Persons: Gashkov Sergey Borisovich, List of publications

RUS ENG

Full version

PEOPLE

Gashkov Sergey Borisovich

Publications

by years

scientific publications

by types




2025
1.	A. V. Vlasov, S. B. Gashkov, Mat. Zametki, 117:2 (2025) (to appear)

2023
2.	S. B. Gashkov, “Unsolvability of some problems on piecewise polynomial functions”, Moscow University Mathematics Bulletin, 78:3 (2023), 112–119
3.	S. B. Gashkov, Mat. Pros., 31, MCCME, Moscow, 2023, 128–165

2022
4.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, O. S. Dudakova, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, M. D. Kovalev, V. V. Kozlov, R. M. Kolpakov, V. V. Kochergin, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, N. P. Red'kin, V. A. Sadovnichii, I. N. Sergeev, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “90 years since the birthday of Academician Oleg Borisovich Lupanov (02.06.1932 – 03.05.2006)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2022, no. 3, 3–5
5.	A. I. Shafarevich, A. T. Fomenko, V. N. Chubarikov, A. O. Ivanov, V. G. Chirskii, V. I. Bernik, V. A. Bykovskii, A. I. Galochkin, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovolsky, N. N. Dobrovolsky, I. Yu. Rebrova, V. Kh. Salikhov, “Yuri Valentinovich Nesterenko (to the 75th anniversary)”, Chebyshevskii Sb., 23:1 (2022), 10–20

2021
6.	S. B. Gashkov, “Fast algorithms for solving equations of degree $\le4$ in some finite fields”, Moscow University Mathematics Bulletin, 76:3 (2021), 107–117
7.	S. B. Gashkov, O. S. Dudakova, M. D. Kovalev, R. M. Kolpakov, V. V. Kochergin, N. P. Red'kin, A. T. Fomenko, A. V. Chashkin, V. N. Chubarikov, A. I. Shafarevich, A. D. Yashunskii, “Oktay Muradoviсh Kasim-Zade (29.04.1953–22.12.2020)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 4, 60–63
8.	S. B. Gashkov, Mat. Pros., 27, MCCME, Moscow, 2021, 193–231
9.	V. V. Aleksandrov, S. B. Gashkov, D. V. Georgievskii, V. P. Karlikov, B. S. Kashin, G. M. Kobel'kov, V. V. Kozlov, T. P. Lukashenko, A. S. Mishchenko, Yu. V. Nesterenko, R. I. Nigmatulin, O. V. Popov, V. A. Sadovnichii, I. N. Sergeev, G. V. Fedorov, A. T. Fomenko, A. I. Shafarevich, A. N. Shiryaev, V. Ya. Shkadov, A. A. Shkalikov, “To 70-th anniversary of professor V. N. Chubarikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 69–71
10.	S. B. Gashkov, O. S. Dudakova, R. M. Kolpakov, V. V. Kochergin, N. A. Leontieva, N. P. Red'kin, A. V. Chashkin, V. N. Chubarikov, A. D. Yashunskii, “Aleksandr Borisovich Ugol'nikov (04.12.1951–19.07.2013)”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 6, 58–62
11.	A. I. Shafarevich, A. T. Fomenko, A. O. Ivanov, S. S. Demidov, S. B. Gashkov, A. I. Nizhnikov, A. A. Fomin, E. Deza, A. Ya. Kanel-Belov, N. M. Dobrovol'skii, N. N. Dobrovol'skii, I. Yu. Rebrova, “Vladimir Nikolaevich Chubarikov (to the 70th anniversary of his birth)”, Chebyshevskii Sb., 22:5 (2021), 5–15

2020
12.	S. B. Gashkov, I. S. Sergeev, “On the meaning of works by V. M. Khrapchenko”, Prikl. Diskr. Mat., 2020, no. 48, 109–124
13.	S. B. Gashkov, Mat. Pros., 25, MCCME, Moscow, 2020, 79–109
14.	S. B. Gashkov, I. S. Sergeev, “Multiplication”, Chebyshevskii Sb., 21:1 (2020), 101–134
15.	S. B. Gashkov, “A note on the fast computation of transitive closure of graphs and the multiplication of integer matrices”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 75:6 (2020), 239–245
16.	S. B. Gashkov, Mat. Pros., 26, MCCME, Moscow, 2020, 259–262

2019
17.	S. B. Gashkov, I. B. Gashkov, A. B. Frolov, “The complexity of solving low degree equations over ring of integers and residue rings”, Moscow University Mathematics Bulletin, 74:1 (2019), 5–13
18.	S. B. Gashkov, Mat. Pros., 23, MCCME, Moscow, 2019, 145–173

2018
19.	S. B. Gashkov, I. B. Gashkov, “Fast algorithm of square rooting in some odd characteгistic finite field”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 73:5 (2018), 176–181

2017
20.	S. B. Gashkov, Mat. Pros., 21, MCCME, Moscow, 2017, 145–185
21.	S. B. Gashkov, S. V. Kravtsev, Mat. Pros., 21, MCCME, Moscow, 2017, 87–103

2016
22.	S. B. Gashkov, “On the Application of Linear Positive Operators for Approximation of Functions”, Math. Notes, 100:5 (2016), 666–676
23.	S. B. Gashkov, I. S. Sergeev, “On the Additive Complexity of GCD and LCM Matrices”, Math. Notes, 100:2 (2016), 199–212

