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Author ID: beck.matthias Recent zbMATH articles by "Beck, Matthias"
Published as: Beck, Matthias; Beck, M.
External Links: MGP
all top 5

Co-Authors

9 single-authored
12 Robins, Sinai
8 Haase, Christian Alexander
7 Braun, Benjamin
7 Zaslavsky, Thomas
5 Savage, Carla Diane
4 Reznick, Bruce
4 Sam, Steven V.
3 Hoşten, Serkan
3 Jochemko, Katharina Victoria
3 Sottile, Frank
3 Zacks, Shelemyahu
2 Ardila, Federico
2 Bajo, Esme
2 Bayad, Abdelmejid
2 Develin, Mike
2 Elia, Sophia
2 Farahmand, Maryam
2 Gessel, Ira Martin
2 Hlavacek, Max
2 Köppe, Matthias
2 Michałek, Mateusz
2 Pfeifle, Julian
2 Pixton, Dennis
2 Rehberg, Sophie
2 Robbins, Neville
2 Ruiz, Amanda
2 Sanyal, Raman
2 Schymura, Matthias
2 Vergne, Michèle
2 Vindas-Meléndez, Andrés R.
2 Welker, Volkmar
2 Zafeirakopoulos, Zafeirakis
1 Andrews, George Eyre
1 Auli, Juan S.
1 Babson, Eric K.
1 Baldoni-Silva, Maria Welleda
1 Bardomero, Leonardo
1 Barvinok, Alexander I.
1 Berget, Andrew
1 Berndt, Bruce Carl
1 Berrizbeitia, Ana
1 Blado, Daniel
1 Bliem, Thomas
1 Bogart, Tristram
1 Breuer, Felix
1 Chan, O-Yeat
1 Chavez, Anastasia
1 Chen, Beifang
1 Cochet, Charles
1 Cohen, Moshe
1 Crawford, Joseph
1 Cuomo, Jessica
1 Cuyjet, Alyssa
1 Dairyko, Michael
1 De Loera, Jesús A.
1 De Silva, Jessica
1 Delgado, Jessica
1 Deligeorgaki, Danai
1 Diaz, Ricardo L.
1 Dorfsman-Hopkins, Gabriel
1 Ehrenborg, Richard
1 Einstein, David M.
1 Feingold, Alex Jay
1 Fukshansky, Lenny
1 Geoghegan, Ross
1 Godkin, Logan
1 Gribelyuk, Paul
1 Gubeladze, Joseph
1 Gunnells, Paul E.
1 Halloran, Mary
1 Hardin, Mela
1 Higashitani, Akihiro
1 Hofscheier, Johannes
1 Jackanich, Michael
1 Janssen, Ellinor
1 Jayawant, Pallavi
1 Jean-Louis, Taïna
1 Karunaratne, Gina
1 Katthän, Lukas
1 Kemper, Yvonne
1 Kifer, Curtis
1 Kirby, Gordon Rojas
1 Knutson, Allen
1 Kohl, Florian
1 Kolhatkar, Sampada
1 Komatsu, Takao
1 Lee, Sunyoung
1 León, Emerson
1 Martin, Jeremy L.
1 Materov, Evgeny N.
1 Matthews, Asia R.
1 McAllister, Tyrrell B.
1 McCullough, Emily
1 McWhirter, Jodi
1 Meza, Erika
1 Nevarez, Bryan
1 Nill, Benjamin
1 Pruitt, Joseph
1 Rodriguez, Claudia N.
1 Ruiz, Sandra Zuniga
...and 18 more Co-Authors

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,057 times in 780 Documents Cited by Year
Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013
Beck, Matthias; Robins, Sinai
277
2007
Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002
Beck, Matthias; Robins, Sinai
131
2015
Inside-out polytopes. Zbl 1107.52009
Beck, Matthias; Zaslavsky, Thomas
38
2006
The Ehrhart polynomial of the Birkhoff polytope. Zbl 1065.52007
Beck, Matthias; Pixton, Dennis
37
2003
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
34
2011
Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300
Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P.
