# zbMATH — the first resource for mathematics

Compute Distance To:
 Author ID: petrov.fedor-v Published as: Petrov, Fedor; Petrov, F. V.; Petrov, F.; Petrov, Fedor V.; Petrov, Fedya V. Homepage: http://www.pdmi.ras.ru/eng/perso/petrov.php External Links: MGP · ORCID · ResearchGate · MathOverflow · Math-Net.Ru · dblp
 Documents Indexed: 50 Publications since 2002
all top 5

#### Co-Authors

 10 single-authored 7 Vershik, Anatoliĭ Moiseevich 7 Zatitskii, Pavel B. 3 Volkov, Vladislav Vladimirovich 2 Cherkashin, Danila D. 2 Grinberg, Darij 2 Karasev, Roman N. 2 Melleray, Julien 2 Pak, Igor 2 Pohoata, Cosmin 1 Akopyan, Arseniy V. 1 Alekseev, Anton Yu. 1 Andrews, George Eyre 1 Bochkov, I. A. 1 Bukhshtaber, Viktor Matveevich 1 Cassaigne, Julien 1 Eriksson, Henrik 1 Faddeev, Lyudvig Dmitrievich 1 Fomin, Sergey Vladimirovich 1 Frid, Anna Èduardovna 1 Gordin, Mikhail Iosifovich 1 Goryachko, E. E. 1 Gravin, Nick 1 Ibragimov, Il’dar Abdullovich 1 Kaimanovich, Vadim A. 1 Károlyi, Gyula 1 Kirillov, Alexandre Aleksandrovich 1 Krachun, Dmitry 1 Liu, Jicai 1 Lodkin, A. A. 1 Nagy, Zoltán Lóránt 1 Nazarov, Alexander I. 1 Nazarov, Fedor L. 1 Novikov, Sergeĭ Petrovich 1 Okun’kov, Andreĭ Yur’evich 1 Ol’shanskiĭ, Grigoriĭ Iosifovich 1 Robins, Sinai 1 Romik, Dan 1 Rukshin, S. E. 1 Ryabogin, Dmitry 1 Shiryaev, Dmitry 1 Sinaĭ, Yakov Grigor’evich 1 Sokolov, Viacheslav 1 Stolyarov, Dmitry M. 1 Tarasov, Alexander 1 Tsilevich, Natalia V. 1 Vsemirnov, Maxim 1 Yakubovich, Yuri V. 1 Zusmanovich, Pasha 1 Zvavitch, Artem
all top 5

#### Serials

 8 Journal of Mathematical Sciences (New York) 3 Israel Journal of Mathematics 3 St. Petersburg Mathematical Journal 2 Russian Mathematical Surveys 2 Functional Analysis and its Applications 2 Mathematika 2 The Electronic Journal of Combinatorics 2 Arnold Mathematical Journal 1 Discrete Mathematics 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Fundamenta Mathematicae 1 Journal of Combinatorial Theory. Series A 1 Journal of Combinatorial Theory. Series B 1 Journal of Graph Theory 1 Journal of Number Theory 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Advances in Applied Mathematics 1 Order 1 SIAM Journal on Discrete Mathematics 1 Random Structures & Algorithms 1 Finite Fields and their Applications 1 Séminaire Lotharingien de Combinatoire 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 The Journal of Symplectic Geometry 1 Central European Journal of Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 European Journal of Mathematics 1 Electronic Research Archive
all top 5

