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Research Output 1994 2019

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

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

2012
Reciprocity Law
Bibliographies
Formal Group
Norm
Industry
2010

Artin-Hasse functions and their invertions in local fields

Valtman, V. & Vostokov, S., 2010, In : Documenta Mathematica. 5: Extra volume A. A. Suslin's 60th Birthday, p. 655-660

Research output

Formal Group
Pairing
Hilbert
Polynomial
Local Field
2009

On a paper of Hasse concerning the Eisenstein reciprocity law

Vostokov, S. V., Ivanov, M. A. & Pak, G. K., 2009, In : Journal of Mathematical Sciences. 161, 4, p. 525-529

Research output

Reciprocity Law
Cyclotomic Fields
Continuation
Equality
Necessary Conditions