34
2005
Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics. Zbl 1411.05001
Beck, Matthias; Sanyal, Raman
33
2018
The number of nowhere-zero flows on graphs and signed graphs. Zbl 1119.05105
Beck, Matthias; Zaslavsky, Thomas
24
2006
The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026
Beck, Matthias; Diaz, Ricardo; Robins, Sinai
23
2002
\(h^\ast \)-polynomials of zonotopes. Zbl 1402.05100
Beck, Matthias; Jochemko, Katharina; McCullough, Emily
22
2019
The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010
Beck, Matthias; Gessel, Ira M.; Komatsu, Takao
22
2001
On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017
Beck, Matthias; Stapledon, Alan
20
2010
Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001
Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele
18
2006
Dedekind cotangent sums. Zbl 1061.11043
Beck, Matthias
17
2003
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
Bayad, Abdelmejid; Beck, Matthias
17
2014
Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru
13
2005
Finite trigonometric character sums via discrete Fourier analysis. Zbl 1268.11106
Beck, Matthias; Halloran, Mary
12
2010
Counting lattice points by means of the residue theorem. Zbl 0988.11045
Beck, Matthias
12
2000
\(s\)-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones. Zbl 1306.05012
Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis
12
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
11
2015
Irrational proofs for three theorems of Stanley. Zbl 1109.05017
Beck, Matthias; Sottile, Frank
11
2007
Maximal periods of (Ehrhart) quasi-polynomials. Zbl 1152.05006
Beck, Matthias; Sam, Steven V.; Woods, Kevin M.
11
2008
Enumerating colorings, tensions and flows in cell complexes. Zbl 1311.05086
Beck, Matthias; Breuer, Felix; Godkin, Logan; Martin, Jeremy L.
11
2014
Multidimensional Ehrhart reciprocity. Zbl 1005.52006
Beck, Matthias
10
2002
Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. Zbl 1185.05007
Beck, Matthias; Haase, Christian; Sottile, Frank
10
2009
Euler-Mahonian statistics via polyhedral geometry. Zbl 1283.05011
Beck, Matthias; Braun, Benjamin
9
2013
Cyclotomic polytopes and growth series of cyclotomic lattices. Zbl 1175.11030
Beck, Matthias; Hoşten, Serkan
9
2006
Lattice-point generating functions for free sums of convex sets. Zbl 1283.52003
Beck, Matthias; Jayawant, Pallavi; McAllister, Tyrrell B.
9
2013
A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023
Beck, Matthias; Robins, Sinai
7
2004
An extreme family of generalized Frobenius numbers. Zbl 1245.11038
Beck, Matthias; Kifer, Curtis
7
2011
The partial-fractions method for counting solutions to integral linear systems. Zbl 1196.11054
Beck, Matthias
7
2004
Very ample and Koszul segmental fibrations. Zbl 1331.52020
Beck, Matthias; Delgado, Jessica; Gubeladze, Joseph; Michałek, Mateusz
7
2015
Combinatorial reciprocity theorems. Zbl 1254.05013
Beck, Matthias
6
2012
Positivity theorems for solid-angle polynomials. Zbl 1257.52007
Beck, Matthias; Robins, Sinai; Sam, Steven V.
6
2010
Let me tell you my favorite lattice-point problem …. Zbl 1165.52013
Beck, Matthias; Nill, Benjamin; Reznick, Bruce; Savage, Carla; Soprunov, Ivan; Xu, Zhiqiang
6
2008
Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014
Beck, Matthias; Bogart, Tristram; Pham, Tu
6
2012
Generating functions and triangulations for lecture hall cones. Zbl 1342.05009
Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis
6
2016
A closer look at lattice points in rational simplices. Zbl 0934.11048
Beck, Matthias
5
1999
On weak chromatic polynomials of mixed graphs. Zbl 1306.05100
Beck, Matthias; Blado, Daniel; Crawford, Joseph; Jean-Louis, Taïna; Young, Michael
5
2015
Six little squares and how their numbers grow. Zbl 1230.05062
Beck, Matthias; Zaslavsky, Thomas
5
2010
Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind-Rademacher sums. Zbl 1009.11058
Beck, Matthias; Robins, Sinai
5
2002
Parking functions, Shi arrangements, and mixed graphs. Zbl 1332.05016
Beck, Matthias; Berrizbeitia, Ana; Dairyko, Michael; Rodriguez, Claudia; Ruiz, Amanda; Veeneman, Schuyler
5
2015
Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017
Beck, Matthias; Robins, Sinai
4
2004
An enumerative geometry for magic and magilatin labellings. Zbl 1116.05071
Beck, Matthias; Zaslavsky, Thomas
4
2006
Geometric proofs of polynomial reciprocity laws of Carlitz, Berndt, and Dieter. Zbl 1166.11015
Beck, Matthias
4
2006
The reciprocity law for Dedekind sums via the constant Ehrhart coefficient. Zbl 0979.05004
Beck, Matthias
4
1999
The number of “magic” squares, cubes, and hypercubes. Zbl 1043.05501
Beck, Matthias; Cohen, Moshe; Cuomo, Jessica; Gribelyuk, Paul
4
2003
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra. Zbl 1144.11070
Beck, Matthias; Haase, Christian; Matthews, Asia R.
