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@article{MP_2008_a11,
author = {E. A. Gorin},
title = {{\CYRS}{\cyrt}{\cyre}{\cyrp}{\cyre}{\cyrn}{\cyri} {\cyrp}{\cyrr}{\cyro}{\cyrs}{\cyrt}{\cyrery}{\cyrh} {\cyrch}{\cyri}{\cyrs}{\cyre}{\cyrl} {\cyrv}~{\cyrs}{\cyro}{\cyrs}{\cyrt}{\cyra}{\cyrv}{\cyre} {\cyrp}{\cyri}{\cyrf}{\cyra}{\cyrg}{\cyro}{\cyrr}{\cyro}{\cyrv}{\cyrery}{\cyrh} {\cyrt}{\cyrr}{\cyro}{\cyre}{\cyrk}},
journal = {Matematicheskoe Prosveshchenie},
pages = {105--125},
publisher = {mathdoc},
year = {2008},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MP_2008_a11/}
}
E. A. Gorin. Степени простых чисел в~составе пифагоровых троек. Matematicheskoe Prosveshchenie, Matematicheskoe Prosveshchenie (2008), pp. 105-125. http://geodesic.mathdoc.fr/item/MP_2008_a11/
[1] Khinchin A. Ya., Velikaya teorema Ferma, ONTI GTTI, M.–L., 1934
[2] Gorin E. A., “Pifagorovy troiki, vklyuchayuschie stepeni prostykh”, Tezisy 4-i mezhd. konf. «Sovr. problemy teorii chisel i ee pril.» (Tula, 10–15 sent. 2001 g.), 47–48
[3] Aierlend K., Rouzen M., Klassicheskoe vvedenie v sovremennuyu teoriyu chisel, per. s angl., Mir, M., 1987 | MR
[4] Bukhshtab A. A., Teoriya chisel, Prosveschenie, M., 1966 | Zbl
[5] Vinogradov I. M., Osnovy teorii chisel, Gostekhizdat, M., 1953 | MR
[6] Trost E., Prostye chisla, per. s nem., Fizmatgiz, M., 1959
[7] Chandrasekkharan K., Vvedenie v analiticheskuyu teoriyu chisel, per. s angl., Mir, M., 1974 | MR
[8] McMullen C. T., “From dynamics on surfaces to rational points on curves”, Bull. of the Am. Math. Soc., 37:2 (2000), 119–140 | DOI | MR | Zbl
[9] Serpinskii V., O reshenii uravnenii v tselykh chislakh, per. s polskogo, Fizmatgiz, M., 1961
[10] Gelfond A. O., “O probleme priblizheniya algebraicheskikh chisel ratsionalnymi”, Mat. prosveschenie, ser. 2, no. 2, 1957, 35–50
[11] Ljunggren W., “On the Diophantine equation $Cx^2+D=2y^n$”, Math. Scand., 18 (1966), 69–86 ; http://www.mscand.dk/article.php?id=1772 | MR | Zbl
[12] Ljunggren W., “On the Diophantine equation $Ax^4-By^2=C$ ($C=1,4$)”, Math. Scand., 21 (1967), 149–158 ; http://www.mscand.dk/article.php?id=1845 | MR | Zbl
[13] Serpinskii V., Chto my znaem i chego ne znaem o prostykh chislakh, per. s polskogo, Fizmatgiz, M.–L., 1963
[14] Stepanova L. L., Izbrannye glavy elementarnoi teorii chisel, Prometei, M., 2001
[15] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1972 | MR
[16] Khinchin A. Ya., Tsepnye drobi, Gostekhizdat, M.–L., 1949
[17] Leng S., Vvedenie v teoriyu diofantovykh priblizhenii, per. s angl., Mir, M., 1970
[18] Devenport G., Multiplikativnaya teoriya chisel, per. s angl., Nauka, M., 1971 | MR
[19] Gelfond A. O., Analiticheskii metod otsenki chisla prostykh chisel v naturalnom ryade i arifmeticheskoi progressii, Prilozhenie redaktora perevoda k knige [6]
[20] Ribenboim P., “Rekordy prostykh chisel”, Uspekhi mat. nauk, 42:5 (1987), 119–176 | MR | Zbl
[21] Serr Zh.-P., Kurs arifmetiki, per. s fr., Mir, M., 1972 | MR | Zbl