Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain |
|
2003
|
A generalization of Freiman’s \(3k-3\) theorem. Zbl 1007.11011
Hamidoune, Yahya Ould; Plagne, Alain |
|
2002
|
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A. |
|
2011
|
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A. |
|
2005
|
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain |
|
2004
|
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A. |
|
2004
|
On congruence half-factorial Krull monoids with cyclic class group. Zbl 1456.20015
Plagne, Alain; Schmid, Wolfgang A. |
|
2019
|
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain |
|
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. |
|
2002
|
On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural characterization. Zbl 1072.20032
Plagne, Alain; Schmid, Wolfgang A. |
|
2005
|
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A. |
|
2009
|
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain |
|
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. |
|
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 |
|
2006
|
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore |
|
2015
|
On Erdős and Graham’s \(X\) function.
(A propos de la fonction \(X\) d’Erdős et Graham.) Zbl 1074.11009
Plagne, Alain |
|
2004
|
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain |
|
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. |
|
2017
|
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain |
|
1999
|
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain |
|
2004
|
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain |
|
2005
|
Removing one element from an exact additive basis. Zbl 1067.11005
Plagne, Alain |
|
2001
|
Non derivation of the quantum Boltzmann equation from the periodic von Neumann equation. Zbl 1080.82014
Castella, F.; Plagne, A. |
|
2002
|
Recent progress on finite \(B_h[g]\) sets. Zbl 0995.11014
Plagne, Alain |
|
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
|
|
2007
|
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore |
|
2016
|
New lower bounds for covering codes. Zbl 0987.94047
Habsieger, L.; Plagne, A. |
|
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 |
|
2008
|
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain |
|
2006
|
Maximal sets with no solution to \(x+y=3z\). Zbl 1413.11020
Plagne, Alain; De Roton, Anne |
|
2016
|
Combinatorial problems on additive bases. Zbl 1221.05021
Plagne, Alain |
|
2006
|
Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011. Zbl 1227.01038
Plagne, Alain |
|
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
|
|
2014
|
Yahya Ould Hamidoune’s mathematical journey: a critical review of his work. Zbl 1292.05002
Plagne, Alain; Serra, Oriol; Zémor, Gilles |
|
2013
|
Large restricted sumsets in general abelian groups. Zbl 1371.11025
Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain |
|
2013
|
Additive bases in groups. Zbl 1430.11015
Lambert, Victor; Lê, Thái Hoàng; Plagne, Alain |
|
2017
|
On the subgroup generated by a small doubling binary set. Zbl 1018.11050
Hennecart, François; Plagne, Alain |
|
2003
|
A proof of two Erdős’ conjectures on restricted addition and further results. Zbl 1040.11005
Hegyvári, N.; Hennecart, F.; Plagne, A. |
|
2003
|
A new upper bound for \(B_2 [2]\) sets. Zbl 1067.11010
Plagne, Alain |
|
2001
|
\(B_2[2]\): The vise tightens.
(Ensembles \(B_2[2]\): L’étau se resserre.) Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain |
|
2002
|
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain |
|
2002
|
On threshold properties of \(k\)-SAT: An additive viewpoint. Zbl 1106.68047
Plagne, Alain |
|
2006
|
Tropical geometry.
(Géométrie tropicale.) Zbl 1151.14001
|
|
2008
|
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte |
|
2006
|
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain |
|
2009
|
A numerical note on upper bounds for \(B_2[g]\) sets. Zbl 1416.11016
Habsieger, Laurent; Plagne, Alain |
|
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
|
|
2010
|
Some remarks on barycentric-sum problems over cyclic groups. Zbl 1364.11032
Ordaz, Oscar; Plagne, Alain; Schmid, Wolfgang A. |
|
2013
|
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain |
|
1999
|
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain |
|
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 |
|
2011
|
A distribution result for slices of sums of squares. Zbl 1019.11025
Castella, François; Plagne, Alain |
|
2002
|
Answer to a question by Burr and Erdős on restricted addition, and related results. Zbl 1136.11007
Hegyvári, Norbert; Hennecart, François; Plagne, Alain |
|
2007
|
Optimally small sumsets in groups. III: The generalized increasingly small sumsets property and the \(v^{(k)}_G\) functions. Zbl 1145.11023
Plagne, Alain |
|
2007
|
On congruence half-factorial Krull monoids with cyclic class group. Zbl 1456.20015
Plagne, Alain; Schmid, Wolfgang A. |
|
2019
|
A numerical note on upper bounds for \(B_2[g]\) sets. Zbl 1416.11016
Habsieger, Laurent; Plagne, Alain |
|
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. |
|
2017
|
Additive bases in groups. Zbl 1430.11015
Lambert, Victor; Lê, Thái Hoàng; Plagne, Alain |
|
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. |
|
2016
|
Sums of dilates in ordered groups. Zbl 1403.11066
Plagne, Alain; Tringali, Salvatore |
|
2016
|
Maximal sets with no solution to \(x+y=3z\). Zbl 1413.11020
Plagne, Alain; De Roton, Anne |
|
2016
|
Additive properties of sequences of pseudo \(s\)-th powers. Zbl 1393.11025
Cilleruelo, Javier; Deshouillers, Jean-Marc; Lambert, Victor; Plagne, Alain |
|
2016
|
The Davenport constant of a box. Zbl 1384.11042
Plagne, Alain; Tringali, Salvatore |
|
2015
|
Orbital measures on \(\mathrm{SU}(2)/\mathrm{SO}(2)\). Zbl 1331.43005
Anchouche, Boudjemâa; Gupta, Sanjiv Kumar; Plagne, Alain |
|
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
|
|
2014
|
Yahya Ould Hamidoune’s mathematical journey: a critical review of his work. Zbl 1292.05002
Plagne, Alain; Serra, Oriol; Zémor, Gilles |
|
2013
|
Large restricted sumsets in general abelian groups. Zbl 1371.11025
Hamidoune, Yahya Ould; López, Susana-Clara; Plagne, Alain |
|
2013
|
Some remarks on barycentric-sum problems over cyclic groups. Zbl 1364.11032
Ordaz, Oscar; Plagne, Alain; Schmid, Wolfgang A. |
|
2013
|
An application of coding theory to estimating Davenport constants. Zbl 1261.11024
Plagne, Alain; Schmid, Wolfgang A. |
|
2011
|
Sums of dilates in groups of prime order. Zbl 1272.11040
Plagne, Alain |
|
2011
|
Yahya Ould Hamidoune the Mauritanian mathematician 1948 - 11 March 2011. Zbl 1227.01038
Plagne, Alain |
|
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 |
|
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
|
|
2010
|
A Sidon basis. Zbl 1200.11008
Deshouillers, J.-M.; Plagne, A. |
|
2009
|
A remark on Haas’ method. Zbl 1169.94018
Plagne, Alain |
|
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 |
|
2008
|
Tropical geometry.
