×
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
Documents Indexed: 63 Publications since 1994, including 5 Books and 13 Additional arXiv Preprints
Reviewing Activity: 2 Reviews
Co-Authors: 53 Co-Authors with 57 Joint Publications
1,697 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

36 Publications have been cited 642 times in 576 Documents Cited by Year
Computing the continuous discretely. Integer-point enumeration in polyhedra. Zbl 1114.52013
Beck, Matthias; Robins, Sinai
265
2007
Computing the continuous discretely. Integer-point enumeration in polyhedra. With illustrations by David Austin. 2nd edition. Zbl 1339.52002
Beck, Matthias; Robins, Sinai
113
2015
The Ehrhart polynomial of a lattice polytope. Zbl 0874.52009
Diaz, Ricardo; Robins, Sinai
28
1997
Generalized Dedekind \(\eta\)-products. Zbl 0808.11031
Robins, Sinai
26
1994
The Frobenius problem, rational polytopes, and Fourier-Dedekind sums. Zbl 1038.11026
Beck, Matthias; Diaz, Ricardo; Robins, Sinai
23
2002
On the representation of integers as sums of triangular numbers. Zbl 0828.11057
Ono, Ken; Robins, Sinai; Wahl, Patrick T.
20
1995
Frobenius problem and the covering radius of a lattice. Zbl 1136.11307
Fukshansky, Lenny; Robins, Sinai
17
2007
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
17
2012
Translational tilings by a polytope, with multiplicity. Zbl 1299.52019
Gravin, Nick; Robins, Sinai; Shiryaev, Dmitry
17
2012
Easy proofs of Riemann’s functional equation for \(\zeta(s)\) and of Lipschitz summation. Zbl 0972.11083
Knopp, Marvin; Robins, Sinai
14
2001
Lacunarity of Dedekind \(\eta\)-products. Zbl 0817.11027
Gordon, Basil; Robins, Sinai
11
1995
Pick’s formula via the Weierstrass \(\wp\)-function. Zbl 0834.52008
Diaz, Ricardo; Robins, Sinai
9
1995
Structure results for multiple tilings in 3D. Zbl 1283.52026
Gravin, Nick; Kolountzakis, Mihail N.; Robins, Sinai; Shiryaev, Dmitry
9
2013
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
8
1995
When are two Dedekind sums equal? Zbl 1241.11052
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
8
2011
The Ehrhart polynomial of a lattice \(n\)-simplex. Zbl 0871.52008
Diaz, Ricardo; Robins, Sinai
7
1996
A formula related to the Frobenius problem in two dimensions. Zbl 1053.11023
Beck, Matthias; Robins, Sinai
6
2004
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
Positivity theorems for solid-angle polynomials. Zbl 1257.52007
Beck, Matthias; Robins, Sinai; Sam, Steven V.
5
2010
Heegaard Floer correction terms and Dedekind-Rademacher sums. Zbl 1271.57039
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
5
2013
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 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
3
2017
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
Hecke operators on rational functions. I. Zbl 1136.11302
Gil, Juan B.; Robins, Sinai
2
2005
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
Generalized solid-angle theory for real polytopes. Zbl 1236.52012
Desario, David; Robins, Sinai
1
2011
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
Zeros and irreducibility of polynomials with gcd powers as coefficients. Zbl 1308.12001
Dilcher, Karl; Robins, Sinai
1
2015
Tiling the integer lattice with translated sublattices. Zbl 1373.52019
Borodzik, Maciej; Nguyen, Danny; Robins, Sinai
1
2016
An Euler-Maclaurin formula for polygonal sums. Zbl 1486.42007
Brandolini, Luca; Colzani, Leonardo; Robins, Sinai; Travaglini, Giancarlo
1
2022
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
1
2021
The action of Hecke operators on hypergeometric functions. Zbl 1210.11052
Moll, Victor H.; Robins, Sinai; Soodhalter, Kirk
1
2010
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
1
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
3
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
113
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
Zeros and irreducibility of polynomials with gcd powers as coefficients. Zbl 1308.12001
Dilcher, Karl; Robins, Sinai
1
2015
Structure results for multiple tilings in 3D. Zbl 1283.52026
Gravin, Nick; Kolountzakis, Mihail N.; Robins, Sinai; Shiryaev, Dmitry
9
2013
Heegaard Floer correction terms and Dedekind-Rademacher sums. Zbl 1271.57039
Jabuka, Stanislav; Robins, Sinai; Wang, Xinli
5
2013
The inverse moment problem for convex polytopes. Zbl 1285.68198
Gravin, Nick; Lasserre, Jean; Pasechnik, Dmitrii V.; Robins, Sinai
17
2012
Translational tilings by a polytope, with multiplicity. Zbl 1299.52019
Gravin, Nick; Robins, Sinai; Shiryaev, Dmitry
17
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.
5
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
265
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
6
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
14
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.
20
1995
Lacunarity of Dedekind \(\eta\)-products. Zbl 0817.11027
Gordon, Basil; Robins, Sinai
11
1995
Pick’s formula via the Weierstrass \(\wp\)-function. Zbl 0834.52008
Diaz, Ricardo; Robins, Sinai
9
1995
Superlacunary cusp forms. Zbl 0826.11017
Ono, Ken; Robins, Sinai
8
1995
Generalized Dedekind \(\eta\)-products. Zbl 0808.11031
Robins, Sinai
26
1994
all top 5

