a13/ LA - en ID - JSFU_2025_18_2_a13 ER -
%0 Journal Article %A Maxim I. Buzurnyy %A Ilya A. Lopatin %T Another proof of Puiseux's theorem on algebraic functions %J Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika %D 2025 %P 283-288 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a13/ %G en %F JSFU_2025_18_2_a13
Maxim I. Buzurnyy; Ilya A. Lopatin. Another proof of Puiseux's theorem on algebraic functions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 2, pp. 283-288. http://geodesic.mathdoc.fr/item/JSFU_2025_18_2_a13/
[1] I.Newton, “Letter to Oldenburg dated 1676 Oct. 24”, The correspondence of Isaac Newton, v. II, Cambridge University press, 1960 | DOI | MR
[2] V.Puiseux, “Recherches sur les fonctions algébriques”, J. Math. Pures Appl., 15 (1850)
[3] J.L.Coolidge, A treatise on algebraic plane curves, “The American Mathematical Monthly”, Oxford, 39:5 (1932), 293–295 | MR
[4] E.Brieskorn, H.Knörrer, Plane algebraic curves, Birkhäuser Verlag, Basel, 1986 | MR
[5] N.G.Chebotarev, Theory of algebraic functions, GITTL, M., 1948 pp. (in Russian) | MR