4
2008
Mahonian partition identities via polyhedral geometry. Zbl 1305.05007
Beck, Matthias; Braun, Benjamin; Le, Nguyen
4
2013
Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088
Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias
4
2017
Frobenius coin-exchange generating functions. Zbl 1444.11045
Bardomero, Leonardo; Beck, Matthias
4
2020
Smooth centrally symmetric polytopes in dimension 3 are IDP. Zbl 1429.52015
Beck, Matthias; Haase, Christian; Higashitani, Akihiro; Hofscheier, Johannes; Jochemko, Katharina; Katthän, Lukas; Michałek, Mateusz
4
2019
A unifying generalization of Sperner’s theorem. Zbl 1094.05055
Beck, M.; Wang, Xueqin; Zaslavsky, T.
3
2006
Bernoulli-Dedekind sums. Zbl 1262.11056
Beck, Matthias; Chavez, Anastasia
3
2011
Nowhere-harmonic colorings of graphs. Zbl 1238.05083
Beck, Matthias; Braun, Benjamin
3
2012
Some experimental results on the Frobenius problem. Zbl 1076.11015
Beck, Matthias; Einstein, David; Zacks, Shelemyahu
3
2003
A shorter, simpler, stronger proof of the Meshalkin–Hochberg–Hirsch bounds on componentwise antichains. Zbl 1028.05111
Beck, Matthias; Zaslavsky, Thomas
3
2002
A Meshalkin theorem for projective geometries. Zbl 1018.05100
Beck, Matthias; Zaslavsky, Thomas
3
2003
Flows on simplicial complexes. Zbl 1412.05228
Beck, Matthias; Kemper, Yvonne
3
2012
Integer points in polyhedra. Geometry, number theory, algebra, optimization. Proceedings of an AMS-IMS-SIAM joint summer research conference on integer points in polyhedra, Snowbird, UT, USA, July 13–17, 2003. Zbl 1065.00009
2
2005
Rademacher-Carlitz polynomials. Zbl 1318.11057
Beck, Matthias; Kohl, Florian
2
2014
Grid graphs, Gorenstein polytopes, and domino stackings. Zbl 1189.05142
Beck, Matthias; Haase, Christian; Sam, Steven V
2
2009
Symmetrically constrained compositions. Zbl 1218.05019
Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D.
2
2010
Boundary \(H^\ast\)-polynomials of rational polytopes. Zbl 1521.52005
Bajo, Esme; Beck, Matthias
2
2023
Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes. Zbl 1494.52013
Beck, Matthias; Braun, Benjamin; Vindas-Meléndez, Andrés R.
