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Author ID: robins.sinai Recent zbMATH articles by "Robins, Sinai"
Published as: Robins, Sinai; Robins, S.
Homepage: http://www.ntu.edu.sg/home/RSinai/Site/Home.html
External Links: MGP · Wikidata
Documents Indexed: 64 Publications since 1994, including 5 Books and 13 Additional arXiv Preprints
Reviewing Activity: 2 Reviews
Co-Authors: 55 Co-Authors with 58 Joint Publications
1,800 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 724 times in 649 Documents Cited by Year
Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013
Beck, Matthias; Robins, Sinai
284
2007
Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002
Beck, Matthias; Robins, Sinai
144
2015
Generalized Dedekind \(\eta\)-products. Zbl 0808.11031
Robins, Sinai
33
1994
The Ehrhart polynomial of a lattice polytope. Zbl 0874.52009
Diaz, Ricardo; Robins, Sinai
28
1997
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
23
1995
The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026
Beck, Matthias; Diaz, Ricardo; Robins, Sinai
23
2002
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
22
2012
Translational tilings by a polytope, with multiplicity. Zbl 1299.52019
Gravin, Nick; Robins, Sinai; Shiryaev, Dmitry
19
2012
Frobenius problem and the covering radius of a lattice. Zbl 1136.11307
Fukshansky, Lenny; Robins, Sinai
17
2007
Easy proofs of Riemann’s functional equation for \(\zeta(s)\) and of Lipschitz summation. Zbl 0972.11083
Knopp, Marvin; Robins, Sinai
16
2001
Lacunarity of Dedekind \(\eta\)-products. Zbl 0817.11027
Gordon, Basil; Robins, Sinai
12
1995
Structure results for multiple tilings in 3D. Zbl 1283.52026
Gravin, Nick; Kolountzakis, Mihail N.; Robins, Sinai; Shiryaev, Dmitry
11
2013
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
10
1995
Pick’s formula via the Weierstrass \(\wp\)-function. Zbl 0834.52008
Diaz, Ricardo; Robins, Sinai
9
1995
When are two Dedekind sums equal? Zbl 1241.11052
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
8
2011
A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023
Beck, Matthias; Robins, Sinai
8
2004
The Ehrhart polynomial of a lattice \(n\)-simplex. Zbl 0871.52008
Diaz, Ricardo; Robins, Sinai
7
1996
Positivity theorems for solid-angle polynomials. Zbl 1257.52007
Beck, Matthias; Robins, Sinai; Sam, Steven V.
6
2010
Heegaard Floer correction terms and Dedekind-Rademacher sums. Zbl 1271.57039
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
6
2013
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
Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017
Beck, Matthias; Robins, Sinai
4
2004
Algebraic vertices of non-convex polyhedra. Zbl 1364.52011
Akopyan, Arseniy; Bárány, Imre; Robins, Sinai
4
2017
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
A friendly invitation to Fourier analysis on polytopes. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. Zbl 1507.52001
Robins, Sinai
3
2021
Tiling, circle packing and exponential sums over finite fields. Zbl 1438.43005
Haessig, C. D.; Iosevich, A.; Pakianathan, J.; Robins, S.; Vaicunas, L.
3
2018
Tiling lattices with sublattices. I. Zbl 1274.52033
Feldman, David; Propp, James; Robins, Sinai
2
2011
Pick’s theorem and convergence of multiple Fourier series. Zbl 1462.42015
Brandolini, L.; Colzani, L.; Robins, S.; Travaglini, G.
