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@article{MZM_2015_98_3_a3, author = {M. E. Zelenova}, title = {Solving {Polynomial} {Systems} in {Integers}}, journal = {Matemati\v{c}eskie zametki}, pages = {356--371}, publisher = {mathdoc}, volume = {98}, number = {3}, year = {2015}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a3/} }
M. E. Zelenova. Solving Polynomial Systems in Integers. Matematičeskie zametki, Tome 98 (2015) no. 3, pp. 356-371. http://geodesic.mathdoc.fr/item/MZM_2015_98_3_a3/
[1] Yu. V. Nesterenko, Teoriya chisel, Vysshee professionalnoe obrazovanie, Akademiya, M., 2008 | Zbl
[2] A. K. Lenstra, H. W. Lenstra, Jr., L. Lovász, “Factoring polynomials with rational coefficients”, Math. Ann., 261:4 (1982), 515–534 | DOI | MR | Zbl
[3] M. E. Zelenova, “Reshenie polinomialnykh uravnenii v pole algebraicheskikh chisel”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 2014, no. 1, 25–29 | MR
[4] J. D. Dixon, “Exact solution of linear equations using $p$-adic expansions”, Numer. Math., 40:1 (1982), 137–141 | DOI | MR | Zbl
[5] Yu. V. Nesterenko, Algebraic Independence, Narosa Publ. House, New Delhi, 2009 | MR | Zbl
[6] O. Zarisskii, P. Samyuel, Kommutativnaya algebra, T. 2, IL, M., 1963 | MR | Zbl
[7] Yu. V. Nesterenko, “O mere algebraicheskoi nezavisimosti znachenii nekotorykh funktsii”, Matem. sb., 128:4 (1985), 545–568 | MR | Zbl
[8] A. Ya. Khinchin, Tsepnye drobi, GIFML, M., 1960 | MR | Zbl
[9] V. A. Zorich, Matematicheskii analiz, Ch. 1, FAZIS, M., 1997 | MR | Zbl
[10] L. Bettale, J.-C. Faugère, L. Perret, “Solving polynomial systems over finite fields: improved analysis of the hybrid approach”, Proc. of the 37th International Symposium on Symbolic and Algebraic Computation, ACM, New York, 2012, 67–74 | MR | Zbl