Sergei Vostokov
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Russian mathematician
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Mathematics
Why Is Sergei Vostokov Influential?
(Suggest an Edit or Addition)According to Wikipedia, Sergei Vladimirovich Vostokov is a Russian mathematician. He made major contributions to local number theory. He is a professor at St. Petersburg State University. Work Vostokov developed an important class of explicit formulas for the Hilbert symbol on local fields, which have a wide range of applications in number theory.
Sergei Vostokov's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- a Norm Pairing in Formal Modules (1980) (38)
- Explicit Form of the Law of Reciprocity (1979) (33)
- EXPLICIT CONSTRUCTION OF CLASS FIELD THEORY FOR A MULTIDIMENSIONAL LOCAL FIELD (1986) (32)
- SYMBOLS ON FORMAL GROUPS (1982) (24)
- An explicit classification of formal groups over local fields (2003) (17)
- Explicit formulas for the Hilbert symbol (2000) (16)
- Ideals of an abelian p-extension of a local field as Galois modules (1979) (14)
- The Hilbert symbol for Lubin-Tate formal groups. I (1984) (14)
- Algebraic number theory and algebraic geometry : papers dedicated to A.N. Parshin on the occasion of his sixtieth birthday (2002) (10)
- Hilbert symbol in a discrete valuated field (1982) (10)
- An Explicit Formula of the Hilbert Pairing for Honda Formal Groups (2003) (9)
- The Lubin–Tate Formal Module in a Cyclic Unramified P-Extension as a Galois Module (2016) (9)
- An explicit form of the Hilbert pairing for the relative formal Lubin-Tate groups (1998) (9)
- Primary elements in formal modules (2013) (7)
- On Torsion Theories, Weight and t-Structures in Triangulated Categories (2019) (7)
- The Hilbert Symbol in a Complete Multidimensional Field. I (2004) (6)
- Ideals of an Abelian p -extension of an irregular local field as Galois modules (1978) (6)
- The Hilbert Symbol of Polynomial Formal Groups (2013) (6)
- The Hensel-Shafarevich canonical basis in complete discrete valuation fields (2013) (6)
- An explicit formula for the Hilbert symbol for Honda groups in a multidimensional local field (2003) (5)
- Normed pairing in a two-dimensional local field (1985) (5)
- Extensions with Almost Maximal Depth of Ramification (2002) (5)
- The classical reciprocity law for power residues as an analog of the Abelian integral theorem (2009) (5)
- A certain property of the Hilbert pairing (1988) (5)
- The Kneser relation and the Hilbert pairing in multidimensional local field (2007) (5)
- Del Pezzo Surfaces of Degree 2 and Jacobians without Complex Multiplication (2006) (5)
- Norm Series for Lubin–Tate Formal Groups (2004) (4)
- Ring of integers in an extension of prime degree of a local field as a Galois module (1976) (4)
- Invitation to higher local fields, Part I, section 8: Explicit formulas for the Hilbert symbol (2000) (4)
- Hilbert symbol for Lubin-Tate formal groups. II (1985) (4)
- The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin−Tate Groups (2013) (4)
- Arithmetic of the module of roots of the isogeny of a formal group in the case of small ramification (2007) (4)
- Shafarevich's paper “A general reciprocity law” (2013) (4)
- On P-Extensions of Multidimensional Local Fields (2009) (3)
- The Hensel-Shafarevich canonical basis in complete discrete valuation fields (2013) (3)
- A relationship between the Hilbert and Witt symbols (1998) (3)
- Generalization and application of the Eisenstein reciprocity law (2008) (3)
- Lutz filtration as a Galois module (2016) (3)
- Explicit form of the Hilbert symbol for polynomial formal groups (2015) (3)
- On two approaches to classification of higher local fields (2019) (3)
- Canonical decomposition in the group of points of a formal Lubin-Tate group (1984) (3)
- Normal basis for an ideal in a local ring (1981) (3)
- The Hilbert pairing for formal groups over σ-rings (2006) (3)
- The Hilbert Symbol in Higher-Dimensional Local Fields for Formal Lubin−Tate Groups (2013) (3)
- Hilbert pairing on Lorentz formal groups (2017) (2)
- Regular formal modules in one-dimensional local fields (2016) (2)
- The hearts of weight structures are the weakly idempotent complete categories (2020) (2)
- Variations on the theme of D. K. Faddeev’s paper “An explicit form of the Kummer–Takagi reciprocity law” (2008) (2)
- Decomposition of ideals in Abelianp-extensions of complete, discretely valuated fields (1999) (2)
- Generalised Kawada–Satake method for Mackey functors in class field theory (2018) (2)
- Explicit constructions and the arithmetic of local number fields (2017) (2)
- Application of explicit Hilbert's pairing to constructive class field theory and cryptography (2016) (2)
- AN ORTHOGONAL BASIS OF A LOCAL FIELD (1973) (2)
- An Explicit Form of the Hilbert Symbol for Polynomial Formal Groups Over a Multidimensional Local Field. I (2016) (2)
- Pairings in local fields and cryptography (2015) (2)
- The ring of integers of an Abelian extension of an algebraic number field as a Galois module (1982) (1)
- Degree of Irregularity and Regular Formal Modules in Local Fields (2020) (1)
- On Weakly Negative Subcategories, Weight Structures, and (Weakly) Approximable Triangulated Categories (2019) (1)
- Honda formal group in unramified p-extension of local field as Galois module (2018) (1)
- Hilbert pairing on Lorentz formal group (2017) (1)
- Kurihara Invariants and Elimination of Wild Ramification (2022) (1)
