01.01.06 (Mathematical logic, algebra, and number theory)
Main publications:
Sbornik zadach po teorii chisel / O. N. Vasilenko, A. I. Galochkin; Mosk. gos. un-t im. M. V. Lomonosova. - Moskva : Izd-vo Mosk. un-ta, 1995. - 126 s.; 22 sm. - (Matematika).; ISBN 5-211-03261-6
Sbornik zadach vstupitelnykh ekzamenov po matematike / A. S. Zelenskii, O. N. Vasilenko. - Moskva : NTTs "Universitetskii", 2001. - 541 s. : il.; 21 sm. - (Matematika).; ISBN 5-7953-0075-6
Teoretiko-chislovye algoritmy v kriptografii. - Moskva : MTsNMO, 2014. - 334 s.; ISBN 978-5-4439-2011-5
O. N. Vasilenko, “Point multiplication on elliptic curves over finite fields using many-base number systems and new types of coordinates”, Mat. Vopr. Kriptogr., 2:1 (2011), 5–28
O. N. Vasilenko, “On, algorithmic constructions of isogenies of elliptic curves over finite fields and their applications”, Mat. Vopr. Kriptogr., 1:1 (2010), 7–22
2008
3.
O. N. Vasilenko, “New methods of computing the multipe of a point on an elliptic curve over finite field”, Tr. Diskr. Mat., 11:2 (2008), 5–30
O. N. Vasilenko, “On the computation of Weil and Tate pairings”, Tr. Diskr. Mat., 10 (2007), 18–46
2006
5.
O. N. Vasilenko, “On the computation of the order of the elliptic curve group over finite field”, Tr. Diskr. Mat., 9 (2006), 32–50
2004
6.
O. N. Vasilenko, “Some identities for trigomometrical Gauss sums and their applications”, Tr. Diskr. Mat., 8 (2004), 69–78
2003
7.
O. N. Vasilenko, “On some properties of prime factorisations of integers”, Tr. Diskr. Mat., 7 (2003), 22–30
2002
8.
O. N. Vasilenko, “On the solvability of the discrete logarithm problem in residue classes”, Fundam. Prikl. Mat., 8:3 (2002), 647–653
2001
9.
O. N. Vasilenko, “Application of the method of trigonometric sums for primality testing of integers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 5, 49–51
2000
10.
O. N. Vasilenko, “On discrete logarithmization in some groups”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 5, 53–55
O. N. Vasilenko, “On some properties of Fermat numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 5, 56–58
1997
13.
O. N. Vasilenko, “Some algorithms for constructing large prime numbers”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 5, 62–64
14.
O. N. Vasilenko, “On the approximation of differences of dilogarithms and their values at rational points”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 1, 10–12
1993
15.
O. N. Vasilenko, “On a construction of Diophantine approximations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1993, no. 5, 14–17
1991
16.
O. N. Vasilenko, “On a relationship between approximation of exponentials and approximation of $\psi$-functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 3, 57–58
1985
17.
O. N. Vasilenko, “Linear independence of values of certain hypergeometric functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 5, 34–37
18.
O. N. Vasilenko, “Irrationality of the values of the Gauss hypergeometric function”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 3, 15–18
19.
O. N. Vasilenko, “Arithmetic properties of values of polylogarithms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 1, 42–45
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