#### Fields

 25 Combinatorics (05-XX) 14 Number theory (11-XX) 11 Convex and discrete geometry (52-XX) 6 General topology (54-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Group theory and generalizations (20-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Probability theory and stochastic processes (60-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 164 times in 148 Documents Cited by Year
Congruences on sums of $$q$$-binomial coefficients. Zbl 07175431
Liu, Ji-Cai; Petrov, Fedor
2020
A remark on the Mahler conjecture: local minimality of the unit cube. Zbl 1207.52005
Nazarov, Fedor; Petrov, Fedor; Ryabogin, Dmitry; Zvavitch, Artem
2010
Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016
Melleray, J.; Petrov, F. V.; Vershik, A. M.
2008
Partitions of nonzero elements of a finite field into pairs. Zbl 1287.11015
Karasev, R. N.; Petrov, F. V.
2012
Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004
Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V.
2013
Integrals, partitions and MacMahon’s theorem. Zbl 1115.05005
Andrews, George; Eriksson, Henrik; Petrov, Fedor; Romik, Dan
2007
Uncountable graphs and invariant measures on the set of universal countable graphs. Zbl 1209.05158
Petrov, Fedor; Vershik, Anatoly
2010
Correction of metrics. Zbl 1259.28018
Zatitskiy, P. B.; Petrov, F. V.
2012
Combinatorics of the Lipschitz polytope. Zbl 1386.52010
Gordon, J.; Petrov, F.
2017
A new approach to constant term identities and Selberg-type integrals. Zbl 1315.82013
Károlyi, Gyula; Nagy, Zoltán Lóránt; Petrov, Fedor V.; Volkov, Vladislav
2015
On small $$n$$-uniform hypergraphs with positive discrepancy. Zbl 1428.05224
Cherkashin, Danila; Petrov, Fedor
2019
Polynomial approach to explicit formulae for generalized binomial coefficients. Zbl 1339.05034
Petrov, Fedor
2016
On the interpolation of integer-valued polynomials. Zbl 1296.13019
Volkov, V. V.; Petrov, F. V.
2013
Combinatorial and probabilistic formulae for divided symmetrization. Zbl 1376.05163
Petrov, F.
2018
Virtual continuity of measurable functions of several variables and embedding theorems. Zbl 1305.28004
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
2013
Virtual continuity of measurable functions and its applications. Zbl 1320.28003
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
2014
On Tabachnikov’s conjecture. Zbl 1152.53003
Nazarov, A. I.; Petrov, F. V.
2008
On the subadditivity of a scaling entropy sequence. Zbl 1383.37003
Zatitskiĭ, P. B.; Petrov, Fedya V.
2016
Indecomposable characters of the group of rational rearrangements of the segment. Zbl 1283.20005
Goryachko, E. E.; Petrov, F. V.
2011
Combinatorial Nullstellensatz approach to polynomial expansion. Zbl 1328.12003
Petrov, Fedor
2014
On embeddings of finite metric spaces in $$l^n_\infty$$. Zbl 1206.46022
Petrov, F. V.; Stolyarov, D. M.; Zatitskiy, P. B.
2010
Limit shapes of Young diagrams. Two elementary approaches. Zbl 1288.60009
Petrov, F.
2010
Improved bounds for progression-free sets in $$C_8^n$$. Zbl 1459.05348
Petrov, Fedor; Pohoata, Cosmin
2020
The limit shape of Young diagrams for multiplicative statistics with superpolynomial growth. Zbl 1153.60005
Petrov, F. V.
2005
Regular behavior of the maximal hypergraph chromatic number. Zbl 1444.05055
Cherkashin, Danila; Petrov, Fedor
2020
The Bhargava greedoid. Zbl 1447.05048
Grinberg, Darij; Petrov, Fedor
2020
A remark on sets with few distances in $$\mathbb{R}^d$$. Zbl 1455.05077
Petrov, Fedor; Pohoata, Cosmin
2021
A remark on sets with few distances in $$\mathbb{R}^d$$. Zbl 1455.05077
Petrov, Fedor; Pohoata, Cosmin
2021
Congruences on sums of $$q$$-binomial coefficients. Zbl 07175431
Liu, Ji-Cai; Petrov, Fedor
2020
Improved bounds for progression-free sets in $$C_8^n$$. Zbl 1459.05348
Petrov, Fedor; Pohoata, Cosmin
2020
Regular behavior of the maximal hypergraph chromatic number. Zbl 1444.05055
Cherkashin, Danila; Petrov, Fedor
2020
The Bhargava greedoid. Zbl 1447.05048
Grinberg, Darij; Petrov, Fedor
2020
On small $$n$$-uniform hypergraphs with positive discrepancy. Zbl 1428.05224
Cherkashin, Danila; Petrov, Fedor
2019
Combinatorial and probabilistic formulae for divided symmetrization. Zbl 1376.05163
Petrov, F.
2018
Combinatorics of the Lipschitz polytope. Zbl 1386.52010
Gordon, J.; Petrov, F.
2017
Polynomial approach to explicit formulae for generalized binomial coefficients. Zbl 1339.05034
Petrov, Fedor
2016
On the subadditivity of a scaling entropy sequence. Zbl 1383.37003
Zatitskiĭ, P. B.; Petrov, Fedya V.
2016
A new approach to constant term identities and Selberg-type integrals. Zbl 1315.82013
Károlyi, Gyula; Nagy, Zoltán Lóránt; Petrov, Fedor V.; Volkov, Vladislav
2015
Virtual continuity of measurable functions and its applications. Zbl 1320.28003
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
2014
Combinatorial Nullstellensatz approach to polynomial expansion. Zbl 1328.12003
Petrov, Fedor
2014
Geometry and dynamics of admissible metrics in measure spaces. Zbl 1261.37004
Vershik, Anatoly M.; Zatitskiy, Pavel B.; Petrov, Fedor V.
2013
On the interpolation of integer-valued polynomials. Zbl 1296.13019
Volkov, V. V.; Petrov, F. V.
2013
Virtual continuity of measurable functions of several variables and embedding theorems. Zbl 1305.28004
Vershik, A. M.; Zatitskiy, P. B.; Petrov, F. V.
2013
Partitions of nonzero elements of a finite field into pairs. Zbl 1287.11015
Karasev, R. N.; Petrov, F. V.
2012
Correction of metrics. Zbl 1259.28018
Zatitskiy, P. B.; Petrov, F. V.
2012
Indecomposable characters of the group of rational rearrangements of the segment. Zbl 1283.20005
Goryachko, E. E.; Petrov, F. V.
2011
A remark on the Mahler conjecture: local minimality of the unit cube. Zbl 1207.52005
Nazarov, Fedor; Petrov, Fedor; Ryabogin, Dmitry; Zvavitch, Artem
2010
Uncountable graphs and invariant measures on the set of universal countable graphs. Zbl 1209.05158
Petrov, Fedor; Vershik, Anatoly
2010
On embeddings of finite metric spaces in $$l^n_\infty$$. Zbl 1206.46022
Petrov, F. V.; Stolyarov, D. M.; Zatitskiy, P. B.
2010
Limit shapes of Young diagrams. Two elementary approaches. Zbl 1288.60009
Petrov, F.
2010
Linearly rigid metric spaces and the embedding problem. Zbl 1178.46016
Melleray, J.; Petrov, F. V.; Vershik, A. M.
2008
On Tabachnikov’s conjecture. Zbl 1152.53003
Nazarov, A. I.; Petrov, F. V.
2008
Integrals, partitions and MacMahon’s theorem. Zbl 1115.05005
Andrews, George; Eriksson, Henrik; Petrov, Fedor; Romik, Dan
2007
The limit shape of Young diagrams for multiplicative statistics with superpolynomial growth. Zbl 1153.60005
Petrov, F. V.
2005
all top 5

