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Author ID: plagne.alain Recent zbMATH articles by "Plagne, Alain"
Published as: Plagne, Alain; Plagne, A.
External Links: MGP · Wikidata · IdRef · theses.fr
Documents Indexed: 54 Publications since 1999
15 Contributions as Editor
Reviewing Activity: 13 Reviews
Co-Authors: 36 Co-Authors with 49 Joint Publications
820 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

54 Publications have been cited 276 times in 202 Documents Cited by Year
Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain
26
2003
A generalization of Freiman’s \(3k-3\) theorem. Zbl 1007.11011
Hamidoune, Yahya Ould; Plagne, Alain
16
2002
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A.
15
2011
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A.
15
2005
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain
14
2004
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A.
13
2004
On congruence half-factorial Krull monoids with cyclic class group. Zbl 1456.20015
Plagne, Alain; Schmid, Wolfgang A.
11
2019
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain
11
2003
Restricted addition in \(\mathbb Z/n\mathbb Z\) and an application to the Erdős-Ginzburg-Ziv problem. Zbl 1014.05065
Gallardo, Luis; Grekos, Georges; Habsieger, L.; Hennecart, F.; Landreau, B.; Plagne, A.
10
2002
On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural characterization. Zbl 1072.20032
Plagne, Alain; Schmid, Wolfgang A.
9
2005
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A.
9
2009
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain
8
2011
On the structure of subsets of an orderable group with some small doubling properties. Zbl 1359.11082
Freiman, G. A.; Herzog, M.; Longobardi, P.; Maj, M.; Plagne, A.; Robinson, D. J. S.; Stanchescu, Y. V.
7
2016
Optimally small sumsets in groups. I: The supersmall sumsets property, the \(\mu_G^{(k)}\) and the \(\nu_G^{(k)}\) functions. Zbl 1131.11014
Plagne, Alain
7
2006
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore
6
2015
On Erdős and Graham’s \(X\) function. (A propos de la fonction \(X\) d’Erdős et Graham.) Zbl 1074.11009
Plagne, Alain
6
2004
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain
5
2015
Small doubling in ordered groups: generators and structure. Zbl 1427.11102
Freiman, Gregory A.; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede; Plagne, Alain; Stanchescu, Yonutz V.
5
2017
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain
5
1999
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain
5
2004
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain
4
2005
Removing one element from an exact additive basis. Zbl 1067.11005
Plagne, Alain
4
2001
Non derivation of the quantum Boltzmann equation from the periodic von Neumann equation. Zbl 1080.82014
Castella, F.; Plagne, A.
4
2002
Recent progress on finite \(B_h[g]\) sets. Zbl 0995.11014
Plagne, Alain
4
2001
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002
4
2007
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore
3
2016
New lower bounds for covering codes. Zbl 0987.94047
Habsieger, L.; Plagne, A.
3
2000
On the number of exceptional elements of an additive basis. (Sur le nombre d’éléments exceptionnels d’une base additive.) Zbl 1221.11201
Plagne, Alain
3
2008
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain
3
2006
Maximal sets with no solution to \(x+y=3z\). Zbl 1413.11020
Plagne, Alain; De Roton, Anne
2
2016
Combinatorial problems on additive bases. Zbl 1221.05021
Plagne, Alain
2
2006
Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011. Zbl 1227.01038
Plagne, Alain
2
2011
Chaos in quantum mechanics. Lectures from the mathematical days X-UPS, Palaiseau, France, 2014. (Chaos en mécanique quantique. Journées mathématiques X-UPS 2014.) Zbl 1310.37002
2
2014
Yahya Ould Hamidoune’s mathematical journey: a critical review of his work. Zbl 1292.05002
Plagne, Alain; Serra, Oriol; Zémor, Gilles
2
2013
Large restricted sumsets in general abelian groups. Zbl 1371.11025
Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain
2
2013
Additive bases in groups. Zbl 1430.11015
Lambert, Victor; Lê, Thái Hoàng; Plagne, Alain
2
2017
On the subgroup generated by a small doubling binary set. Zbl 1018.11050
Hennecart, François; Plagne, Alain
2
2003
A proof of two Erdős’ conjectures on restricted addition and further results. Zbl 1040.11005
Hegyvári, N.; Hennecart, F.; Plagne, A.
2
2003
A new upper bound for \(B_2 [2]\) sets. Zbl 1067.11010
Plagne, Alain
2
2001
\(B_2[2]\): The vise tightens. (Ensembles \(B_2[2]\): L’étau se resserre.) Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain
2
2002
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain
2
2002
On threshold properties of \(k\)-SAT: An additive viewpoint. Zbl 1106.68047
Plagne, Alain
2
2006
Tropical geometry. (Géométrie tropicale.) Zbl 1151.14001
2
2008
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte
2
2006
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain
2
2009
A numerical note on upper bounds for \(B_2[g]\) sets. Zbl 1416.11016
Habsieger, Laurent; Plagne, Alain
1
2018
Mathematical facets of fluid mechanics. Papers from the mathematical days X-UPS 2010. (Facettes mathématiques de la mécanique des fluides. Journées mathématiques X-UPS 2010.) Zbl 1210.76002
1
2010
Some remarks on barycentric-sum problems over cyclic groups. Zbl 1364.11032
Ordaz, Oscar; Plagne, Alain; Schmid, Wolfgang A.
1
2013
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain
1
1999
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain
1
2016
Yahya ould Hamidoune, great Mauritanian, singular man, exceptional mathematician. (Yahya ould Hamidoune, grand Mauritanien, homme singulier mathématicien d’exception.) Zbl 1243.01018
Plagne, Alain
1
2011
A distribution result for slices of sums of squares. Zbl 1019.11025
Castella, François; Plagne, Alain
1
2002
Answer to a question by Burr and Erdős on restricted addition, and related results. Zbl 1136.11007
Hegyvári, Norbert; Hennecart, François; Plagne, Alain
1
2007
Optimally small sumsets in groups. III: The generalized increasingly small sumsets property and the \(v^{(k)}_G\) functions. Zbl 1145.11023
Plagne, Alain
1
2007
On congruence half-factorial Krull monoids with cyclic class group. Zbl 1456.20015
Plagne, Alain; Schmid, Wolfgang A.
11
2019
A numerical note on upper bounds for \(B_2[g]\) sets. Zbl 1416.11016
Habsieger, Laurent; Plagne, Alain
1
2018
Small doubling in ordered groups: generators and structure. Zbl 1427.11102
Freiman, Gregory A.; Herzog, Marcel; Longobardi, Patrizia; Maj, Mercede; Plagne, Alain; Stanchescu, Yonutz V.
5
2017
Additive bases in groups. Zbl 1430.11015
Lambert, Victor; Lê, Thái Hoàng; Plagne, Alain
2
2017
On the structure of subsets of an orderable group with some small doubling properties. Zbl 1359.11082
Freiman, G. A.; Herzog, M.; Longobardi, P.; Maj, M.; Plagne, A.; Robinson, D. J. S.; Stanchescu, Y. V.
7
2016
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore
3
2016
Maximal sets with no solution to \(x+y=3z\). Zbl 1413.11020
Plagne, Alain; De Roton, Anne
2
2016
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain
1
2016
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore
6
2015
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain
5
2015
Chaos in quantum mechanics. Lectures from the mathematical days X-UPS, Palaiseau, France, 2014. (Chaos en mécanique quantique. Journées mathématiques X-UPS 2014.) Zbl 1310.37002
2
2014
Yahya Ould Hamidoune’s mathematical journey: a critical review of his work. Zbl 1292.05002
Plagne, Alain; Serra, Oriol; Zémor, Gilles
2
2013
Large restricted sumsets in general abelian groups. Zbl 1371.11025
Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain
2
2013
Some remarks on barycentric-sum problems over cyclic groups. Zbl 1364.11032
Ordaz, Oscar; Plagne, Alain; Schmid, Wolfgang A.
1
2013
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A.
15
2011
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain
8
2011
Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011. Zbl 1227.01038
Plagne, Alain
2
2011
Yahya ould Hamidoune, great Mauritanian, singular man, exceptional mathematician. (Yahya ould Hamidoune, grand Mauritanien, homme singulier mathématicien d’exception.) Zbl 1243.01018
Plagne, Alain
1
2011
Mathematical facets of fluid mechanics. Papers from the mathematical days X-UPS 2010. (Facettes mathématiques de la mécanique des fluides. Journées mathématiques X-UPS 2010.) Zbl 1210.76002
1
2010
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A.
9
2009
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain
2
2009
On the number of exceptional elements of an additive basis. (Sur le nombre d’éléments exceptionnels d’une base additive.) Zbl 1221.11201
Plagne, Alain
3
2008
Tropical geometry. (Géométrie tropicale.) Zbl 1151.14001
2
2008
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. (Sur la dynamique des groupes de matrices et applications arithmétiques.) Zbl 1132.11002
4
2007
Answer to a question by Burr and Erdős on restricted addition, and related results. Zbl 1136.11007
Hegyvári, Norbert; Hennecart, François; Plagne, Alain
1
2007
Optimally small sumsets in groups. III: The generalized increasingly small sumsets property and the \(v^{(k)}_G\) functions. Zbl 1145.11023
Plagne, Alain
1
2007
Optimally small sumsets in groups. I: The supersmall sumsets property, the \(\mu_G^{(k)}\) and the \(\nu_G^{(k)}\) functions. Zbl 1131.11014
Plagne, Alain
7
2006
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain
3
2006
Combinatorial problems on additive bases. Zbl 1221.05021
Plagne, Alain
2
2006
On threshold properties of \(k\)-SAT: An additive viewpoint. Zbl 1106.68047
Plagne, Alain
2
2006
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte
2
2006
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A.
15
2005
On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural characterization. Zbl 1072.20032
Plagne, Alain; Schmid, Wolfgang A.
9
2005
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain
4
2005
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain
14
2004
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A.
13
2004
On Erdős and Graham’s \(X\) function. (A propos de la fonction \(X\) d’Erdős et Graham.) Zbl 1074.11009
Plagne, Alain
6
2004
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain
5
2004
Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain
26
2003
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain
11
2003
On the subgroup generated by a small doubling binary set. Zbl 1018.11050
Hennecart, François; Plagne, Alain
2
2003
A proof of two Erdős’ conjectures on restricted addition and further results. Zbl 1040.11005
Hegyvári, N.; Hennecart, F.; Plagne, A.
2
2003
A generalization of Freiman’s \(3k-3\) theorem. Zbl 1007.11011
Hamidoune, Yahya Ould; Plagne, Alain
16
2002
Restricted addition in \(\mathbb Z/n\mathbb Z\) and an application to the Erdős-Ginzburg-Ziv problem. Zbl 1014.05065
Gallardo, Luis; Grekos, Georges; Habsieger, L.; Hennecart, F.; Landreau, B.; Plagne, A.
10
2002
Non derivation of the quantum Boltzmann equation from the periodic von Neumann equation. Zbl 1080.82014
Castella, F.; Plagne, A.
4
2002
\(B_2[2]\): The vise tightens. (Ensembles \(B_2[2]\): L’étau se resserre.) Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain
2
2002
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain
2
2002
A distribution result for slices of sums of squares. Zbl 1019.11025
Castella, François; Plagne, Alain
1
2002
Removing one element from an exact additive basis. Zbl 1067.11005
Plagne, Alain
4
2001
Recent progress on finite \(B_h[g]\) sets. Zbl 0995.11014
Plagne, Alain
4
2001
A new upper bound for \(B_2 [2]\) sets. Zbl 1067.11010
Plagne, Alain
2
2001
New lower bounds for covering codes. Zbl 0987.94047
Habsieger, L.; Plagne, A.
3
2000
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain
5
1999
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain
1
1999
all top 5