2
2022
Lonely runner polyhedra. Zbl 1421.52017
Beck, Matthias; Hoşten, Serkan; Schymura, Matthias
2
2019
A bivariate chromatic polynomial for signed graphs. Zbl 1327.05099
Beck, Matthias; Hardin, Mela
2
2015
Enumeration of \(4 \times 4\) magic squares. Zbl 1227.05092
Beck, Matthias; van Herick, Andrew
1
2011
Partially magic labelings and the antimagic graph conjecture. Zbl 1385.05064
Beck, Matthias; Farahmand, Maryam
1
2017
The art of proof. Basic training for deeper mathematics. Zbl 1198.00009
Beck, Matthias; Geoghegan, Ross
1
2010
Refined upper bounds for the linear Diophantine problem of Frobenius. Zbl 1055.11021
Beck, Matthias; Zacks, Shelemyahu
1
2004
Variations on a generating-function theme: enumerating compositions with parts avoiding an arithmetic sequence. Zbl 1369.11071
Beck, Matthias; Robbins, Neville
1
2015
Nowhere-zero \(\vec{k}\)-flows on graphs. Zbl 1307.05089
Beck, Matthias; Cuyjet, Alyssa; Kirby, Gordon Rojas; Stubblefield, Molly; Young, Michael
1
2014
Boundary \(H^\ast\)-polynomials of rational polytopes. Zbl 1521.52005
Bajo, Esme; Beck, Matthias
2
2023
Decompositions of Ehrhart \(h^*\)-polynomials for rational polytopes. Zbl 1494.52013
Beck, Matthias; Braun, Benjamin; Vindas-Meléndez, Andrés R.
2
2022
Frobenius coin-exchange generating functions. Zbl 1444.11045
Bardomero, Leonardo; Beck, Matthias
4
2020
\(h^\ast \)-polynomials of zonotopes. Zbl 1402.05100
Beck, Matthias; Jochemko, Katharina; McCullough, Emily
22
2019
Smooth centrally symmetric polytopes in dimension 3 are IDP. Zbl 1429.52015
Beck, Matthias; Haase, Christian; Higashitani, Akihiro; Hofscheier, Johannes; Jochemko, Katharina; Katthän, Lukas; Michałek, Mateusz
4
2019
Lonely runner polyhedra. Zbl 1421.52017
Beck, Matthias; Hoşten, Serkan; Schymura, Matthias
2
2019
Combinatorial reciprocity theorems. An invitation to enumerative geometric combinatorics. Zbl 1411.05001
Beck, Matthias; Sanyal, Raman
33
2018
Reciprocity theorems for Bettin-Conrey sums. Zbl 1422.11088
Auli, Juan S.; Bayad, Abdelmejid; Beck, Matthias
4
2017
Partially magic labelings and the antimagic graph conjecture. Zbl 1385.05064
Beck, Matthias; Farahmand, Maryam
1
2017
Generating functions and triangulations for lecture hall cones. Zbl 1342.05009
Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis
6
2016
Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002
Beck, Matthias; Robins, Sinai
131
2015
\(s\)-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones. Zbl 1306.05012
Beck, Matthias; Braun, Benjamin; Köppe, Matthias; Savage, Carla D.; Zafeirakopoulos, Zafeirakis
12
2015
Partitions with fixed differences between largest and smallest parts. Zbl 1328.11106
Andrews, George E.; Beck, Matthias; Robbins, Neville
11
2015
Very ample and Koszul segmental fibrations. Zbl 1331.52020
Beck, Matthias; Delgado, Jessica; Gubeladze, Joseph; Michałek, Mateusz
7
2015
On weak chromatic polynomials of mixed graphs. Zbl 1306.05100
Beck, Matthias; Blado, Daniel; Crawford, Joseph; Jean-Louis, Taïna; Young, Michael
5
2015
Parking functions, Shi arrangements, and mixed graphs. Zbl 1332.05016
Beck, Matthias; Berrizbeitia, Ana; Dairyko, Michael; Rodriguez, Claudia; Ruiz, Amanda; Veeneman, Schuyler
5
2015
A bivariate chromatic polynomial for signed graphs. Zbl 1327.05099
Beck, Matthias; Hardin, Mela
2
2015
Variations on a generating-function theme: enumerating compositions with parts avoiding an arithmetic sequence. Zbl 1369.11071
Beck, Matthias; Robbins, Neville
1
2015
Relations for Bernoulli-Barnes numbers and Barnes zeta functions. Zbl 1369.11018
Bayad, Abdelmejid; Beck, Matthias
17
2014
Enumerating colorings, tensions and flows in cell complexes. Zbl 1311.05086
Beck, Matthias; Breuer, Felix; Godkin, Logan; Martin, Jeremy L.