#### Cited by 181 Authors

 14 Guo, Victor J. W. 11 Petrov, Fedor Vladimirovich 9 Vershik, Anatoliĭ Moiseevich 8 Liu, Jicai 8 Zatitskii, Pavel B. 5 Werner, Elisabeth M. 4 Wang, Xiaoxia 4 Zvavitch, Artem 3 Ackerman, Nathanael Leedom 3 Fradelizi, Matthieu 3 Freer, Cameron E. 3 Károlyi, Gyula 3 Kim, Jaegil 3 Liu, Yudong 3 Meyer, Mathieu 3 Patel, Rehana 3 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 3 Schlosser, Michael J. 3 Wei, Chuanan 2 Alexander, Matthew 2 Bringmann, Kathrin 2 Cherkashin, Danila D. 2 Holroyd, Alexander E. 2 Huang, Wen 2 Jevtić, Filip D. 2 Karasev, Roman N. 2 Li, Long 2 Melleray, Julien 2 Nadeau, Philippe 2 Nagy, Zoltán Lóránt 2 Niemiec, Piotr 2 Rhoades, Robert C. 2 Schmitt, John R. 2 Schütt, Carsten 2 Tewari, Vasu V. 2 Volkov, Vladislav Vladimirovich 2 Xu, Leiye 2 Ye, Xiangdong 2 Yu, Tao 2 Zaev, Danila A. 2 Živaljević, Rade T. 1 Artstein-Avidan, Shiri 1 Bianchi, Gabriele 1 Bucur, Dorin 1 Byszewski, Jakub 1 Cahen, Paul-Jean 1 Cai, Fangzhou 1 Carlson, Charles 1 Çelik, Türkü Özlüm 1 Chabert, Jean-Luc 1 Chandrasekaran, Karthekeyan 1 Chang, Hsien-Chih 1 Chen, William Yong-Chuan 1 Choi, Youn-Seo 1 Clark, Peter Louis 1 Coregliano, Leonardo Nagami 1 Crane, Harry 1 Cúth, Marek 1 Delucchi, Emanuele 1 Demidovich, Yu. A. 1 Doucha, Michal 1 Dovgoshey, Oleksiy Alfredovich 1 Duzhin, V. S. 1 Elsholtz, Christian 1 Feng, Tao 1 Forrow, Aden 1 Fouché, Willem Louw 1 Frączyk, Mikolaj 1 Fragalà, Ilaria 1 Funaki, Tadahisa 1 García-Lirola, Luis Carlos 1 Glazyrin, Alexey 1 Glunčić, Matko 1 Gorbounov, Vassily 1 Gordeev, Alexey 1 Goryachko, E. E. 1 Gravner, Janko 1 Grigor’ev, Dmitriĭ Yur’evich 1 Grinberg, Darij 1 Guo, Song 1 Hallett, Jared 1 Hegedűs, Gábor 1 Hoehner, Steven D. 1 Hoessly, Linard 1 Horsley, Daniel 1 Huang, Qingzhong 1 Huang, Zhong-Yu 1 Imae, Joe 1 Iriyeh, Hiroshi 1 Jamneshan, Asgar 1 Jelić, Marija 1 Jenkinson, Justin 1 Ji, Kathy Qing 1 Jin, Hai-Tao 1 Kakimura, Naonori 1 Kanade, Shashank 1 Kane, Ben 1 Kane, Daniel M. 1 Kim, Byungchan 1 Knopfmacher, Arnold ...and 81 more Authors
all top 5

