Partitions of nonzero elements of a finite field into pairs

DOI10.1007/s11856-012-0020-5zbMath1287.11015arXiv1005.1177OpenAlexW2964023489MaRDI QIDQ1932655

Roman N. Karasev, Fedor Petrov

Publication date: 21 January 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.1177

Mathematics Subject Classification ID

Extremal set theory (05D05) Other combinatorial number theory (11B75) Finite fields and commutative rings (number-theoretic aspects) (11T99) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (19)

Polynomials over structured grids ⋮ Polynomial approach to explicit formulae for generalized binomial coefficients ⋮ A simple proof of the Zeilberger–Bressoud 𝑞-Dyson theorem ⋮ Coloring linear hypergraphs: the Erdős-Faber-Lovász conjecture and the combinatorial nullstellensatz ⋮ Constant term identities and Poincaré polynomials ⋮ Zero-sum subsets in vector spaces over finite fields ⋮ Schubert calculus and singularity theory ⋮ The Alon-Tarsi number of a toroidal grid ⋮ Warning's second theorem with restricted variables ⋮ The Combinatorial Nullstellensätze revisited ⋮ Constant terms of near-Dyson polynomials ⋮ Approximate results for rainbow labelings ⋮ New methods to attack the Buratti-Horak-Rosa conjecture ⋮ On a generalization of the seating couples problem ⋮ Novák's conjecture on cyclic Steiner triple systems and its generalization ⋮ Asymptotics of traces of paths in the Young and Schur graphs ⋮ General Parity Result and Cycle‐Plus‐Triangles Graphs ⋮ Spectral aspects of symmetric matrix signings ⋮ A new approach to constant term identities and Selberg-type integrals

Cites Work

• On a generalization of the seating couples problem
• Kneser's conjecture, chromatic number, and homotopy
• On the number of Tverberg partitions in the prime power case
• Intersection theorems with geometric consequences
• Sumsets in vector spaces over finite fields
• Sums in the grid
• Optimally small sumsets in finite abelian groups.
• Additive Latin transversals.
• Note on a conjecture of Sierksma
• The Erdős-Heilbronn problem in Abelian groups.
• Seating Couples Around the King's Table and a New Characterization of Prime Numbers
• A counterexample to Borsuk’s conjecture
• Statistical Theory of the Energy Levels of Complex Systems. I
• Proof of a Conjecture by Dyson in the Statistical Theory of Energy Levels
• Combinatorial Nullstellensatz
• On the Addition of Residue Classes
• Proof of a Conjecture by Dyson
• Transversals of additive Latin squares

This page was built for publication: Partitions of nonzero elements of a finite field into pairs