Cited by 223 Authors

18 Plagne, Alain
13 Zhong, Qinghai
12 Geroldinger, Alfred
9 Eliahou, Shalom
9 Gao, Weidong
9 Kervaire, Michel A.
7 Bajnok, Béla
7 Hamidoune, Yahya Ould
6 Schmid, Wolfgang Alexander
6 Serra, Oriol
5 Kiss, Sándor Z.
4 Deng, Guixin
4 Girard, Benjamin
4 Hegyvári, Norbert
4 Longobardi, Patrizia
4 Maj, Mercede
4 Zémor, Gilles
3 Balandraud, Éric
3 Bhanja, Jagannath
3 Candela, Pablo
3 Castella, François
3 Chapman, Scott Thomas
3 Freiman, Gregory A.
3 Hare, Kathryn E.
3 Hennecart, François
3 Károlyi, Gyula
3 Li, Yuanlin
3 Marchan, Luz Elimar
3 Matzke, Ryan W.
3 Ordaz, Oscar
3 Ruzsa, Imre Z.
3 Sanders, Tom
3 Sándor, Csaba
3 Timmons, Craig M.
3 Tringali, Salvatore
3 Wang, Guoqing
3 Zeng, Xiangneng
2 Al-Hashami, Mahmoud
2 Bachoc, Christine
2 Bibak, Khodakhast
2 Chen, Yonggao
2 Cilleruelo, Javier
2 Ciobotaru, Corina
2 Dumas, Éric
2 Even-Zohar, Chaim
2 Fan, Yushuang
2 Fang, Jinhui
2 Farhi, Bakir
2 Fermanian-Kammerer, Clotilde
2 González-Sánchez, Diego
2 Gotti, Felix
2 Green, Ben Joseph
2 Griffin, Jory
2 Griffiths, Simon
2 Grynkiewicz, David J.
2 Grynkiewicz, David Joseph
2 Gupta, Sanjiv Kumar
2 Hegarty, Peter V.
2 Herzog, Marcel
2 Hui, Wanzhen
2 Jin, Renling
2 Kaur, Ramandeep
2 Lê, Thái Hoàng
2 Leitner, Arielle
2 Lev, Vsevolod F.
2 Li, Xue
2 Liu, Chao
2 Marklof, Jens
2 Östergård, Patric R. J.
2 Pandey, Ram Krishna
2 Petrov, Fedor Vladimirovich
2 Qu, Yongke
2 Smith, William W.
2 Stanchescu, Yonutz V.
2 Zhao, Pingping
1 Adams, Ashleigh
1 Anchouche, Boudjemaa
1 Augspurger, C.
1 Axenides, Minos
1 Axenovich, Maria A.
1 Ayadi, Adlene
1 Baginski, Paul
1 Bakos, Bence
1 Balasubramanian, Ramachandran
1 Bauer, Martin
1 Benedetto, Dario
1 Berchenko-Kogan, Yakov
1 Berson, Connor
1 Bertolo, Riccardo
1 Bidégaray-Fesquet, Brigitte
1 Bienvenu, Pierre-Yves
1 Bourquin, Antoine
1 Brochero Martínez, Fabio Enrique
1 Brugallé, Erwan
1 Bruveris, Martins
1 Bunde, David P.
1 Button, Jack Oliver
1 Cao, Huiqin
1 Caro, Yair
1 Cassaigne, Julien
...and 123 more Authors
all top 5

Cited in 84 Serials

17 European Journal of Combinatorics
15 Journal of Number Theory
11 Discrete Mathematics
10 Combinatorics, Probability and Computing
6 Communications in Algebra
6 Integers
6 International Journal of Number Theory
5 Bulletin of the Australian Mathematical Society
5 Israel Journal of Mathematics
5 Acta Arithmetica
5 Journal of Algebra
4 Journal of Pure and Applied Algebra
4 The Electronic Journal of Combinatorics
3 Advances in Mathematics
3 Annales de l’Institut Fourier
3 Journal of Combinatorial Theory. Series A
3 Proceedings of the American Mathematical Society
3 Combinatorica
3 Expositiones Mathematicae
2 Journal of Statistical Physics
2 Periodica Mathematica Hungarica
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Semigroup Forum
2 Acta Mathematica Hungarica
2 Revista Matemática Iberoamericana
2 SIAM Journal on Discrete Mathematics
2 Designs, Codes and Cryptography
2 Journal de Théorie des Nombres de Bordeaux
2 Journal of Lie Theory
2 The Ramanujan Journal
2 Journal of Algebra and its Applications
2 Involve
2 International Journal of Group Theory
2 Journal of Combinatorial Algebra
2 AIMS Mathematics
1 American Mathematical Monthly
1 Journal d’Analyse Mathématique
1 Journal of Computational Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Rocky Mountain Journal of Mathematics
1 Bulletin de la Société Mathématique de France
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Journal of Differential Equations
1 Mathematische Annalen
1 Proceedings of the London Mathematical Society. Third Series
1 Topology and its Applications
1 Forum Mathematicum
1 Acta Mathematica Universitatis Comenianae. New Series
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 The Australasian Journal of Combinatorics
1 New Zealand Journal of Mathematics
1 Experimental Mathematics
1 Journal of Algebraic Geometry
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 The New York Journal of Mathematics
1 Journal of Combinatorial Designs
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Journal of Combinatorial Optimization
1 Journal of Integer Sequences
1 The Quarterly Journal of Mathematics
1 Revista de Matemática: Teoría y Aplicaciones
1 Journal of the Australian Mathematical Society
1 Journal of Hyperbolic Differential Equations
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Contributions to Discrete Mathematics
1 Logic and Analysis
1 Journal of Spectral Theory
1 Moscow Journal of Combinatorics and Number Theory
1 Discrete Analysis
1 Bollettino dell’Unione Matematica Italiana
1 PUMP Journal of Undergraduate Research
1 Pure and Applied Analysis

Citations by Year

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