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Research Output 1994 2019

2018

Analogue of the Hyodo Inequality for the Ramification Depth in Degree p 2 Extensions

Vostokov, S. V., Haustov, N. V., Zhukov, I. B., Ivanova, O. Y. & Afanas’eva, S. S., 1 Apr 2018, In : Vestnik St. Petersburg University: Mathematics. 51, 2, p. 114-123 10 p.

Research output

Ramification
Analogue
Cyclotomic
Valuation
Defects

Generalised Kawada–Satake method for Mackey functors in class field theory

Fesenko, I. B., Vostokov, S. V. & Yoon, S. H., 1 Sep 2018, In : European Journal of Mathematics. 4, 3, p. 953-987 35 p.

Research output

Mackey Functor
Class Field Theory
Pairing
Positive Characteristic
Reflexivity

Universal Approach to the Arithmetics of Formal Groups

Vostokov, S. V., Klimovitskii, I. L. & Pital’, P. N., 1 Jul 2018, In : Mathematical Notes. 104, 1-2, p. 204-209 6 p.

Research output

Isogeny
Formal Group
Ring
Coefficient
2017
1 Citation (Scopus)
Number theory
Local Field
Number field
Ramification
Hilbert
Bibliographies
Local Field
Hilbert
High-dimensional
Polynomials
1 Citation (Scopus)
Formal Group
Lorentz Group
Pairing
Hilbert
Local Field

ПОСТРОЕНИЕ ЧИСЛОВЫХ МНОЖЕСТВ

Орехов, А. В., Востоков, С. В. & Востокова, Р. П., 2017, Математика - это просто! Материалы конференции. Издательство «ВВМ», p. 28-45

Research output

2016
Formal Group
Local Field
Hilbert
Polynomials
Isogeny
1 Citation (Scopus)
Ramification
Module
Local Field
Isomorphism
Isomorphic
1 Citation (Scopus)

Encryption system using the explicit reciprocity law

Vostokov, S. V. & Vostokova, R. P., 9 Dec 2016, 2016 15th International Symposium on Problems of Redundancy in Information and Control Systems, REDUNDANCY 2016. Institute of Electrical and Electronics Engineers Inc., p. 175-176 2 p. 7779357

Research output

Authentication
Cryptography
2 Citations (Scopus)

Lutz filtration as a Galois module

Vostokov, S. & Nekrasov, I., 2016, In : Lobachevskii Journal of Mathematics. 37, 2, p. 215–222

Research output

Regular formal modules in one-dimensional local fields

Vlassiev, S. M., Vostokov, S. V. & Gorshkov, A. A., 1 Oct 2016, In : Vestnik St. Petersburg University: Mathematics. 49, 4, p. 313-319 7 p.

Research output

Formal Group
Local Field
Isogeny
Module
Ramification
1 Citation (Scopus)
Levenberg-Marquardt
Galois
Formal Group Law
Ring
Module
2015
1 Citation (Scopus)
Formal Group
Hilbert
Polynomials
Isogeny
Module
1 Citation (Scopus)

Pairings in Local Fields and Cryptography

Vostokov, S. V. & Vostokova, E. S., 2015, In : Lobachevskii Journal of Mathematics. 36, 4, p. 319-327

Research output

31 Citations (Scopus)

Skew symmetric pairing on Lubin-Tate formal modules

Ivanov, M. & Vostokov, S., 2015, Arithmetic and Geometry. Cambridge University Press, p. 535 стр., 255-263

Research output

The skew-symmetric pairing on the lubin–tate formal module

Ivanov, M. A. & Vostokov, S. V., 2015, Arithmetic and Geometry. p. 255-263

Research output

Local Field
Pairing
Skew
Module
Hilbert
2013
1 Citation (Scopus)

Primary elements in formal modules

Vostokov, S. V. & Klimovitskii, I. L., 2013, In : Proceedings of the Steklov Institute of Mathematics. 282, 1, p. 140-149

Research output

2 Citations (Scopus)
1 Citation (Scopus)

The Hilbert Symbol of Polynomial Formal Groups

Vostokov, S. V., Volkov, V. V. & Pak, G. K., 2013, In : Journal of Mathematical Sciences. 192, 2, p. 196-199

Research output

Алексей Николаевич Паршин (к семидесятилетию со дня рождения)

Востоков, С. В., Горчинский, С. О., Жеглов, А. Б., Зархин, Ю. Г., Нестеренко, Ю. В., Орлов, Д. О., Осипов, Д. В., Попов, В. Л., Сергеев, А. Г. & Шафаревич, И. Р., 2013, In : УСПЕХИ МАТЕМАТИЧЕСКИХ НАУК. 68, 1 (409), p. 201-207

Research output

2012
Reciprocity Law
Bibliographies
Formal Group
Norm
Industry