Cited by 766 Authors

31 Beck, Matthias
17 Robins, Sinai
15 Higashitani, Akihiro
14 Tsuchiya, Akiyoshi
13 Braun, Benjamin
9 Haase, Christian Alexander
9 Henk, Martin
9 Hibi, Takayuki
7 Breuer, Felix
7 Fukshansky, Lenny
7 Jochemko, Katharina Victoria
7 Nill, Benjamin
7 O’Neill, Christopher
7 Stapledon, Alan
7 Yau, Stephen Shing-Toung
6 Heim, Bernhard Ernst
6 Lasserre, Jean-Bernard
6 Liu, Fu
6 Neuhauser, Markus
6 Sanyal, Raman
6 Solus, Liam T.
5 Aliev, Iskander M.
5 De Loera, Jesús A.
5 Ferroni, Luis
5 Mészáros, Karola
5 Santos, Francisco
5 Schürmann, Achill
4 Cristofaro-Gardiner, Daniel
4 Hanusa, Christopher R. H.
4 Köppe, Matthias
4 Mao, Renrong
4 McAllister, Tyrrell B.
4 Michałek, Mateusz
4 Morales, Alejandro Henry
4 Olsen, McCabe
4 Ono, Ken
4 Ramírez Alfonsín, Jorge Luis
4 Sam, Steven V.
4 Savage, Carla Diane
4 Schymura, Matthias
4 Vergne, Michèle
4 Woods, Kevin M.
3 Ardila, Federico
3 Batyrev, Victor V.
3 Bayad, Abdelmejid
3 Brandolini, Luca
3 Bruns, Winfried
3 Choi, Youn-Seo
3 Colzani, Leonardo
3 Davis, Robert Talton
3 Du, Julia Q. D.
3 Engel, Konrad
3 Girstmair, Kurt
3 Gravin, Nick
3 Gubeladze, Joseph
3 Hofscheier, Johannes
3 Juhnke-Kubitzke, Martina
3 Karshon, Yael
3 Kauers, Manuel
3 Kohl, Florian
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 Ohsugi, Hidefumi
3 O’Sullivan, Cormac
3 Paffenholz, Andreas
3 Pak, Igor
3 Pasechnik, Dmitrii V.
3 Shapiro, Boris Zalmanovich
3 Sternberg, Shlomo
3 Tsukerman, Emmanuel
3 Vindas-Meléndez, Andrés R.
3 Weitsman, Jonathan
3 Yang, Qi
3 Yoshida, Koutarou
3 Yoshinaga, Masahiko
3 Zafeirakopoulos, Zafeirakis
3 Zong, Chuanming
3 Zuo, Huaiqing
2 Ashikaga, Tadashi
2 Athanasiadis, Christos A.
2 Averkov, Gennadiy
2 Balletti, Gabriele
2 Berg, Sören Lennart
2 Bianconi, Francesco
2 Bogart, Tristram
2 Böröczky, Karoly jun.
2 Brauner, Sarah
2 Chan, Swee Hong
2 Chapoton, Frédéric
2 Chen, Beifang
2 Chen, Shichao
2 Chen, Tianran
...and 666 more Authors
all top 5