11
2014
Rademacher-Carlitz polynomials. Zbl 1318.11057
Beck, Matthias; Kohl, Florian
2
2014
Nowhere-zero \(\vec{k}\)-flows on graphs. Zbl 1307.05089
Beck, Matthias; Cuyjet, Alyssa; Kirby, Gordon Rojas; Stubblefield, Molly; Young, Michael
1
2014
Euler-Mahonian statistics via polyhedral geometry. Zbl 1283.05011
Beck, Matthias; Braun, Benjamin
9
2013
Lattice-point generating functions for free sums of convex sets. Zbl 1283.52003
Beck, Matthias; Jayawant, Pallavi; McAllister, Tyrrell B.
9
2013
Mahonian partition identities via polyhedral geometry. Zbl 1305.05007
Beck, Matthias; Braun, Benjamin; Le, Nguyen
4
2013
Combinatorial reciprocity theorems. Zbl 1254.05013
Beck, Matthias
6
2012
Enumeration of Golomb rulers and acyclic orientations of mixed graphs. Zbl 1253.05014
Beck, Matthias; Bogart, Tristram; Pham, Tu
6
2012
Nowhere-harmonic colorings of graphs. Zbl 1238.05083
Beck, Matthias; Braun, Benjamin
3
2012
Flows on simplicial complexes. Zbl 1412.05228
Beck, Matthias; Kemper, Yvonne
3
2012
Root polytopes and growth series of root lattices. Zbl 1261.52010
Ardila, Federico; Beck, Matthias; Hoşten, Serkan; Pfeifle, Julian; Seashore, Kim
34
2011
An extreme family of generalized Frobenius numbers. Zbl 1245.11038
Beck, Matthias; Kifer, Curtis
7
2011
Bernoulli-Dedekind sums. Zbl 1262.11056
Beck, Matthias; Chavez, Anastasia
3
2011
Enumeration of \(4 \times 4\) magic squares. Zbl 1227.05092
Beck, Matthias; van Herick, Andrew
1
2011
On the log-concavity of Hilbert series of Veronese subrings and Ehrhart series. Zbl 1230.05017
Beck, Matthias; Stapledon, Alan
20
2010
Finite trigonometric character sums via discrete Fourier analysis. Zbl 1268.11106
Beck, Matthias; Halloran, Mary
12
2010
Positivity theorems for solid-angle polynomials. Zbl 1257.52007
Beck, Matthias; Robins, Sinai; Sam, Steven V.
6
2010
Six little squares and how their numbers grow. Zbl 1230.05062
Beck, Matthias; Zaslavsky, Thomas
5
2010
Symmetrically constrained compositions. Zbl 1218.05019
Beck, Matthias; Gessel, Ira M.; Lee, Sunyoung; Savage, Carla D.
2
2010
The art of proof. Basic training for deeper mathematics. Zbl 1198.00009
Beck, Matthias; Geoghegan, Ross
1
2010
Formulas of Brion, Lawrence, and Varchenko on rational generating functions for cones. Zbl 1185.05007
Beck, Matthias; Haase, Christian; Sottile, Frank
10
2009
Grid graphs, Gorenstein polytopes, and domino stackings. Zbl 1189.05142
Beck, Matthias; Haase, Christian; Sam, Steven V
2
2009
Maximal periods of (Ehrhart) quasi-polynomials. Zbl 1152.05006
Beck, Matthias; Sam, Steven V.; Woods, Kevin M.
11
2008
Let me tell you my favorite lattice-point problem …. Zbl 1165.52013
Beck, Matthias; Nill, Benjamin; Reznick, Bruce; Savage, Carla; Soprunov, Ivan; Xu, Zhiqiang
6
2008
Dedekind-Carlitz polynomials as lattice-point enumerators in rational polyhedra. Zbl 1144.11070
Beck, Matthias; Haase, Christian; Matthews, Asia R.
