×

zbMATH — the first resource for mathematics

Tsikh, Avgust Karlovich

Compute Distance To:
Author ID: tsikh.avgust-k Recent zbMATH articles by "Tsikh, Avgust Karlovich"
Published as: Tsikh, A. K.; Tsikh, August; Tsikh, Avgust K.; Tsikh, A.
External Links: MGP
Documents Indexed: 72 Publications since 1975, including 4 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 405 times in 260 Documents Cited by Year
Laurent determinants and arrangements of hyperplane amoebas. Zbl 1002.32018
Forsberg, Mikael; Passare, Mikael; Tsikh, August
63
2000
Multidimensional residues and their applications. Transl. from the Russian by E. J. F. Primrose. Transl. edited by S. Gelfand. Zbl 0758.32001
Tsikh, A. K.
49
1992
Residue currents of the Bochner-Martinelli type. Zbl 0964.32003
Passare, Mikael; Tsikh, August; Yger, Alain
39
2000
Amoebas: their spines and their contours. Zbl 1079.32008
Passare, Mikael; Tsikh, August
28
2005
Singularities of hypergeometric functions in several variables. Zbl 1080.33012
Passare, Mikael; Sadykov, Timur; Tsikh, August
25
2005
Studying the multiple Mellin–Barnes integrals by means of multidimensional residues. Zbl 0944.32003
Zhdanov, O. N.; Tsikh, A. K.
21
1998
Algebraic equations and hypergeometric series. Zbl 1109.33017
Passare, Mikael; Tsikh, August
14
2004
Residue integrals and their Mellin transforms. Zbl 0855.44005
Passare, Mikael; Tsikh, August
13
1995
Multidimensional versions of Poincaré’s theorem for difference equations. Zbl 1159.39003
Leinartas, E. K.; Passare, M.; Tsikh, A. K.
10
2008
A multidimensional Jordan residue lemma with an application to Mellin- Barnes integrals. Zbl 0832.32011
Passare, Mikael; Tsikh, August; Zhdanov, Oleg
10
1994
Conditions for absolute convergence of the Taylor coefficient series of a meromorphic function of two variables. Zbl 0774.32004
Tsikh, A. K.
10
1993
Residual kernels with singularities on coordinate planes. Zbl 1351.32010
Shchuplev, A.; Tsikh, A.; Yger, A.
10
2006
Multivariate residues and their applications. (Mnogomernye vychety i ikh primeneniya). Ed. by A. P. Yuzhakov. (Mnogomernye vychety i ikh primeneniya.) Zbl 0668.32001
Tsikh, A. K.
9
1988
Leray residue theory and Barlet forms on a singular complete intersection. (Théorie des résidus de Leray et formes de Barlet sur une intersection complète singulière.) Zbl 0999.32003
Aleksandrov, Aleksandr G.; Tsikh, Avgust K.
9
2001
The discriminant locus of a system of \( n\) Laurent polynomials in \( n\) variables. Zbl 1254.32012
Antipova, I. A.; Tsikh, A. K.
9
2012
Residue currents. Zbl 1070.32003
Tsikh, August; Yger, Alain
9
2004
Defining the residue of a complete intersection. Zbl 0855.32004
Passare, Mikael; Tsikh, August
8
1996
Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli. Zbl 0957.32006
Passare, M.; Tsikh, A. K.; Cheshel, A. A.
7
1996
Amoebas of complex hypersurfaces in statistical thermodynamics. Zbl 1281.82010
Passare, Mikael; Pochekutov, Dmitry; Tsikh, August
7
2013
Integration of rational functions over \(\mathbb{R}^ n\) by means of toric compactifications and multidimensional residues. Zbl 0876.32002
Ermolaeva, T. O.; Tsikh, A. K.
6
1996
On amoebas of algebraic sets of higher codimension. Zbl 1312.14135
Bushueva, N. A.; Tsikh, A. K.
6
2012
On singularities of the parametric Grothendieck residue and diagonals of a double power series. Zbl 0561.32001
Safonov, K. V.; Tsikh, A. K.
5
1984
Weakly holomorphic functions on complete intersections, and their holomorphic extension. Zbl 0678.32008
Tsikh, A. K.
4
1988
Singular strata of cuspidal type for the classical discriminant. Zbl 1327.14228
Mikhalkin, E. N.; Tsikh, A. K.
4
2015
On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functions. Zbl 0876.32004
Trutnev, V. M.; Tsikh, A. K.
3
1995
Use of residues to compute the sum of the squares of the Taylor coefficients of a rational function of two variables. Zbl 0709.32006
Tsikh, A. K.
2
1990
Multidimensional residues and their applications. Zbl 0613.32002