#### Cited in 75 Serials

 14 Journal of Mathematical Sciences (New York) 6 Advances in Mathematics 6 Journal of Combinatorial Theory. Series A 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 5 Results in Mathematics 5 Discrete & Computational Geometry 4 Functional Analysis and its Applications 3 Mathematical Notes 3 Journal of Number Theory 3 Transactions of the American Mathematical Society 3 The Electronic Journal of Combinatorics 3 Journal of Difference Equations and Applications 3 Arnold Mathematical Journal 2 Bulletin of the Australian Mathematical Society 2 Discrete Mathematics 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Russian Mathematical Surveys 2 The Mathematical Intelligencer 2 Duke Mathematical Journal 2 Journal of Functional Analysis 2 Topology and its Applications 2 European Journal of Combinatorics 2 Advances in Applied Mathematics 2 Annals of Combinatorics 2 Mediterranean Journal of Mathematics 2 Forum of Mathematics, Sigma 1 American Mathematical Monthly 1 Discrete Applied Mathematics 1 International Journal of Control 1 Journal of Statistical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Periodica Mathematica Hungarica 1 Journal of Geometry and Physics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of Graph Theory 1 The Journal of Symbolic Logic 1 Mathematika 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Ergodic Theory and Dynamical Systems 1 Combinatorica 1 Acta Mathematica Hungarica 1 Annals of Pure and Applied Logic 1 Journal of Symbolic Computation 1 Constructive Approximation 1 The Annals of Applied Probability 1 Journal of Global Optimization 1 Designs, Codes and Cryptography 1 Journal of Knot Theory and its Ramifications 1 Applied Categorical Structures 1 St. Petersburg Mathematical Journal 1 Selecta Mathematica. New Series 1 Bulletin des Sciences Mathématiques 1 Discrete and Continuous Dynamical Systems 1 Séminaire Lotharingien de Combinatoire 1 Doklady Mathematics 1 The Ramanujan Journal 1 Theory of Computing Systems 1 Journal of Integer Sequences 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Discrete Optimization 1 International Journal of Number Theory 1 Confluentes Mathematici 1 Japanese Journal of Mathematics. 3rd Series 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Communications in Mathematics and Statistics 1 European Journal of Mathematics 1 Electronic Research Archive
all top 5

#### Cited in 35 Fields

 57 Combinatorics (05-XX) 49 Number theory (11-XX) 33 Convex and discrete geometry (52-XX) 30 Special functions (33-XX) 20 Dynamical systems and ergodic theory (37-XX) 17 Probability theory and stochastic processes (60-XX) 13 General topology (54-XX) 11 Measure and integration (28-XX) 11 Functional analysis (46-XX) 7 Mathematical logic and foundations (03-XX) 7 Topological groups, Lie groups (22-XX) 7 Differential geometry (53-XX) 6 Group theory and generalizations (20-XX) 4 Algebraic geometry (14-XX) 4 Operations research, mathematical programming (90-XX) 3 Commutative algebra (13-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Nonassociative rings and algebras (17-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)