4
2008
Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013
Beck, Matthias; Robins, Sinai
277
2007
Irrational proofs for three theorems of Stanley. Zbl 1109.05017
Beck, Matthias; Sottile, Frank
11
2007
Inside-out polytopes. Zbl 1107.52009
Beck, Matthias; Zaslavsky, Thomas
38
2006
The number of nowhere-zero flows on graphs and signed graphs. Zbl 1119.05105
Beck, Matthias; Zaslavsky, Thomas
24
2006
Volume computation for polytopes and partition functions for classical root systems. Zbl 1105.52001
Baldoni, M. Welleda; Beck, Matthias; Cochet, Charles; Vergne, Michele
18
2006
Cyclotomic polytopes and growth series of cyclotomic lattices. Zbl 1175.11030
Beck, Matthias; Hoşten, Serkan
9
2006
An enumerative geometry for magic and magilatin labellings. Zbl 1116.05071
Beck, Matthias; Zaslavsky, Thomas
4
2006
Geometric proofs of polynomial reciprocity laws of Carlitz, Berndt, and Dieter. Zbl 1166.11015
Beck, Matthias
4
2006
A unifying generalization of Sperner’s theorem. Zbl 1094.05055
Beck, M.; Wang, Xueqin; Zaslavsky, T.
3
2006
Coefficients and roots of Ehrhart polynomials. Zbl 1153.52300
Beck, M.; De Loera, Jesús A.; Develin, M.; Pfeifle, J.; Stanley, R. P.
34
2005
Determinations of analogues of Gauss sums and other trigonometric sums. Zbl 1088.11064
Beck, Matthias; Berndt, Bruce C.; Chan, O-Yeat; Zaharescu, Alexandru
13
2005
Problems from the Cottonwood Room. Zbl 1136.00300
Beck, Matthias; Chen, Beifang; Fukshansky, Lenny; Haase, Christian; Knutson, Allen; Reznick, Bruce; Robins, Sinai; Schürmann, Achill
4
2005
Integer points in polyhedra. Geometry, number theory, algebra, optimization. Proceedings of an AMS-IMS-SIAM joint summer research conference on integer points in polyhedra, Snowbird, UT, USA, July 13–17, 2003. Zbl 1065.00009
2
2005
A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023
Beck, Matthias; Robins, Sinai
7
2004
The partial-fractions method for counting solutions to integral linear systems. Zbl 1196.11054
Beck, Matthias
7
2004
Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017
Beck, Matthias; Robins, Sinai
4
2004
Refined upper bounds for the linear Diophantine problem of Frobenius. Zbl 1055.11021
Beck, Matthias; Zacks, Shelemyahu
1
2004
The Ehrhart polynomial of the Birkhoff polytope. Zbl 1065.52007
Beck, Matthias; Pixton, Dennis
37
2003
Dedekind cotangent sums. Zbl 1061.11043
Beck, Matthias
17
2003
The number of “magic” squares, cubes, and hypercubes. Zbl 1043.05501
Beck, Matthias; Cohen, Moshe; Cuomo, Jessica; Gribelyuk, Paul
4
2003
Some experimental results on the Frobenius problem. Zbl 1076.11015
Beck, Matthias; Einstein, David; Zacks, Shelemyahu
3
2003
A Meshalkin theorem for projective geometries. Zbl 1018.05100
Beck, Matthias; Zaslavsky, Thomas
3
2003
The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026
Beck, Matthias; Diaz, Ricardo; Robins, Sinai
23
2002
Multidimensional Ehrhart reciprocity. Zbl 1005.52006
Beck, Matthias
10
2002
Explicit and efficient formulas for the lattice point count in rational polygons using Dedekind-Rademacher sums. Zbl 1009.11058
Beck, Matthias; Robins, Sinai
5
2002
A shorter, simpler, stronger proof of the Meshalkin–Hochberg–Hirsch bounds on componentwise antichains. Zbl 1028.05111
Beck, Matthias; Zaslavsky, Thomas
3
2002
The polynomial part of a restricted partition function related to the Frobenius problem. Zbl 0982.05010
Beck, Matthias; Gessel, Ira M.; Komatsu, Takao
22
2001
Counting lattice points by means of the residue theorem. Zbl 0988.11045
Beck, Matthias
12
2000
A closer look at lattice points in rational simplices. Zbl 0934.11048
Beck, Matthias
5
1999
The reciprocity law for Dedekind sums via the constant Ehrhart coefficient. Zbl 0979.05004
Beck, Matthias
4
1999
all top 5

Cited by 989 Authors