Yuzhanov, A. P.; Ajzenberg, L. A.; Tsikh, A. K.
2
1985
Asymptotics of multidimensional difference equations. Zbl 1138.39009
Leinartas, E. K.; Passare, M.; Tsikh, A. K.
2
2005
Integral representations in linearly convex polyhedra. Zbl 1224.32006
Krivokolesko, V. P.; Tsikh, A. K.
2
2005
Properties of the complete sum of residues with respect to a polynomial mapping and their applications. Zbl 0561.32003
Tsikh, A. K.; Yuzhakov, A. P.
2
1984
Cycles separating zeros of analytic functions in \(\mathbb{C}^n\). Zbl 0332.32001
Tsikh, A. K.
2
1976
On connections between the local structure of holomorphic mappings, multidimensional residues, and generalized Mellin transforms. Zbl 0793.32010
Passare, M.; Tsikh, A.
2
1992
Multidimensional residues and applications. Zbl 0787.32010
Aizenberg, L. A.; Tsikh, A. K.; Yuzhakov, A. P.
2
1985
Über die Zyklen, die die Nullstellen analytischer Funktionen im \(\mathbb{C}^n\) trennen. Zbl 0324.32002
Tsikh, A. K.
2
1975
Local residues in \({\mathbb{C}}^ n\). Algebraic applications. Zbl 0569.32002
Tsikh, A. K.
1
1985
Criteria for representability of integrals over cycles in terms of Grothendieck residues. Some applications. Zbl 0587.32006
Tsikh, A. K.
1
1984
The Bezout theorem in the space of the theory of functions. On the solution of a system of algebraic equations. Zbl 0506.14045
Tsikh, A. K.
1
1980
Conditions for the absolute convergence of a series of Taylor coefficients of meromorphic functions of two variables. Zbl 0743.32005
Tsikh, A. K.
1
1991
Homology reduction of cycles in the complement of an algebraic hypersurface. Zbl 0865.32004
Buruchenko, N. A.; Tsikh, A. K.
1
1995
The multiplicity of zero of a system of holomorphic functions. Zbl 0412.32003
Yuzhakov, A. N.; Tsikh, A. K.
1
1979
On application of the multidimensional logarithmic residue to systems of nonlinear algebraic equations. Zbl 0445.32003
Ajzenberg, L. A.; Tsikh, A. K.
1
1979
Application of multidimensional logarithmic residue to systems of nonlinear algebraic equations. Zbl 0452.32002
Ajzenberg, L. A.; Tsikh, A. K.
1
1980
Integral representations and residues (according to results of the Krasnoyarsk school). Zbl 1045.32006
Kytmanov, A. M.; Tsikh, A. K.
1
2001
Singular strata of cuspidal type for the classical discriminant. Zbl 1327.14228
Mikhalkin, E. N.; Tsikh, A. K.
4
2015
Amoebas of complex hypersurfaces in statistical thermodynamics. Zbl 1281.82010
Passare, Mikael; Pochekutov, Dmitry; Tsikh, August
7
2013
The discriminant locus of a system of \( n\) Laurent polynomials in \( n\) variables. Zbl 1254.32012
Antipova, I. A.; Tsikh, A. K.
9
2012
On amoebas of algebraic sets of higher codimension. Zbl 1312.14135
Bushueva, N. A.; Tsikh, A. K.
6
2012
Multidimensional versions of Poincaré’s theorem for difference equations. Zbl 1159.39003
Leinartas, E. K.; Passare, M.; Tsikh, A. K.
10
2008
Residual kernels with singularities on coordinate planes. Zbl 1351.32010
Shchuplev, A.; Tsikh, A.; Yger, A.
10
2006
Amoebas: their spines and their contours. Zbl 1079.32008
Passare, Mikael; Tsikh, August
28
2005
Singularities of hypergeometric functions in several variables. Zbl 1080.33012
Passare, Mikael; Sadykov, Timur; Tsikh, August
25
2005
Asymptotics of multidimensional difference equations. Zbl 1138.39009
Leinartas, E. K.; Passare, M.; Tsikh, A. K.
2
2005
Integral representations in linearly convex polyhedra. Zbl 1224.32006
Krivokolesko, V. P.; Tsikh, A. K.
2
2005
Algebraic equations and hypergeometric series. Zbl 1109.33017
Passare, Mikael; Tsikh, August
14
2004
Residue currents. Zbl 1070.32003
Tsikh, August; Yger, Alain
9
2004
Leray residue theory and Barlet forms on a singular complete intersection. (Théorie des résidus de Leray et formes de Barlet sur une intersection complète singulière.) Zbl 0999.32003
Aleksandrov, Aleksandr G.; Tsikh, Avgust K.
9
2001
Integral representations and residues (according to results of the Krasnoyarsk school). Zbl 1045.32006
Kytmanov, A. M.; Tsikh, A. K.
1
2001
Laurent determinants and arrangements of hyperplane amoebas. Zbl 1002.32018
