# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 26 Publications since 1983
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#### Co-Authors

 6 single-authored 5 Borcea, Julius 5 Shapiro, Boris Zalmanovich 3 Abebaw, Tilahun 2 Abathun, Addisalem 2 Björk, Jan-Erik 2 Gonçalves, Iara 1 Atikaw, Sebsibew 1 Hägg, Christian 1 Halperin, Stephen 1 Jacobsson, Carl 1 Källström, Rolf 1 Mirumbe, G. I. 1 Ndikubwayo, Innocent 1 Ssembatya, Vincent A.
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#### Serials

 3 Proceedings of the American Mathematical Society 2 Communications in Algebra 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Advances in Mathematics 1 Czechoslovak Mathematical Journal 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Journal of Symbolic Computation 1 L’Enseignement Mathématique. 2e Série 1 Homology, Homotopy and Applications 1 Computational Methods and Function Theory 1 Journal of Pure and Applied Mathematics: Advances and Applications 1 Electronic Journal of Mathematical Analysis and Applications EJMAA
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#### Fields

 8 Algebraic geometry (14-XX) 8 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 6 Ordinary differential equations (34-XX) 6 Algebraic topology (55-XX) 5 Commutative algebra (13-XX) 5 Several complex variables and analytic spaces (32-XX) 3 Nonassociative rings and algebras (17-XX) 3 Convex and discrete geometry (52-XX) 2 Special functions (33-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 78 times in 59 Documents Cited by Year
Gorenstein rings with transcendental Poincaré-series. Zbl 0527.13013
1983
On rational approximation of algebraic functions. Zbl 1108.30025
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2006
On mother body measures with algebraic Cauchy transform. Zbl 1364.31003
2016
Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions. Zbl 1182.30008
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2009
Some results on $${\mathcal D}$$-modules on Borel varieties in characteristic $$p>0$$. Zbl 0845.14014
1995
Decomposition of $$D$$-modules over a hyperplane arrangement in the plane. Zbl 1209.14045
2010
On a conjecture of Roos. Zbl 0644.13004
1986
Piecewise harmonic subharmonic functions and positive Cauchy transforms. Zbl 1163.31001
2009
An analogue of holonomic $$D$$-modules on smooth varieties in positive characteristics. Zbl 1003.32002
2002
Splitting of the direct image of sheaves under the Frobenius. Zbl 0902.14038
1998
Subharmonic configurations and algebraic Cauchy transforms of probability measures. Zbl 1253.31001
Björk, Jan-Erik; Borcea, Julius; Bøgvad, Rikard
2011
Corrigendum: “Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions”. Zbl 1235.30003
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2012
Some elementary results on the cohomology of graded Lie algebras. Zbl 0552.17012
1984
The enveloping algebra of a graded Lie algebra of global dimension two contains a free subalgebra on two generators. Zbl 0587.55004
1985
On the distribution solutions to ordinary differential equations with polynomial coefficients on the real line. Zbl 1262.34011
Mirumbe, G. I.; Ssembatya, V. A.; Bogvad, Rikard; Björk, Jan Erik
2011
Decomposition factors of D-modules on hyperplane configurations in general position. Zbl 1276.32009
2012
Decomposition of perverse sheaves on plane line arrangements. Zbl 1397.55005
2018
Graded Lie algebras of depth one. Zbl 0692.55007
1989
A refinement for rational functions of Pólya’s method to construct Voronoi diagrams. Zbl 1380.30007
2017
Generalizing Tran’s conjecture. Zbl 1463.12001
Bøgvad, R.; Ndikubwayo, I.; Shapiro, B.
2020
Zeros of a certain class of Gauss hypergeometric polynomials. Zbl 07031694
2018
Length and decomposition of the cohomology of the complement to a hyperplane arrangement. Zbl 1442.55003
2019
Asymptotic distribution of zeros of a certain class of hypergeometric polynomials. Zbl 1339.33009
2016
Generalizing Tran’s conjecture. Zbl 1463.12001
Bøgvad, R.; Ndikubwayo, I.; Shapiro, B.
2020
Length and decomposition of the cohomology of the complement to a hyperplane arrangement. Zbl 1442.55003
2019
Decomposition of perverse sheaves on plane line arrangements. Zbl 1397.55005
2018
Zeros of a certain class of Gauss hypergeometric polynomials. Zbl 07031694
2018
A refinement for rational functions of Pólya’s method to construct Voronoi diagrams. Zbl 1380.30007
2017
On mother body measures with algebraic Cauchy transform. Zbl 1364.31003
2016
Asymptotic distribution of zeros of a certain class of hypergeometric polynomials. Zbl 1339.33009
2016
Corrigendum: “Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions”. Zbl 1235.30003
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2012
Decomposition factors of D-modules on hyperplane configurations in general position. Zbl 1276.32009
2012
Subharmonic configurations and algebraic Cauchy transforms of probability measures. Zbl 1253.31001
Björk, Jan-Erik; Borcea, Julius; Bøgvad, Rikard
2011
On the distribution solutions to ordinary differential equations with polynomial coefficients on the real line. Zbl 1262.34011
Mirumbe, G. I.; Ssembatya, V. A.; Bogvad, Rikard; Björk, Jan Erik
2011
Decomposition of $$D$$-modules over a hyperplane arrangement in the plane. Zbl 1209.14045
2010
Homogenized spectral problems for exactly solvable operators: asymptotics of polynomial eigenfunctions. Zbl 1182.30008
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2009
Piecewise harmonic subharmonic functions and positive Cauchy transforms. Zbl 1163.31001
2009
On rational approximation of algebraic functions. Zbl 1108.30025
Borcea, Julius; Bøgvad, Rikard; Shapiro, Boris
2006
An analogue of holonomic $$D$$-modules on smooth varieties in positive characteristics. Zbl 1003.32002
2002
Splitting of the direct image of sheaves under the Frobenius. Zbl 0902.14038
1998
Some results on $${\mathcal D}$$-modules on Borel varieties in characteristic $$p>0$$. Zbl 0845.14014
1995
Graded Lie algebras of depth one. Zbl 0692.55007
1989
On a conjecture of Roos. Zbl 0644.13004
1986
The enveloping algebra of a graded Lie algebra of global dimension two contains a free subalgebra on two generators. Zbl 0587.55004
1985
Some elementary results on the cohomology of graded Lie algebras. Zbl 0552.17012
1984
Gorenstein rings with transcendental Poincaré-series. Zbl 0527.13013
1983
all top 5