43 Beck, Matthias
24 Higashitani, Akihiro
17 Tsuchiya, Akiyoshi
16 Hibi, Takayuki
15 Braun, Benjamin
13 Bayad, Abdelmejid
11 Ohsugi, Hidefumi
11 Robins, Sinai
10 Sanyal, Raman
10 Zaslavsky, Thomas
9 Haase, Christian Alexander
9 Jochemko, Katharina Victoria
9 Nill, Benjamin
9 Santos, Francisco
9 Stapledon, Alan
8 Breuer, Felix
8 De Loera, Jesús A.
8 Ehrenborg, Richard
8 Hanusa, Christopher R. H.
8 Michałek, Mateusz
8 Solus, Liam T.
7 Henk, Martin
7 Komatsu, Takao
7 Mészáros, Karola
7 Morales, Alejandro Henry
7 Olsen, McCabe
7 O’Neill, Christopher
7 Pak, Igor
7 Simsek, Yilmaz
6 Bruns, Winfried
6 Chen, Beifang
6 Gubeladze, Joseph
6 Harris, Pamela E.
6 Kim, Jang Soo
6 Liu, Fu
6 Schymura, Matthias
6 Vergne, Michèle
6 Woods, Kevin M.
6 Yoshinaga, Masahiko
5 Ferroni, Luis
5 Hetyei, Gábor
5 Juhnke-Kubitzke, Martina
5 Kohl, Florian
5 Köppe, Matthias
5 Ma, Jun
5 Ma, Shi-Mei
5 McAllister, Tyrrell B.
5 Omar, Mohamed
5 Sagan, Bruce Eli
5 Savage, Carla Diane
5 Schürmann, Achill
5 Yeh, Yeong-Nan
4 Ardila, Federico
4 Baldoni-Silva, Maria Welleda
4 Chaiken, Seth
4 Cristofaro-Gardiner, Daniel
4 Davis, Robert Talton
4 Hamahata, Yoshinori
4 Insko, Erik
4 Kasprzyk, Alexander M.
4 Lauret, Emilio A.
4 Lenz, Matthias
4 Lin, Bernard L. S.
4 Moci, Luca
4 Paffenholz, Andreas
4 Ramírez Alfonsín, Jorge Luis
4 Readdy, Margaret A.
4 Sam, Steven V.
4 Vindas-Meléndez, Andrés R.
4 Welker, Volkmar
4 Xin, Guoce
4 Yeh, Jean
4 Yip, Martha
4 Zhang, Philip B.
3 Backman, Spencer
3 Balletti, Gabriele
3 Batyrev, Victor V.
3 Blanco, Mónica
3 Brändén, Petter
3 Brandolini, Luca
3 Can, Mumun
3 Cherniavsky, Yonah
3 Cimpoeaş, Mircea
3 Codenotti, Giulia
3 Colzani, Leonardo
3 Diaconis, Persi Warren
3 Elia, Sophia
3 Hajli, Mounir
3 Hanely, Derek
3 Hegedűs, Gábor
3 Hlavacek, Max
3 Hofscheier, Johannes
3 Hopkins, Samuel Francis
3 Isaacson, Brad
3 Kauers, Manuel
3 Khare, Apoorva
3 Klivans, Caroline Jane
3 Kochol, Martin
3 Kronholm, Brandt
3 Kurz, Sascha
...and 889 more Authors
all top 5

Cited in 209 Serials

40 Discrete & Computational Geometry
38 Journal of Combinatorial Theory. Series A
38 The Electronic Journal of Combinatorics
31 Advances in Applied Mathematics
28 Advances in Mathematics
22 Discrete Mathematics
22 European Journal of Combinatorics
21 Séminaire Lotharingien de Combinatoire
21 Annals of Combinatorics
17 Transactions of the American Mathematical Society
16 Journal of Algebraic Combinatorics
16 The Ramanujan Journal
12 Proceedings of the American Mathematical Society
11 Journal of Number Theory
11 SIAM Journal on Discrete Mathematics
11 Selecta Mathematica. New Series
10 Graphs and Combinatorics
9 Journal of Symbolic Computation
9 International Journal of Number Theory
9 Algebraic Combinatorics
8 Mathematische Zeitschrift
8 Mathematika
6 American Mathematical Monthly
6 Discrete Applied Mathematics
6 Journal of Mathematical Analysis and Applications
6 Journal of Mathematical Physics
6 Beiträge zur Algebra und Geometrie
6 Integers
5 Journal of Algebra
5 Journal of Pure and Applied Algebra
5 Combinatorial Theory
4 Communications in Algebra
4 Israel Journal of Mathematics
4 Mathematical Methods in the Applied Sciences
4 Annales de l’Institut Fourier
4 Duke Mathematical Journal
4 Journal of Combinatorial Theory. Series B
4 Journal of Computational and Applied Mathematics
4 Michigan Mathematical Journal
4 Semigroup Forum
4 Acta Mathematica Hungarica
4 Integral Transforms and Special Functions
4 Journal of High Energy Physics
4 Research in the Mathematical Sciences
4 Research in Number Theory
3 Bulletin of the Australian Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 The Mathematical Intelligencer
3 Acta Arithmetica