2
2021
Primitive points in rational polygons. Zbl 1462.11053
Bárány, Imre; Martin, Greg; Naslund, Eric; Robins, Sinai
2
2020
Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon. Zbl 1458.05113
Fernandes, Cristina G.; de Pina, José C.; Ramírez Alfonsín, Jorge Luis; Robins, Sinai
2
2021
Hecke operators on rational functions. I. Zbl 1136.11302
Gil, Juan B.; Robins, Sinai
2
2005
The action of Hecke operators on hypergeometric functions. Zbl 1210.11052
Moll, Victor H.; Robins, Sinai; Soodhalter, Kirk
1
2010
Period collapse in Ehrhart quasi-polynomials of \(\{1,3\}\)-graphs. Zbl 1498.05132
Fernandes, Cristina G.; De Pina, José C.; Ramírez Alfonsín, Jorge Luis; Robins, Sinai
1
2022
An Euler-Maclaurin formula for polygonal sums. Zbl 1486.42007
Brandolini, Luca; Colzani, Leonardo; Robins, Sinai; Travaglini, Giancarlo
1
2022
Zeros and irreducibility of polynomials with gcd powers as coefficients. Zbl 1308.12001
Dilcher, Karl; Robins, Sinai
1
2015
Cone theta functions and spherical polytopes with rational volumes. (Cône fonctions thêta et polytopes sphériques avec des volumes rationnels.) Zbl 1327.52031
Folsom, Amanda; Kohnen, Winfried; Robins, Sinai
1
2015
Generalized solid-angle theory for real polytopes. Zbl 1236.52012
Desario, David; Robins, Sinai
1
2011
Tiling the integer lattice with translated sublattices. Zbl 1373.52019
Borodzik, Maciej; Nguyen, Danny; Robins, Sinai
1
2016
The integer point transform as a complete invariant. Zbl 1546.52015
Robins, Sinai
1
2023
The integer point transform as a complete invariant. Zbl 1546.52015
Robins, Sinai
1
2023
Period collapse in Ehrhart quasi-polynomials of \(\{1,3\}\)-graphs. Zbl 1498.05132
Fernandes, Cristina G.; De Pina, José C.; Ramírez Alfonsín, Jorge Luis; Robins, Sinai
1
2022
An Euler-Maclaurin formula for polygonal sums. Zbl 1486.42007
Brandolini, Luca; Colzani, Leonardo; Robins, Sinai; Travaglini, Giancarlo
1
2022
A friendly invitation to Fourier analysis on polytopes. Paper from the 33rd Brazilian mathematics colloquium – 33°Colóquio Brasileiro de Matemática, IMPA, Rio de Janeiro, Brazil, August 2–6, 2021. Zbl 1507.52001
Robins, Sinai
3
2021
Pick’s theorem and convergence of multiple Fourier series. Zbl 1462.42015
Brandolini, L.; Colzani, L.; Robins, S.; Travaglini, G.
2
2021
Cubic graphs, their Ehrhart quasi-polynomials, and a scissors congruence phenomenon. Zbl 1458.05113
Fernandes, Cristina G.; de Pina, José C.; Ramírez Alfonsín, Jorge Luis; Robins, Sinai
2
2021
Primitive points in rational polygons. Zbl 1462.11053
Bárány, Imre; Martin, Greg; Naslund, Eric; Robins, Sinai
2
2020
Tiling, circle packing and exponential sums over finite fields. Zbl 1438.43005
Haessig, C. D.; Iosevich, A.; Pakianathan, J.; Robins, S.; Vaicunas, L.
