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Matematicheskie Zametki, 2015, Volume 98, Issue 3, Pages 356–371
DOI: https://doi.org/10.4213/mzm10545 (Mi mzm10545) 		 
Solving Polynomial Systems in Integers

M. E. Zelenova

Lomonosov Moscow State University
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DOI: https://doi.org/10.4213/mzm10545
Abstract: The paper describes a method for determining integer solutions of a homogeneous polynomial system with integer coefficients which has finitely many solutions in the projective space over the field of complex numbers under the assumption that these solutions have a certain property.
Keywords: homogeneous polynomial system, integer solution, lifting algorithm.
Received: 17.07.2014
Revised: 07.04.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 3, Pages 399–413
DOI: https://doi.org/10.1134/S0001434615090059
Bibliographic databases:
Document Type: Article
UDC: 511.2
Language: Russian
Citation: M. E. Zelenova, “Solving Polynomial Systems in Integers”, Mat. Zametki, 98:3 (2015), 356–371; Math. Notes, 98:3 (2015), 399–413
Citation in format AMSBIB
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