×

zbMATH — the first resource for mathematics

Plagne, Alain

Compute Distance To:
Author ID: plagne.alain Recent zbMATH articles by "Plagne, Alain"
Published as: Plagne, A.; Plagne, Alain
External Links: MGP · Wikidata
Documents Indexed: 69 Publications since 1999, including 14 Books
Reviewing Activity: 13 Reviews

Publications by Year

Citations contained in zbMATH

45 Publications have been cited 193 times in 135 Documents Cited by Year
Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain
20
2003
A generalization of Freiman’s \(3k-3\) theorem. Zbl 1007.11011
Hamidoune, Yahya Ould; Plagne, Alain
16
2002
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A.
13
2005
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A.
13
2004
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain
10
2004
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.
8
2005
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain
8
2003
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
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A.
7
2011
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
On Erdős and Graham’s \(X\) function. Zbl 1074.11009
Plagne, Alain
5
2004
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore
4
2015
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain
4
2011
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A.
4
2009
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
4
2006
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain
4
2005
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain
4
2004
Non derivation of the quantum Boltzmann equation from the periodic von Neumann equation. Zbl 1080.82014
Castella, F.; Plagne, A.
4
2002
Removing one element from an exact additive basis. Zbl 1067.11005
Plagne, Alain
4
2001
\(B_2[2]\): The vise tightens. Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain
3
2002
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain
3
1999
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain
2
2015
Yahya Ould Hamidoune’s mathematical journey: a critical review of his work. Zbl 1292.05002
Plagne, Alain; Serra, Oriol; Zémor, Gilles
2
2013
Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011. Zbl 1227.01038
Plagne, Alain
2
2011
On the number of exceptional elements of an additive basis. Zbl 1221.11201
Plagne, Alain
2
2008
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain
2
2006
On the subgroup generated by a small doubling binary set. Zbl 1018.11050
Hennecart, François; Plagne, Alain
2
2003
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain
2
2002
Recent progress on finite \(B_h[g]\) sets. Zbl 0995.11014
Plagne, Alain
2
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.
2
2000
On congruence half-factorial Krull monoids with cyclic class group. Zbl 07167802
Plagne, Alain; Schmid, Wolfgang A.
1
2019
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain
1
2016
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore
1
2016
Large restricted sumsets in general abelian groups. Zbl 1371.11025
Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain
1
2013
Yahya ould Hamidoune, great Mauritanian, singular man, exceptional mathematician. Zbl 1243.01018
Plagne, Alain
1
2011
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain
1
2009
Tropical geometry. Zbl 1151.14001
Harinck, Pascale (ed.); Plagne, Alain (ed.); Sabbah, Claude (ed.)
1
2008
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
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
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. Zbl 1132.11002
Berline, Nicole (ed.); Plagne, Alain (ed.); Sabbah, Claude (ed.)
1
2007
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte
1
2006
A proof of two Erdős’ conjectures on restricted addition and further results. Zbl 1040.11005
Hegyvári, N.; Hennecart, F.; Plagne, A.
1
2003
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain
1
1999
On congruence half-factorial Krull monoids with cyclic class group. Zbl 07167802
Plagne, Alain; Schmid, Wolfgang A.
1
2019
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
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
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain
1
2016
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore
1
2016
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore
4
2015
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain
2
2015
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
1
2013
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A.
7
2011
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain
4
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. Zbl 1243.01018
Plagne, Alain
1
2011
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A.
4
2009
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain
1
2009
On the number of exceptional elements of an additive basis. Zbl 1221.11201
Plagne, Alain
2
2008
Tropical geometry. Zbl 1151.14001
Harinck, Pascale (ed.); Plagne, Alain (ed.); Sabbah, Claude (ed.)
1
2008
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
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
On the dynamics of matrix groups and arithmetic applications. Papers from the mathematical days X-UPS, Palaiseau, France, May 9–10, 2007. Zbl 1132.11002
Berline, Nicole (ed.); Plagne, Alain (ed.); Sabbah, Claude (ed.)
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
4
2006
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain
2
2006
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte
1
2006
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A.
13
2005
On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural characterization. Zbl 1072.20032
Plagne, Alain; Schmid, Wolfgang A.
8
2005
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain
4
2005
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A.
13
2004
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain
10
2004
On Erdős and Graham’s \(X\) function. Zbl 1074.11009
Plagne, Alain
5
2004
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain
4
2004
Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain
20
2003
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain
8
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.
1
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. Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain
3
2002
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain
2
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
2
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.
2
2000
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain
3
1999
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain
1
1999
all top 5