3
2018
Algebraic vertices of non-convex polyhedra. Zbl 1364.52011
Akopyan, Arseniy; Bárány, Imre; Robins, Sinai
4
2017
Tiling the integer lattice with translated sublattices. Zbl 1373.52019
Borodzik, Maciej; Nguyen, Danny; Robins, Sinai
1
2016
Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002
Beck, Matthias; Robins, Sinai
144
2015
Zeros and irreducibility of polynomials with gcd powers as coefficients. Zbl 1308.12001
Dilcher, Karl; Robins, Sinai
1
2015
Cone theta functions and spherical polytopes with rational volumes. (Cône fonctions thêta et polytopes sphériques avec des volumes rationnels.) Zbl 1327.52031
Folsom, Amanda; Kohnen, Winfried; Robins, Sinai
1
2015
Structure results for multiple tilings in 3D. Zbl 1283.52026
Gravin, Nick; Kolountzakis, Mihail N.; Robins, Sinai; Shiryaev, Dmitry
11
2013
Heegaard Floer correction terms and Dedekind-Rademacher sums. Zbl 1271.57039
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
6
2013
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
22
2012
Translational tilings by a polytope, with multiplicity. Zbl 1299.52019
Gravin, Nick; Robins, Sinai; Shiryaev, Dmitry
19
2012
When are two Dedekind sums equal? Zbl 1241.11052
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
8
2011
Tiling lattices with sublattices. I. Zbl 1274.52033
Feldman, David; Propp, James; Robins, Sinai
2
2011
Generalized solid-angle theory for real polytopes. Zbl 1236.52012
Desario, David; Robins, Sinai
1
2011
Positivity theorems for solid-angle polynomials. Zbl 1257.52007
Beck, Matthias; Robins, Sinai; Sam, Steven V.
6
2010
The action of Hecke operators on hypergeometric functions. Zbl 1210.11052
Moll, Victor H.; Robins, Sinai; Soodhalter, Kirk
1
2010
Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013
Beck, Matthias; Robins, Sinai
284
2007
Frobenius problem and the covering radius of a lattice. Zbl 1136.11307
Fukshansky, Lenny; Robins, Sinai
17
2007
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
Hecke operators on rational functions. I. Zbl 1136.11302
Gil, Juan B.; Robins, Sinai
2
2005
A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023
Beck, Matthias; Robins, Sinai
8
2004
Dedekind sums: a combinatorial-geometric viewpoint. Zbl 1070.11017
Beck, Matthias; Robins, Sinai
4
2004
The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026
Beck, Matthias; Diaz, Ricardo; Robins, Sinai
23
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
Easy proofs of Riemann’s functional equation for \(\zeta(s)\) and of Lipschitz summation. Zbl 0972.11083
Knopp, Marvin; Robins, Sinai
16
2001
The Ehrhart polynomial of a lattice polytope. Zbl 0874.52009
Diaz, Ricardo; Robins, Sinai
28
1997
The Ehrhart polynomial of a lattice \(n\)-simplex. Zbl 0871.52008
Diaz, Ricardo; Robins, Sinai
7
1996
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
23
1995
Lacunarity of Dedekind \(\eta\)-products. Zbl 0817.11027
Gordon, Basil; Robins, Sinai
12
1995
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
10
1995
Pick’s formula via the Weierstrass \(\wp\)-function. Zbl 0834.52008
Diaz, Ricardo; Robins, Sinai
9
1995
Generalized Dedekind \(\eta\)-products. Zbl 0808.11031
Robins, Sinai
33
1994
all top 5

Cited by 873 Authors

