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- Kemnitz's_conjecture abstract "In additive number theory, Kemnitz's conjecture states that every set of lattice points in the plane has a large subset whose centroid is also a lattice point. It was proved independently in the autumn of 2003 by Christian Reiher and Carlos di Fiore.The exact formulation of this conjecture is as follows:Let be a natural number and a set of 4n − 3 lattice points in plane. Then there exists a subset with points such that the centroid of all points from is also a lattice point.Kemnitz's conjecture was formulated in 1983 by Arnfried Kemnitz as a generalization of the Erdős–Ginzburg–Ziv theorem, an analogous one-dimensional result stating that every 2n − 1 integers have a subset of size n whose average is an integer. In 2000, Lajos Rónyai proved a weakened form of Kemnitz's conjecture for sets with 4n − 2 lattice points. Then, in 2003, Christian Reiher proved the full conjecture using the Chevalley–Warning theorem.".
- Kemnitz's_conjecture wikiPageID "22407758".
- Kemnitz's_conjecture wikiPageRevisionID "545624565".
- Kemnitz's_conjecture hasPhotoCollection Kemnitz's_conjecture.
- Kemnitz's_conjecture subject Category:Combinatorics.
- Kemnitz's_conjecture subject Category:Lattice_points.
- Kemnitz's_conjecture subject Category:Theorems_in_discrete_mathematics.
- Kemnitz's_conjecture type Abstraction100002137.
- Kemnitz's_conjecture type Communication100033020.
- Kemnitz's_conjecture type Message106598915.
- Kemnitz's_conjecture type Proposition106750804.
- Kemnitz's_conjecture type Statement106722453.
- Kemnitz's_conjecture type Theorem106752293.
- Kemnitz's_conjecture type TheoremsInDiscreteMathematics.
- Kemnitz's_conjecture comment "In additive number theory, Kemnitz's conjecture states that every set of lattice points in the plane has a large subset whose centroid is also a lattice point. It was proved independently in the autumn of 2003 by Christian Reiher and Carlos di Fiore.The exact formulation of this conjecture is as follows:Let be a natural number and a set of 4n − 3 lattice points in plane.".
- Kemnitz's_conjecture label "Conjecture de Kemnitz".
- Kemnitz's_conjecture label "Kemnitz's conjecture".
- Kemnitz's_conjecture sameAs Conjecture_de_Kemnitz.
- Kemnitz's_conjecture sameAs m.05t08dp.
- Kemnitz's_conjecture sameAs Q2993325.
- Kemnitz's_conjecture sameAs Q2993325.
- Kemnitz's_conjecture sameAs Kemnitz's_conjecture.
- Kemnitz's_conjecture wasDerivedFrom Kemnitz's_conjecture?oldid=545624565.
- Kemnitz's_conjecture isPrimaryTopicOf Kemnitz's_conjecture.