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@article{IVM_2020_7_a4, author = {I. G. Galyautdinov and E. E. Lavrentyeva}, title = {Diophantine equation generated by the maximal subfield of a circular field}, journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika}, pages = {45--55}, publisher = {mathdoc}, number = {7}, year = {2020}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/IVM_2020_7_a4/} }
TY - JOUR AU - I. G. Galyautdinov AU - E. E. Lavrentyeva TI - Diophantine equation generated by the maximal subfield of a circular field JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2020 SP - 45 EP - 55 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2020_7_a4/ LA - ru ID - IVM_2020_7_a4 ER -
I. G. Galyautdinov; E. E. Lavrentyeva. Diophantine equation generated by the maximal subfield of a circular field. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2020), pp. 45-55. http://geodesic.mathdoc.fr/item/IVM_2020_7_a4/
[1] Borevich Z. I., Shafarevich I. R., Teoriya chisel, Nauka, M., 1985 | MR
[2] Edward J. Barbeau, Pell's Equation, Springer-Verlag, New York, 2003 | MR | Zbl
[3] Hambleton S. A., Williams H. C., Cubic Fields with Geometry, Springer International Publishing, 2018 | MR | Zbl
[4] Van der Varden, Algebra, Nauka, M., 1976 | MR
[5] Kostrikin A. I., Vvedenie v algebru, v. III, Fizmatlit, M., 2001
[6] Burbaki N., Mnogochleny i polya. Uporyadochennye gruppy, Nauka, M., 1965
[7] Prasolov V. V., Mnogochleny, MTsIMO, 2003
[8] Galyautdinov I. G., Lavrenteva E. E., “Mnogochleny, porozhdayuschie maksimalnye veschestvennye podpolya krugovykh polei”, Uchen. zap. Kazansk. un-ta., Ser. Fiz.-matem. nauki, 158:4 (2016), 469–481 | MR
[9] Alaca S., Williams K. S., Introductory algebraic number theory, Cambridge Univ. Press, 2004 | MR | Zbl
[10] Aierlend K., Rouzen M., Klassicheskoe vvedenie v sovremennuyu teoriyu chisel, Mir, M., 1987 | MR
[11] Marcus D. A., Number fields, Springer-Verlag, New York, 2018 | MR | Zbl
[12] Huard J. G., Spearman B. K., Williams K. S., “The primes for which an abelian cubic splits”, J. Math. Tokyo, 17 (1994) | DOI | MR | Zbl
[13] Galyautdinov I. G., Lavrentyeva E. E., “Normal basis of the maximal real subfield of a circular field”, Lobachevskii J. Math., 40:5 (2019), 630–639 | DOI | MR | Zbl