33 Beck, Matthias
18 Robins, Sinai
17 Higashitani, Akihiro
15 Tsuchiya, Akiyoshi
14 Braun, Benjamin
10 Henk, Martin
9 Haase, Christian Alexander
9 Hibi, Takayuki
8 Fukshansky, Lenny
8 Jochemko, Katharina Victoria
8 Lasserre, Jean-Bernard
8 Nill, Benjamin
8 Sanyal, Raman
7 Breuer, Felix
7 De Loera, Jesús A.
7 O’Neill, Christopher
7 Stapledon, Alan
7 Yau, Stephen Shing-Toung
6 Aliev, Iskander M.
6 Ferroni, Luis
6 Heim, Bernhard Ernst
6 Liu, Fu
6 Neuhauser, Markus
6 Schürmann, Achill
6 Solus, Liam T.
5 Du, Julia Q. D.
5 Kohl, Florian
5 Mao, Renrong
5 Mészáros, Karola
5 Morales, Alejandro Henry
5 Olsen, McCabe
5 Santos, Francisco
4 Bayad, Abdelmejid
4 Cristofaro-Gardiner, Daniel
4 Elia, Sophia
4 Hanusa, Christopher R. H.
4 Köppe, Matthias
4 McAllister, Tyrrell B.
4 Michałek, Mateusz
4 Ohsugi, Hidefumi
4 Ono, Ken
4 Ramírez Alfonsín, Jorge Luis
4 Sam, Steven V.
4 Savage, Carla Diane
4 Schymura, Matthias
4 Tang, Dazhao
4 Vergne, Michèle
4 Woods, Kevin M.
4 Yoshinaga, Masahiko
4 Zong, Chuanming
3 Ardila, Federico
3 Balletti, Gabriele
3 Batyrev, Victor V.
3 Brandolini, Luca
3 Bruns, Winfried
3 Choi, Youn-Seo
3 Colzani, Leonardo
3 Davis, Robert Talton
3 Engel, Konrad
3 Garvan, Frank G.
3 Girstmair, Kurt
3 Gravin, Nick
3 Gubeladze, Joseph
3 Hanely, Derek
3 Hofscheier, Johannes
3 Juhnke-Kubitzke, Martina
3 Karshon, Yael
3 Kauers, Manuel
3 Kołodziejczyk, Krzysztof
3 Kolountzakis, Mihail N.
3 Kousholt, Astrid
3 Kronholm, Brandt
3 Kurz, Sascha
3 Lauret, Emilio A.
3 Lev, Nir
3 Linke, Eva
3 Ludwig, Monika
3 Makhlin, Igor
3 O’Sullivan, Cormac
3 Paffenholz, Andreas
3 Pak, Igor
3 Pasechnik, Dmitrii V.
3 Shapiro, Boris Zalmanovich
3 Shparlinski, Igor E.
3 Sternberg, Shlomo
3 Supina, Mariel
3 Tsukerman, Emmanuel
3 Vaishya, Lalit
3 Vindas-Meléndez, Andrés R.
3 Weitsman, Jonathan
3 Yamada, Yumi
3 Yang, Qi
3 Yip, Martha
3 Yoshida, Koutarou
3 Zafeirakopoulos, Zafeirakis
3 Zuo, Huaiqing
2 Ashikaga, Tadashi
2 Athanasiadis, Christos A.
2 Averkov, Gennadiy
2 Bajo, Esme
...and 773 more Authors
all top 5

Cited in 196 Serials

38 Discrete & Computational Geometry
25 Advances in Mathematics
22 The Ramanujan Journal
20 The Electronic Journal of Combinatorics
19 Journal of Combinatorial Theory. Series A
16 European Journal of Combinatorics
16 Advances in Applied Mathematics
16 Annals of Combinatorics
15 Journal of Number Theory
15 International Journal of Number Theory
14 Proceedings of the American Mathematical Society
14 Transactions of the American Mathematical Society
13 Discrete Mathematics
12 Journal of Algebraic Combinatorics
10 Journal of Mathematical Analysis and Applications
10 Mathematische Zeitschrift
9 Selecta Mathematica. New Series
9 Séminaire Lotharingien de Combinatoire
8 SIAM Journal on Discrete Mathematics
8 Research in Number Theory
7 Beiträge zur Algebra und Geometrie
7 Mathematika
7 Integers
5 American Mathematical Monthly
5 Journal of Mathematical Physics
5 Michigan Mathematical Journal
5 Graphs and Combinatorics
5 Algebraic Combinatorics
5 Combinatorial Theory
4 Bulletin of the Australian Mathematical Society
4 Mathematics of Computation
4 Acta Arithmetica
4 Functiones et Approximatio. Commentarii Mathematici
4 Mathematische Annalen
4 Semigroup Forum
4 Combinatorica
4 Journal of Symbolic Computation
4 Journal of Integer Sequences
4 Journal of High Energy Physics
4 Research in the Mathematical Sciences
3 Communications in Algebra
3 Discrete Applied Mathematics
3 Journal d’Analyse Mathématique
3 Rocky Mountain Journal of Mathematics
3 The Mathematical Intelligencer
3 Duke Mathematical Journal
3 Journal of the London Mathematical Society. Second Series
3 Journal of Pure and Applied Algebra
3 Pacific Journal of Mathematics
3 Journal of the American Mathematical Society
