Computational number theory,
polynomial equations,
polynomial systems of equations,
algebraic numbers.
Subject:
Number Theory
Main publications:
M.E.Zelenova, “Reshenie polinomialnykh uravnenii v pole algebraicheskikh chisel”, Vestnik Moskovskogo universiteta. Seriya 1. Matematika i mekhanika, 2014, № 1, 25–29
M. Zelenova, “Counting the order of the group of points of an elliptic curve over a finite field based on Shanks's algorithm”, P-Adic Numbers, Ultrametric Analysis, and Applications, 3:2 (2011), 157–164
M. E. Zelenova, “Solution of polynomial equations in arbitrary orders”, Chebyshevskii Sb., 16:2 (2015), 117–132
2.
M. E. Zelenova, “Solving Polynomial Systems in Integers”, Mat. Zametki, 98:3 (2015), 356–371; Math. Notes, 98:3 (2015), 399–413
2014
3.
M. E. Zelenova, “Solution of polynomial equations in the field of algebraic numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, no. 1, 25–29; Moscow University Mathematics Bulletin, 69:1 (2014), 24–28
Алгоритм Шенкса для эллиптических кривых M. E. Zelenova Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS February 24, 2011 11:00
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