Chevalley's theorem with restricted variables

DOI10.1007/s00493-011-2504-zzbMath1249.11057OpenAlexW2077872828MaRDI QIDQ653989

David Brink

Publication date: 20 December 2011

Published in: Combinatorica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00493-011-2504-z

zbMATH Keywords

polynomial equationszero-sum sequencespolynomial congruencesAlon's Nullstellensatzfinite abelian \(p\)-groups

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite abelian groups (20K01) Congruences in many variables (11D79)

Related Items (14)

Warning's second theorem with relaxed outputs ⋮ Covering almost all the layers of the hypercube with multiplicities ⋮ An improvement to Chevalley's theorem with restricted variables ⋮ Divisibility on point counting over finite Witt rings ⋮ Zero testing and equation solving for sparse polynomials on rectangular domains ⋮ Warning's second theorem with restricted variables ⋮ Chevalley-Warning type results on abelian groups ⋮ The Combinatorial Nullstellensätze revisited ⋮ Combinatorial nullstellensatz modulo prime powers and the parity argument ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a theorem of Morlaye and Joly and its generalization ⋮ Evaluation of polynomials over finite rings via additive combinatorics

Cites Work

• An extension of Chevalley's theorem to congruences modulo prime powers
• A combinatorial problem on finite Abelian groups. I
• Combinatorial Nullstellensatz

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