2015
24.	S. B. Gashkov, “Arithmetic Complexity of Certain Linear Transformations”, Math. Notes, 97:4 (2015), 531–555
25.	S. B. Gashkov, “Arithmetic complexity of the Stirling transforms”, Discrete Math. Appl., 25:2 (2015), 83–92

2014
26.	S. B. Gashkov, Mat. Pros., 18, MCCME, Moscow, 2014, 143–171
27.	S. B. Gashkov, E. T. Shavgulidze, “Representation of monomials as a sum of powers of linear forms”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 69:2 (2014), 51–55
28.	S. B. Gashkov, “The arithmetic computational complexity of linear transforms”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 69:6 (2014), 251–257

2013
29.	S. B. Gashkov, I. S. Sergeev, “On complexity and depth of Boolean circuits for multiplication and inversion over finite fields of characteristic 2”, Discrete Math. Appl., 23:1 (2013), 1–37
30.	S. B. Gashkov, Mat. Pros., 17, MCCME, Moscow, 2013, 152–161
31.	S. B. Gashkov, I. S. Sergeev, “Complexity of computation in finite fields”, J. Math. Sci., 191:5 (2013), 661–685

2012
32.	Ya. V. Vegner, S. B. Gashkov, “Realization of Boolean Functions by Formulas in Continuous Bases Containing a Continuum of Constants”, Math. Notes, 92:2 (2012), 166–175
33.	Ya. V. Vegner, S. B. Gashkov, “Complexity of Approximate Realizations of Lipschitz Functions by Schemes in Continuous Bases”, Math. Notes, 92:1 (2012), 23–38
34.	S. B. Gashkov, I. S. Sergeev, “A method for deriving lower bounds for the complexity of monotone arithmetic circuits computing real polynomials”, Sb. Math., 203:10 (2012), 1411–1447
35.	G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, S. M. Nikol'skii, V. A. Sadovnichii, “On the mathematical works of Vladimir Nikolaevich Chubarikov”, Diskr. Mat., 24:2 (2012), 4–20
36.	F. S. Avdeev, G. I. Arkhipov, S. B. Gashkov, N. M. Dobrovol'skii, B. S. Kashin, I. I. Mel'nikov, M. P. Mineev, Yu. V. Nesterenko, S. M. Nikol'skii, A. N. Parshin, V. P. Platonov, Yu. V. Prokhorov, V. A. Sadovnichii, A. T. Fomenko, V. G. Chirskii, “Vladimir Nikolaevich Chubarikov (on his 60th birthday)”, Russian Math. Surveys, 67:1 (2012), 189–193

2011
37.	S. B. Gashkov, Mat. Pros., 15, MCCME, Moscow, 2011, 138–153
38.	G. I. Arkhipov, S. B. Gashkov, M. P. Mineev, N. M. Dobrovol'skiǐ, “Vladimir Nikolaevich Chubarikov (on the occasion of his sixtieth birthday)”, Chebyshevskii Sb., 12:4 (2011), 4–14

2010
39.	S. B. Gashkov, I. S. Sergeev, “On the complexity of linear Boolean operators with thin matrixes”, Diskretn. Anal. Issled. Oper., 17:3 (2010), 3–18
40.	S. B. Gashkov, I. B. Gashkov, “Some remarks on testing irreducibility of polynomials and normality of bases in finite fields”, Fundamenta Informaticae, 104:3 (2010), 227–238 , Netherlands, Netherlands
41.	S. B. Gashkov, A. A. Bolotov, A. A. Burtsev, S. Yu. Zhebet, A. B. Frolov, “On hardware and software implementation of arithmetic in finite fields of characteristic 7 for calculation of pairings”, J. Math. Sci., 168:1 (2010), 49–75

2009
42.	S. B. Gashkov, Mat. Pros., 13, MCCME, Moscow, 2009, 104–126
43.	S. B. Gashkov, “Skhemnaya slozhnost nekotorykh zadach analiza i algebry”, Sovremennye problemy matematiki i mekhaniki, 3, 3, MGU, Moskva, 2009, 7–34
44.	S. B. Gashkov, I. S. Sergeev, “The complexity and depth of Boolean circuits for multiplication and inversion in some fields GF(2 n )”, Moscow University Mathematics Bulletin, 64:4 (2009), 139–143

2008
45.	S. B. Gashkov, M. I. Grinchuk, I. S. Sergeev, “Letter to the Editor”, Diskretn. Anal. Issled. Oper., 15:4 (2008), 92–93
46.	S. B. Gashkov, I. S. Sergeev, “On design of circuits of logarithmic depth for inversion in finite fields”, Discrete Math. Appl., 18:5 (2008), 483–504
47.	S. B. Gashkov, Mat. Pros., 12, MCCME, Moscow, 2008, 161–175
48.	S. B. Gashkov, I. S. Sergeev, “Bit-Parallel Circuits for Arithmetic in Finite Fields”, Boolean functions in cryptology and information security, 18, Amsterdam, Netherlands, 2008, 104–125
49.	Ya. V. Vegner, S. B. Gashkov, “O slozhnosti realizatsii bulevykh funktsii veschestvennymi formulami”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2008, no. 2, 47–49 , M., M.
50.	Ya. V. Vegner, S. B. Gashkov, “O slozhnosti priblizhënnoi realizatsii lipshitsevykh funktsii”, Vestnik Moskovskogo universiteta. Seriya 1: Matematika. Mekhanika, 2008, no. 4, 49–51 , M., M.

Full list of publications