#### Cited by 71 Authors

 11 Bøgvad, Rikard 7 Shapiro, Boris Zalmanovich 4 Borcea, Julius 3 Kustin, Andrew R. 3 Şega, Liana M. 3 Tran, Khang D. 2 Abebaw, Tilahun 2 Bavula, Vladimir V. 2 Chouikhi, Mondher 2 Elias, Juan 2 Funch Thomsen, Jesper 2 Gonçalves, Iara 2 Kirkman, Ellen E. 2 Martínez-Finkelshtein, Andrei 2 Ndikubwayo, Innocent 2 Roos, Jan-Erik 2 Rossi, Maria Evelina 2 Silva, Guilherme L. F. 2 Tater, Miloš 2 Thabet, Faouzi 2 Zumba, Andres 1 Abathun, Addisalem 1 Alev, Jacques 1 Anderson, Daniel D. 1 Atikaw, Sebsibew 1 Avramov, Luchezar L. 1 Bergkvist, Tanja 1 Blaschke, Petr 1 Blickle, Manuel 1 Budur, Nero 1 Conner, Andrew 1 Dumas, François 1 El Khoury, Sabine 1 Félix, Yves 1 Forgács, Tamás 1 Friedland, Shmuel 1 Grant, Mark 1 Hägg, Christian 1 Halperin, Stephen 1 Hõ Dình Duâ’n 1 Hsiao, Jen-Chieh 1 Jacobsson, Carl 1 Kochubeĭ, Anatoliĭ Naumovych 1 Kuzmanovich, James J. 1 Lauritzen, Niels 1 Liu, Yongqiang 1 Löfwall, Clas 1 Lundqvist, Samuel 1 Lupton, Gregory M. 1 Lyubeznik, Gennady 1 Mango, John Magero 1 Martínez Alonso, Luis 1 Medina, Elena 1 Mehta, Vikram Bhagvandas 1 Miller, Matthew P. 1 Mirumbe, Ismail 1 Moore, W. Frank 1 Nonkané, Ibrahim 1 Oprea, John F. 1 Raben-Pedersen, Ulf 1 Rakhmanov, Evgenij Andreevich 1 Rami, Youssef 1 Solynin, Alexander Yu. 1 Štampach, František 1 Sun, Xiaotao 1 Thomas, Jean-Claude 1 Trivedi, Vijaylaxmi 1 Valla, Giuseppe 1 Valtonen, Erik 1 Vraciu, Adela N. 1 Winders, Michael
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#### Cited in 34 Serials

 7 Journal of Algebra 4 Journal of Pure and Applied Algebra 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Advances in Mathematics 3 Transactions of the American Mathematical Society 2 Communications in Algebra 2 Manuscripta Mathematica 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Journal of Commutative Algebra 2 Analysis and Mathematical Physics 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Russian Mathematical Surveys 1 Journal of Approximation Theory 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Constructive Approximation 1 Journal of the American Mathematical Society 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Representation Theory 1 The Ramanujan Journal 1 Algebraic & Geometric Topology 1 Computational Methods and Function Theory 1 Journal of Algebra and its Applications 1 Involve 1 Afrika Matematika 1 Arabian Journal of Mathematics 1 Electronic Journal of Mathematical Analysis and Applications EJMAA 1 International Journal of Advances in Applied Mathematics and Mechanics 1 European Journal of Mathematics
all top 5

#### Cited in 28 Fields

 20 Commutative algebra (13-XX) 16 Functions of a complex variable (30-XX) 10 Algebraic geometry (14-XX) 8 Algebraic topology (55-XX) 7 Associative rings and algebras (16-XX) 7 Ordinary differential equations (34-XX) 5 Potential theory (31-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Operator theory (47-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)