Cited by 149 Authors

18 Plagne, Alain
9 Eliahou, Shalom
9 Kervaire, Michel A.
7 Gao, Weidong
7 Hamidoune, Yahya Ould
7 Zhong, Qinghai
6 Serra, Oriol
5 Geroldinger, Alfred
5 Schmid, Wolfgang Alexander
4 Bajnok, Béla
4 Longobardi, Patrizia
4 Maj, Mercede
4 Zémor, Gilles
3 Balandraud, Éric
3 Castella, François
3 Freiman, Gregory A.
3 Girard, Benjamin
3 Hegyvári, Norbert
3 Hennecart, François
3 Károlyi, Gyula
3 Kiss, Sándor Z.
3 Ruzsa, Imre Z.
3 Sanders, Tom
3 Tringali, Salvatore
2 Bachoc, Christine
2 Cilleruelo, Javier
2 Deng, Guixin
2 Dumas, Éric
2 Even-Zohar, Chaim
2 Fan, Yushuang
2 Farhi, Bakir
2 Green, Ben Joseph
2 Griffiths, Simon
2 Hegarty, Peter V.
2 Herzog, Marcel
2 Jin, Renling
2 Lev, Vsevolod F.
2 Li, Yuanlin
2 Liu, Chao
2 Marchan, Luz Elimar
2 Matzke, Ryan W.
2 Ordaz, Oscar
2 Östergård, Patric R. J.
2 Petrov, Fedor Vladimirovich
2 Sándor, Csaba
2 Stanchescu, Yonutz V.
2 Tang, Min
2 Zeng, Xiangneng
1 Adams, Ashleigh
1 Al-Hashami, Mahmoud
1 Augspurger, C.
1 Ayadi, Adlene
1 Baginski, Paul
1 Balasubramanian, Ramachandran
1 Benedetto, Dario
1 Berchenko-Kogan, Yakov
1 Bertolo, Riccardo
1 Bhanja, Jagannath
1 Bibak, Khodakhast
1 Bidégaray-Fesquet, Brigitte
1 Brugallé, Erwan
1 Bunde, David P.
1 Button, Jack Oliver
1 Candela, Pablo
1 Cassaigne, Julien
1 Cesaratto, Eda
1 Chang, Gerard Jennhwa
1 Chapman, Scott Thomas
1 Chen, Yonggao
1 Deckelbaum, Alan
1 Deschamps, Bruno
1 Domokos, Mátyás
1 Elekes, György
1 Esposito, Raffaele
1 Fang, Jinhui
1 Freeze, Michael
1 Ghouchan, Mohammad Farrokhi Derakhshandeh
1 Gisclon, Marguerite
1 Golubeva, Elena P.
1 Griffin, Jory
1 Grynkiewicz, David J.
1 Guo, Shuguang
1 Haas, Wolfgang
1 Habsieger, Laurent
1 Hall, Carole
1 Hare, Kathryn E.
1 He, Jimmy
1 Hsu, Hsiang-Chun
1 Iosevich, Alex
1 Jafari, Seid Hadi
1 Karasev, Roman N.
1 Kéri, Gerzson
1 Kohonen, Jukka
1 Koivunen, Visa
1 Konyagin, Sergeĭ Vladimirovich
1 Kravitz, Ross
1 Kurdachenko, Leonid Andreevich
1 Lam, Kee Yuen
1 Lambert, Victor
1 Lê, Thái Hoàng
...and 49 more Authors
all top 5

Cited in 58 Serials

14 Journal of Number Theory
14 European Journal of Combinatorics
10 Combinatorics, Probability and Computing
7 Discrete Mathematics
6 International Journal of Number Theory
4 Bulletin of the Australian Mathematical Society
4 Communications in Algebra
4 Israel Journal of Mathematics
3 Annales de l’Institut Fourier
3 Journal of Algebra
3 Journal of Combinatorial Theory. Series A
3 Proceedings of the American Mathematical Society
3 Combinatorica
3 Integers
2 Acta Arithmetica
2 Advances in Mathematics
2 Journal of Pure and Applied Algebra
2 Journal für die Reine und Angewandte Mathematik
2 Acta Mathematica Hungarica
2 Designs, Codes and Cryptography
2 Expositiones Mathematicae
2 Journal de Théorie des Nombres de Bordeaux
2 International Journal of Group Theory
1 American Mathematical Monthly
1 Journal d’Analyse Mathématique
1 Journal of Statistical Physics
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Canadian Journal of Mathematics
1 Functiones et Approximatio. Commentarii Mathematici
1 Functional Analysis and its Applications
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Proceedings of the London Mathematical Society. Third Series
1 Semigroup Forum
1 Topology and its Applications
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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 Journal of Combinatorial Designs
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Journal of Combinatorial Optimization
1 Journal of Integer Sequences
1 Journal of Algebra and its Applications
1 Journal of Hyperbolic Differential Equations
1 Logic and Analysis
1 Journal of Combinatorial Algebra
1 PUMP Journal of Undergraduate Research
1 Pure and Applied Analysis

Citations by Year

Wikidata Timeline