Cited in 181 Serials

34 Discrete & Computational Geometry
23 Advances in Mathematics
20 The Electronic Journal of Combinatorics
19 Journal of Combinatorial Theory. Series A
17 The Ramanujan Journal
16 Advances in Applied Mathematics
14 Journal of Number Theory
14 Proceedings of the American Mathematical Society
14 Transactions of the American Mathematical Society
14 European Journal of Combinatorics
14 Annals of Combinatorics
13 International Journal of Number Theory
11 Discrete Mathematics
11 Journal of Algebraic Combinatorics
8 Mathematische Zeitschrift
8 SIAM Journal on Discrete Mathematics
8 Séminaire Lotharingien de Combinatoire
8 Research in Number Theory
7 Journal of Mathematical Analysis and Applications
7 Mathematika
6 Beiträge zur Algebra und Geometrie
6 Selecta Mathematica. New Series
6 Integers
5 Journal of Mathematical Physics
5 Michigan Mathematical Journal
5 Graphs and Combinatorics
4 American Mathematical Monthly
4 Functiones et Approximatio. Commentarii Mathematici
4 Mathematische Annalen
4 Journal of Symbolic Computation
4 Journal of Integer Sequences
4 Algebraic Combinatorics
4 Combinatorial Theory
3 Bulletin of the Australian Mathematical Society
3 Communications in Algebra
3 Journal d’Analyse Mathématique
3 Rocky Mountain Journal of Mathematics
3 Mathematics of Computation
3 The Mathematical Intelligencer
3 Acta Arithmetica
3 Duke Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Pacific Journal of Mathematics
3 Semigroup Forum
3 Combinatorica
3 Journal of the American Mathematical Society
3 Journal of Mathematical Imaging and Vision
3 Journal of High Energy Physics
3 Research in the Mathematical Sciences
3 SIAM Journal on Applied Algebra and Geometry
2 Communications in Mathematical Physics
2 Discrete Applied 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 Computational and Applied Mathematics
2 Journal of Geometry
2 Journal of the London Mathematical Society. Second Series
2 Manuscripta Mathematica
2 Monatshefte für Mathematik
2 Osaka Journal of Mathematics
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 Mathematical Sciences (New York)
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 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
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 Discrete Analysis
2 PUMP Journal of Undergraduate Research
1 Communications on Pure and Applied Mathematics
1 Inverse Problems
1 Israel Journal of Mathematics
1 Lithuanian Mathematical Journal
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Mathematische Semesterberichte
1 Nuclear Physics. B
1 Periodica Mathematica Hungarica
1 Journal of Geometry and Physics
1 Acta Mathematica Vietnamica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Automatica
1 Bulletin de la Société Mathématique de France
...and 81 more Serials
all top 5

Cited in 51 Fields

282 Convex and discrete geometry (52-XX)
230 Number theory (11-XX)
197 Combinatorics (05-XX)
65 Algebraic geometry (14-XX)
51 Commutative algebra (13-XX)
34 Group theory and generalizations (20-XX)
24 Computer science (68-XX)
21 Operations research, mathematical programming (90-XX)
20 Order, lattices, ordered algebraic structures (06-XX)
17 Manifolds and cell complexes (57-XX)
16 Real functions (26-XX)
16 Special functions (33-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Numerical analysis (65-XX)
14 Nonassociative rings and algebras (17-XX)
14 Integral transforms, operational calculus (44-XX)
14 Geometry (51-XX)
13 Quantum theory (81-XX)
11 Differential geometry (53-XX)
10 Approximations and expansions (41-XX)
10 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
10 Information and communication theory, circuits (94-XX)
8 Associative rings and algebras (16-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Field theory and polynomials (12-XX)
7 Functions of a complex variable (30-XX)
7 Several complex variables and analytic spaces (32-XX)
7 Probability theory and stochastic processes (60-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Dynamical systems and ergodic theory (37-XX)
5 Operator theory (47-XX)
4 Measure and integration (28-XX)
4 Partial differential equations (35-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Abstract harmonic analysis (43-XX)
3 Algebraic topology (55-XX)
3 Statistics (62-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 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)
1 Mechanics of deformable solids (74-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year