A compactness argument in the additive theory and the polynomial method.

DOI10.1016/j.disc.2004.07.030zbMath1090.20027OpenAlexW2055137616MaRDI QIDQ2575791

Gyula Károlyi

Publication date: 6 December 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.07.030

zbMATH Keywords

polynomial methodcombinatorial Nullstellensatzaddition theoremsset addition in Abelian groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Density, gaps, topology (11B05) Abelian groups (20K99)

Related Items (9)

An inverse theorem for the restricted set addition in Abelian groups. ⋮ Combinatorial Nullstellensatz over division rings ⋮ Punctured combinatorial Nullstellensätze ⋮ Restricted sumsets and a conjecture of Lev ⋮ Existence of partial transversals ⋮ On the exterior algebra method applied to restricted set addition ⋮ Finite element approximation analysis for a steady state two-phase transport model of proton exchange membrane fuel cell ⋮ Restricted set addition: the exceptional case of the Erdős-Heilbronn conjecture ⋮ A two-grid combined finite element-upwind finite volume method for a nonlinear convection-dominated diffusion reaction equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On small sumsets in an abelian group
• Orthogonal pairings of Euclidean spaces
• Colorings and orientations of graphs
• Sumsets in vector spaces over finite fields
• A problem on zero subsums in abelian groups
• Rectification principles in additive number theory
• Model theory
• Optimally small sumsets in finite abelian groups.
• On Snevily's conjecture and restricted sumsets.
• Additive Latin transversals.
• The Erdős-Heilbronn problem in Abelian groups.
• The polynomial method and restricted sums of congruence classes
• Restricted set addition in groups. II: A generalization of the Erdős-Heilbronn conjecture
• An inverse theorem for the restricted set addition in Abelian groups.
• Abschätzung der asymptotischen Dichte von Summenmengen
• On Restricted Sums
• The Critical Pairs of Subsets of a Group of Prime Order
• A Generalisation of the Theorem of Cauchy and Davenport
• Combinatorial Nullstellensatz
• Cyclic Spaces for Grassmann Derivatives and Additive Theory
• An inverse theorem mod p
• Restricted Set Addition in Groups I: The Classical Setting
• On the Addition of Residue Classes
• Adding Distinct Congruence Classes Modulo a Prime
• Additive Number Theory and the Ring of Quantum Integers
• Restricted sums of cardinality \(1+p\) in a vector space over \(\mathbb{F}_p\)
• Transversals of additive Latin squares

This page was built for publication: A compactness argument in the additive theory and the polynomial method.