Forsberg, Mikael; Passare, Mikael; Tsikh, August
63
2000
Residue currents of the Bochner-Martinelli type. Zbl 0964.32003
Passare, Mikael; Tsikh, August; Yger, Alain
39
2000
Studying the multiple Mellin–Barnes integrals by means of multidimensional residues. Zbl 0944.32003
Zhdanov, O. N.; Tsikh, A. K.
21
1998
Defining the residue of a complete intersection. Zbl 0855.32004
Passare, Mikael; Tsikh, August
8
1996
Multiple Mellin-Barnes integrals as periods of Calabi-Yau manifolds with several moduli. Zbl 0957.32006
Passare, M.; Tsikh, A. K.; Cheshel, A. A.
7
1996
Integration of rational functions over \(\mathbb{R}^ n\) by means of toric compactifications and multidimensional residues. Zbl 0876.32002
Ermolaeva, T. O.; Tsikh, A. K.
6
1996
Residue integrals and their Mellin transforms. Zbl 0855.44005
Passare, Mikael; Tsikh, August
13
1995
On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functions. Zbl 0876.32004
Trutnev, V. M.; Tsikh, A. K.
3
1995
Homology reduction of cycles in the complement of an algebraic hypersurface. Zbl 0865.32004
Buruchenko, N. A.; Tsikh, A. K.
1
1995
A multidimensional Jordan residue lemma with an application to Mellin- Barnes integrals. Zbl 0832.32011
Passare, Mikael; Tsikh, August; Zhdanov, Oleg
10
1994
Conditions for absolute convergence of the Taylor coefficient series of a meromorphic function of two variables. Zbl 0774.32004
Tsikh, A. K.
10
1993
Multidimensional residues and their applications. Transl. from the Russian by E. J. F. Primrose. Transl. edited by S. Gelfand. Zbl 0758.32001
Tsikh, A. K.
49
1992
On connections between the local structure of holomorphic mappings, multidimensional residues, and generalized Mellin transforms. Zbl 0793.32010
Passare, M.; Tsikh, A.
2
1992
Conditions for the absolute convergence of a series of Taylor coefficients of meromorphic functions of two variables. Zbl 0743.32005
Tsikh, A. K.
1
1991
Use of residues to compute the sum of the squares of the Taylor coefficients of a rational function of two variables. Zbl 0709.32006
Tsikh, A. K.
2
1990
Multivariate residues and their applications. (Mnogomernye vychety i ikh primeneniya). Ed. by A. P. Yuzhakov. (Mnogomernye vychety i ikh primeneniya.) Zbl 0668.32001
Tsikh, A. K.
9
1988
Weakly holomorphic functions on complete intersections, and their holomorphic extension. Zbl 0678.32008
Tsikh, A. K.
4
1988
Multidimensional residues and their applications. Zbl 0613.32002
Yuzhanov, A. P.; Ajzenberg, L. A.; Tsikh, A. K.
2
1985
Multidimensional residues and applications. Zbl 0787.32010
Aizenberg, L. A.; Tsikh, A. K.; Yuzhakov, A. P.
2
1985
Local residues in \({\mathbb{C}}^ n\). Algebraic applications. Zbl 0569.32002
Tsikh, A. K.
1
1985
On singularities of the parametric Grothendieck residue and diagonals of a double power series. Zbl 0561.32001
Safonov, K. V.; Tsikh, A. K.
5
1984
Properties of the complete sum of residues with respect to a polynomial mapping and their applications. Zbl 0561.32003
Tsikh, A. K.; Yuzhakov, A. P.
2
1984
Criteria for representability of integrals over cycles in terms of Grothendieck residues. Some applications. Zbl 0587.32006
Tsikh, A. K.
1
1984
The Bezout theorem in the space of the theory of functions. On the solution of a system of algebraic equations. Zbl 0506.14045
Tsikh, A. K.
1
1980
Application of multidimensional logarithmic residue to systems of nonlinear algebraic equations. Zbl 0452.32002
Ajzenberg, L. A.; Tsikh, A. K.
1
1980
The multiplicity of zero of a system of holomorphic functions. Zbl 0412.32003
Yuzhakov, A. N.; Tsikh, A. K.
1
1979
On application of the multidimensional logarithmic residue to systems of nonlinear algebraic equations. Zbl 0445.32003
Ajzenberg, L. A.; Tsikh, A. K.
1
1979
Cycles separating zeros of analytic functions in \(\mathbb{C}^n\). Zbl 0332.32001
Tsikh, A. K.
2
1976
Über die Zyklen, die die Nullstellen analytischer Funktionen im \(\mathbb{C}^n\) trennen. Zbl 0324.32002
Tsikh, A. K.
2
1975
all top 5