- The Lutz filtration as a Galois module in an extension without higher ramification (1990) (1)
- The second factor in the reciprocity law (1987) (1)
- Galois structure for abelian p-extensions of Dedekind domains (1999) (1)
- Arithmetic of a group of points of a formal group (1993) (1)
- Norm Series in High-Dimensional Local Fields (2005) (1)
- On Torsion Theories, Weight and t-Structures in Triangulated Categories (2019) (1)
- Hilbert pairing for the polynomial formal groups (2010) (1)
- Hilbert pairing on Lorentz formal groups (2017) (0)
- Celebration of Leonhard Euler's 300th birthday (2007) (0)
- Cohomology of Formal Modules over Local Fields (2019) (0)
- Analogue of the Hyodo Inequality for the Ramification Depth in Degree p2 Extensions (2018) (0)
- Pairings in local fields and cryptography (2015) (0)
- The Hilbert Symbol of Polynomial Formal Groups (2013) (0)
- Analogue of the Chiodo inequality for the ramification depth in the case of degree p2 extensions (2018) (0)
- Explicit constructions and the arithmetic of local number fields (2017) (0)
- Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module (2018) (0)
- The arithmetic of the Lubin–Tate formal module in a multidimensional complete field (2015) (0)
- Skew-symmetric pairing on polynomial formal modules (2017) (0)
- Cohomology of Formal Modules over Local Fields (2019) (0)
- Formal Groups over Sub-Rings of the Ring of Integers of a Multidimensional Local Field (2019) (0)
- Honda Formal Module in an Unramified p-Extension of a Local Field as a Galois Module (2018) (0)
- Calculations in the Generalized Lubin–Tate Theory (2020) (0)
- Harmony in algebra (2007) (0)
- Analogue of the Hyodo Inequality for the Ramification Depth in Degree p2 Extensions (2018) (0)
- An Explicit Form of the Hilbert Symbol for Polynomial Formal Groups Over a Multidimensional Local Field. I (2016) (0)
- Product of p-power residues as an abelian integral∗ (2010) (0)
- International mathematical congress devoted to the 300th anniversary of Leonhard Euler's birth (2007) (0)
- On a paper of Hasse concerning the Eisenstein reciprocity law (2009) (0)
- Generalised Kawada–Satake method for Mackey functors in class field theory (2018) (0)
- Skew-symmetric pairing on polynomial formal modules (2017) (0)
- WITHOUT HIGHER RAMIFICATION (1990) (0)
- Distinguished isogenies for formal groups in local fields with small ramification (2007) (0)
- Torsion Points of Generalized Honda Formal Groups (2020) (0)
- Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II (2017) (0)
- Galois modules in a multidimensional local field (1993) (0)
- Higher Criteria for the Regularity of a One-Dimensional Local Field (2022) (0)
- An effective construction is given for a normal ideal basis (when it exists) in local number field extensions with higher ramification. (1981) (0)
- Computation of the number of representations of the elements of the fieldGF(p) as a sum oflth powers (1999) (0)
- Aleksei Nikolaevich Parshin (on his 70th birthday) (2013) (0)
- On an Asymptotic Property of Divisor τ-Function (2018) (0)
- Lutz filtration as a Galois module (2016) (0)
- Formal Groups over Sub-Rings of the Ring of Integers of a Multidimensional Local Field (2019) (0)
- On an Asymptotic Property of Divisor τ-Function (2018) (0)
- JW-FACTORS AND ANTIAUTOMORPHISMS OF VON NEUMANN ALGEBRAS (2017) (0)
- Universal Approach to the Arithmetics of Formal Groups (2018) (0)
- Lubin-Tate extensions and Carlitz module over a projective line: an explicit connection (2021) (0)
- Classification of Formal A-Modules in the Case of Small Ramification (2016) (0)
- The Lubin–Tate Formal Module in a Cyclic Unramified P-Extension as a Galois Module (2016) (0)
- Leonhard Euler Congress, June 10-12, 2007, St. Petersburg (2007) (0)
- Regular formal modules in local fields and irregularly degree (2020) (0)
- Calculations in the Generalized Lubin–Tate Theory (2020) (0)
- Norm property of Hilbert pairing (1991) (0)
- The Eisenstein reciprocity law for formal Lubin–Tate groups (2012) (0)
- Degeneration of the Hilbert pairing in formal groups over local fields (2016) (0)
- Regular formal modules in one-dimensional local fields (2016) (0)
- Classification of Formal A-Modules in the Case of Small Ramification (2016) (0)
- NORMALIZER OF THE CHEVALLEY GROUP OF TYPE E7 ALEXANDER LUZGAREV AND NIKOLAI VAVILOV To St. Petersburg remarkable algebraist (2016) (0)
- Universal Approach to the Arithmetics of Formal Groups (2018) (0)
- On Weakly Negative Subcategories, Weight Structures, and (Weakly) Approximable Triangulated Categories (2020) (0)
- The Eisenstein reciprocity law for formal Lubin–Tate groups (2011) (0)
- Scalar restriction for formal groups (2006) (0)
- Killing Weights from the Perspective of $t$-Structures (2021) (0)
- Primary elements in formal modules (2013) (0)
- Calculations in generalised Lubin—Tate theory (2020) (0)
- Hilbert symbol in an extension of the field of 2-adic numbers (1984) (0)
- Алексей Николаевич Паршин (к семидесятилетию со дня рождения)@@@Aleksei Nikolaevich Parshin (on his 70th birthday) (2013) (0)
- Arithmetic and Geometry: The skew-symmetric pairing on the Lubin–Tate formal module (2015) (0)
- Honda formal group as Galois module in unramified extensions of local fields (2018) (0)
- Explicit Form of the Hilbert Symbol on Polynomial Formal Module for Multidimensional Local Field. II (2017) (0)
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