3 Journal of Mathematical Imaging and Vision
3 Journal of Mathematical Sciences (New York)
3 Communications in Mathematics
3 Discrete Analysis
3 SIAM Journal on Applied Algebra and Geometry
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Archiv der Mathematik
2 Bulletin of the London Mathematical Society
2 Functional Analysis and its Applications
2 Journal of Algebra
2 Journal of Approximation Theory
2 Journal of Computational and Applied Mathematics
2 Journal of Geometry
2 Journal of the Mathematical Society of Japan
2 Journal für die Reine und Angewandte Mathematik
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Monatshefte für Mathematik
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Theoretical Computer Science
2 Tôhoku Mathematical Journal. Second Series
2 Operations Research Letters
2 Acta Mathematica Hungarica
2 Social Choice and Welfare
2 Revista Matemática Iberoamericana
2 Aequationes Mathematicae
2 Expositiones Mathematicae
2 Journal of Inverse and Ill-Posed Problems
2 Advances in Computational Mathematics
2 Geometry & Topology
2 Journal of the European Mathematical Society (JEMS)
2 Advances in Geometry
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Mediterranean Journal of Mathematics
2 Discrete Optimization
2 Kyoto Journal of Mathematics
2 Analysis and Mathematical Physics
2 Moscow Journal of Combinatorics and Number Theory
2 European Journal of Mathematics
2 PUMP Journal of Undergraduate Research
1 Acta Mechanica
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Lithuanian Mathematical Journal
1 Mathematical Methods in the Applied Sciences
...and 96 more Serials
all top 5

Cited in 51 Fields

314 Convex and discrete geometry (52-XX)
259 Number theory (11-XX)
228 Combinatorics (05-XX)
74 Algebraic geometry (14-XX)
55 Commutative algebra (13-XX)
39 Group theory and generalizations (20-XX)
27 Computer science (68-XX)
24 Order, lattices, ordered algebraic structures (06-XX)
24 Special functions (33-XX)
23 Operations research, mathematical programming (90-XX)
18 Numerical analysis (65-XX)
17 Real functions (26-XX)
17 Manifolds and cell complexes (57-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
16 Quantum theory (81-XX)
15 Integral transforms, operational calculus (44-XX)
14 Nonassociative rings and algebras (17-XX)
14 Geometry (51-XX)
13 Differential geometry (53-XX)
12 Approximations and expansions (41-XX)
11 Information and communication theory, circuits (94-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Associative rings and algebras (16-XX)
9 Several complex variables and analytic spaces (32-XX)
9 Probability theory and stochastic processes (60-XX)
8 Functions of a complex variable (30-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Field theory and polynomials (12-XX)
7 Dynamical systems and ergodic theory (37-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Operator theory (47-XX)
4 Measure and integration (28-XX)
4 Partial differential equations (35-XX)
4 Algebraic topology (55-XX)
4 Statistics (62-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Abstract harmonic analysis (43-XX)
3 Biology and other natural sciences (92-XX)
2 General and overarching topics; collections (00-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Functional analysis (46-XX)
2 Mechanics of deformable solids (74-XX)
2 Relativity and gravitational theory (83-XX)
2 Systems theory; control (93-XX)
1 Mathematical logic and foundations (03-XX)
1 Category theory; homological algebra (18-XX)
1 Topological groups, Lie groups (22-XX)
1 Ordinary differential equations (34-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

Citations by Year

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