Cited by 228 Authors

18 Andersson, Mats
14 Wulcan, Elizabeth
13 Tsikh, Avgust Karlovich
10 Yger, Alain
9 Kytmanov, Alexey Alexandrovich
9 Sadykov, Timur Mradovich
9 Samuelsson, Hakan
8 Nisse, Mounir
7 Antipova, Irina Avgustovna
7 de Wolff, Timo
7 Kytmanov, Aleksandr Mechislavovich
7 Lärkäng, Richard
7 Leĭnartas, Evgeniĭ Konstantinovich
7 Mikhalkin, Evgeniĭ N.
6 Theobald, Thorsten
5 Bushueva, Natalia A.
5 Kulikov, Vladimir R.
5 Passare, Mikael
4 Dickenstein, Alicia M.
4 Myshkina, Evgeniya Konstantinovna
4 Shchuplev, Alexey V.
4 Zykova, Tat’yana V.
3 Aguilar, Jean-Philippe
3 Eliyashev, Yury V.
3 Forsgård, Jens
3 Johansson, Petter
3 Maergoiz, Lev Sergeevich
3 Matusevich, Laura Felicia
3 Nilsson, Lisa
3 Pochekutov, Dmitriĭ Yu.
3 Przybylska, Maria
3 Rogozina, Marina S.
3 Suwa, Tatsuo
3 Ul’vert, Roman V.
3 Vidras, Alekos
2 Aleksandrov, Aleksandr Grigor’evich
2 Angelelli, Mario
2 Apanovich, Marina Stepanovna
2 Berenstein, Carlos Alberto
2 Bogdanov, D. V.
2 Cattani, Eduardo H.
2 Crétois, Rémi
2 Egorychev, Georgiǐ Petrovich
2 Jockers, Hans
2 Jonsson, Mattias
2 Jörgens, Thorsten
2 Khenkin, Gennadiĭ Markovich
2 Khimshiashvili, Giorgi
2 Khodos, Olga V.
2 Kirshtein, B. Kh.
2 Krasikov, Vitaly A.
2 Lang, Lionel
2 Lehmann, Daniel J.
2 Lundqvist, Johannes
2 Mazzilli, Emmanuel
2 Mikhalkin, Grigory B.
2 Mkrtchyan, Aleksandr J.
2 Pauls, Walter
2 Pol, Delphine
2 Polyakov, Peter L.
2 Rashkovskii, Alexander
2 Safonov, Konstantin V.
2 Schulze, Mathias
2 Semusheva, Anastasiya Yu.
2 Sottile, Frank
2 Sznajdman, Jacob
2 Thomas, Pascal J.
2 Weimann, Martin
2 Yuzhakov, Aleksandr Petrovich
1 Adiprasito, Karim Alexander
1 Adrovic, Danko
1 Akhtar, Reza
1 Aleksandrov, Alexandr G.
1 Alpay, Daniel Aron
1 Aroca, Fuensanta
1 Avendano, Martin
1 Babaee, Farhad
1 Bec, Jérémie
1 Berdyshev, Abdumauvlen Suleymanovich
1 Berkesch Zamaere, Christine
1 Beukers, Frits
1 Bezrodnykh, Sergeĭ I.
1 Björk, Jan-Erik
1 Blumenhagen, Ralph
1 Borcea, Julius
1 Boyer, Jean-Yves
1 Brasselet, Jean-Paul
1 Briand, Emmanuel
1 Ceyhan, Özgür
1 Chandragiri, Sreelatha
1 Cherepanskiy, A. N.
1 Cheshel, A. A.
1 Closset, Cyril
1 Coste, Cyril
1 Cox, David A.
1 D’Andrea, Carlos
1 Davletshin, Maksim Nikolaevich
1 Denkowski, Maciej P.
1 Duquenoy, Vincent
1 Erkinger, David
...and 128 more Authors
all top 5