3 Functiones et Approximatio. Commentarii Mathematici
3 Monatshefte für Mathematik
3 Pacific Journal of Mathematics
3 Tôhoku Mathematical Journal. Second Series
3 Combinatorica
3 Order
3 Linear Algebra and its Applications
3 Journal of Mathematical Imaging and Vision
3 Journal of Integer Sequences
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Ars Mathematica Contemporanea
3 Discrete Analysis
2 Communications in Mathematical Physics
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 Functional Analysis and its Applications
2 Journal of Approximation Theory
2 Journal of Geometry
2 The Journal of Symbolic Logic
2 Mathematische Annalen
2 Osaka Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Theoretical Computer Science
2 Social Choice and Welfare
2 Revista Matemática Iberoamericana
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Journal of Knot Theory and its Ramifications
2 Russian Journal of Mathematical Physics
2 Turkish Journal of Mathematics
2 Finite Fields and their Applications
2 Transformation Groups
2 Geometry & Topology
2 Advances in Geometry
2 Foundations of Computational Mathematics
2 Mediterranean Journal of Mathematics
2 Discrete Optimization
2 Contributions to Discrete Mathematics
2 Algebra & Number Theory
2 São Paulo Journal of Mathematical Sciences
2 Mathematical Programming Computation
2 Kyoto Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Special Matrices
2 Arnold Mathematical Journal
2 SIAM Journal on Applied Algebra and Geometry
2 Enumerative Combinatorics and Applications
1 Computers & Mathematics with Applications
1 Indian Journal of Pure & Applied Mathematics
1 Information Processing Letters
1 Journal d’Analyse Mathématique
...and 109 more Serials
all top 5

Cited in 51 Fields

374 Combinatorics (05-XX)
362 Convex and discrete geometry (52-XX)
238 Number theory (11-XX)
92 Algebraic geometry (14-XX)
77 Commutative algebra (13-XX)
46 Group theory and generalizations (20-XX)
38 Order, lattices, ordered algebraic structures (06-XX)
30 Computer science (68-XX)
26 Nonassociative rings and algebras (17-XX)
26 Special functions (33-XX)
21 Operations research, mathematical programming (90-XX)
20 Manifolds and cell complexes (57-XX)
19 Numerical analysis (65-XX)
18 Real functions (26-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
15 Geometry (51-XX)
15 Probability theory and stochastic processes (60-XX)
14 Harmonic analysis on Euclidean spaces (42-XX)
13 Associative rings and algebras (16-XX)
13 Approximations and expansions (41-XX)
13 Statistics (62-XX)
13 Quantum theory (81-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Functions of a complex variable (30-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Differential geometry (53-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Field theory and polynomials (12-XX)
6 General and overarching topics; collections (00-XX)
6 Algebraic topology (55-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Abstract harmonic analysis (43-XX)
4 Integral transforms, operational calculus (44-XX)
4 Operator theory (47-XX)
4 Statistical mechanics, structure of matter (82-XX)
4 Biology and other natural sciences (92-XX)
4 Information and communication theory, circuits (94-XX)
3 Mathematical logic and foundations (03-XX)
3 Topological groups, Lie groups (22-XX)
3 General topology (54-XX)
3 Systems theory; control (93-XX)
2 Potential theory (31-XX)
2 Partial differential equations (35-XX)
2 Relativity and gravitational theory (83-XX)
1 Category theory; homological algebra (18-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Mechanics of deformable solids (74-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year