(Géométrie tropicale.) Zbl 1151.14001
|
|
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
|
|
2007
|
Answer to a question by Burr and Erdős on restricted addition, and related results. Zbl 1136.11007
Hegyvári, Norbert; Hennecart, François; Plagne, Alain |
|
2007
|
Optimally small sumsets in groups. III: The generalized increasingly small sumsets property and the \(v^{(k)}_G\) functions. Zbl 1145.11023
Plagne, Alain |
|
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 |
|
2006
|
Optimally small sumsets in groups. II: The hypersmall sumsets property and restricted addition. Zbl 1131.11015
Plagne, Alain |
|
2006
|
Combinatorial problems on additive bases. Zbl 1221.05021
Plagne, Alain |
|
2006
|
On threshold properties of \(k\)-SAT: An additive viewpoint. Zbl 1106.68047
Plagne, Alain |
|
2006
|
On the non randomness of modular arithmetic progressions. Zbl 1196.11024
Cesaratto, Eda; Plagne, Alain; Vallée, Brigitte |
|
2006
|
On the maximal cardinality of half-factorial sets in cyclic groups. Zbl 1093.11067
Plagne, Alain; Schmid, Wolfgang A. |
|
2005
|
On large half-factorial sets in elementary \(p\)-groups: maximal cardinality and structural characterization. Zbl 1072.20032
Plagne, Alain; Schmid, Wolfgang A. |
|
2005
|
A multiple set version of the \(3k-3\) theorem. Zbl 1078.11059
Hamidoune, Yahya Ould; Plagne, Alain |
|
2005
|
A new critical pair theorem applied to sum-free sets in Abelian groups. Zbl 1045.11072
Hamidoune, Yahya Ould; Plagne, Alain |
|
2004
|
On small sumsets in \((\mathbb{Z}/2\mathbb{Z})^n\). Zbl 1049.11108
Deshouillers, J.-M.; Hennecart, F.; Plagne, A. |
|
2004
|
On Erdős and Graham’s \(X\) function.
(A propos de la fonction \(X\) d’Erdős et Graham.) Zbl 1074.11009
Plagne, Alain |
|
2004
|
Grekos’ S function has a linear growth. Zbl 1051.11011
Cassaigne, Julien; Plagne, Alain |
|
2004
|
Optimally small sumsets in finite abelian groups. Zbl 1043.11021
Eliahou, Shalom; Kervaire, Michel; Plagne, Alain |
|
2003
|
Additive number theory sheds extra light on the Hopf-Stiefel \(\circ\) function. Zbl 1040.11023
Plagne, Alain |
|
2003
|
On the subgroup generated by a small doubling binary set. Zbl 1018.11050
Hennecart, François; Plagne, Alain |
|
2003
|
A proof of two Erdős’ conjectures on restricted addition and further results. Zbl 1040.11005
Hegyvári, N.; Hennecart, F.; Plagne, A. |
|
2003
|
A generalization of Freiman’s \(3k-3\) theorem. Zbl 1007.11011
Hamidoune, Yahya Ould; Plagne, Alain |
|
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. |
|
2002
|
Non derivation of the quantum Boltzmann equation from the periodic von Neumann equation. Zbl 1080.82014
Castella, F.; Plagne, A. |
|
2002
|
\(B_2[2]\): The vise tightens.
(Ensembles \(B_2[2]\): L’étau se resserre.) Zbl 1009.11007
Habsieger, Laurent; Plagne, Alain |
|
2002
|
Maximal \((k,l)\)-free sets in \(\mathbb{Z}/p\mathbb{Z}\) are arithmetic progressions. Zbl 1034.11057
Plagne, Alain |
|
2002
|
A distribution result for slices of sums of squares. Zbl 1019.11025
Castella, François; Plagne, Alain |
|
2002
|
Removing one element from an exact additive basis. Zbl 1067.11005
Plagne, Alain |
|
2001
|
Recent progress on finite \(B_h[g]\) sets. Zbl 0995.11014
Plagne, Alain |
|
2001
|
A new upper bound for \(B_2 [2]\) sets. Zbl 1067.11010
Plagne, Alain |
|
2001
|
New lower bounds for covering codes. Zbl 0987.94047
Habsieger, L.; Plagne, A. |
|
2000
|
A uniform version of Jarník’s theorem. Zbl 0924.11084
Plagne, Alain |
|
1999
|
On the two-dimensional subset sum problem. Zbl 0947.11013
Plagne, Alain |
|
1999
|