Cited in 91 Serials

39 Journal of Siberian Federal University. Mathematics & Physics
19 Siberian Mathematical Journal
11 Mathematische Annalen
9 Arkiv för Matematik
7 Annales de l’Institut Fourier
6 The Journal of Geometric Analysis
6 Proceedings of the Steklov Institute of Mathematics
5 Mathematische Zeitschrift
5 Russian Mathematics
5 Bulletin des Sciences Mathématiques
4 Advances in Mathematics
4 Journal für die Reine und Angewandte Mathematik
4 Programming and Computer Software
4 International Journal of Mathematics
4 Journal of High Energy Physics
3 Communications in Mathematical Physics
3 Journal of Mathematical Analysis and Applications
3 Journal of Mathematical Physics
3 Duke Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Proceedings of the American Mathematical Society
3 Journal of Symbolic Computation
3 Doklady Mathematics
3 Regular and Chaotic Dynamics
2 Mathematical Notes
2 Mathematics of Computation
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Compositio Mathematica
2 Functional Analysis and its Applications
2 Journal of Algebra
2 Journal of Functional Analysis
2 Mathematica Scandinavica
2 Michigan Mathematical Journal
2 Physica D
2 Journal of Complexity
2 Journal of the American Mathematical Society
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 St. Petersburg Mathematical Journal
2 Integral Transforms and Special Functions
2 Lobachevskii Journal of Mathematics
2 Computational Methods and Function Theory
2 Complex Variables and Elliptic Equations
2 Complex Analysis and Operator Theory
2 Journal of Commutative Algebra
2 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika
1 International Journal of Modern Physics A
1 Communications in Algebra
1 Discrete Mathematics
1 Journal d’Analyse Mathématique
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Mathematica Vietnamica
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Collectanea Mathematica
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of the Korean Mathematical Society
1 Manuscripta Mathematica
1 Mathematics and Computers in Simulation
1 Mathematische Nachrichten
1 Nagoya Mathematical Journal
1 Proceedings of the Japan Academy. Series A
1 Transactions of the American Mathematical Society
1 Advances in Applied Mathematics
1 Computational Mathematics and Mathematical Physics
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Automation and Remote Control
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Journal of Mathematical Sciences (New York)
1 Finite Fields and their Applications
1 Sbornik: Mathematics
1 Mathematical Physics, Analysis and Geometry
1 Fractional Calculus & Applied Analysis
1 International Journal of Theoretical and Applied Finance
1 Journal of the European Mathematical Society (JEMS)
1 Foundations of Computational Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Topology and Analysis
1 Journal of Singularities
1 Afrika Matematika
1 Forum of Mathematics, Sigma
1 Research in the Mathematical Sciences
all top 5

Cited in 40 Fields

149 Several complex variables and analytic spaces (32-XX)
94 Algebraic geometry (14-XX)
25 Special functions (33-XX)
19 Commutative algebra (13-XX)
17 Functions of a complex variable (30-XX)
16 Difference and functional equations (39-XX)
15 Combinatorics (05-XX)
14 Convex and discrete geometry (52-XX)
14 Computer science (68-XX)
13 Number theory (11-XX)
11 Differential geometry (53-XX)
11 Quantum theory (81-XX)
10 Real functions (26-XX)
10 Partial differential equations (35-XX)
9 Field theory and polynomials (12-XX)
9 Ordinary differential equations (34-XX)
9 Numerical analysis (65-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Integral transforms, operational calculus (44-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Probability theory and stochastic processes (60-XX)
3 Sequences, series, summability (40-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Relativity and gravitational theory (83-XX)
3 Operations research, mathematical programming (90-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Operator theory (47-XX)
2 Algebraic topology (55-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Group theory and generalizations (20-XX)
1 Geometry (51-XX)
1 Biology and other natural sciences (92-XX)
1 Systems theory; control (93-XX)

Citations by Year