Higher Degree Davenport Constants over Finite Commutative Rings

zbMath1496.11015arXiv2102.06050MaRDI QIDQ3390101

Benjamin Girard, John R. Schmitt, Yair Caro

Publication date: 24 March 2022

Full work available at URL: https://arxiv.org/abs/2102.06050

zbMATH Keywords

binomial coefficientDavenport constant

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other combinatorial number theory (11B75) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic combinatorics; higher degree uniformity (11B30)

Related Items (2)

Bounds on the higher degree Erdős-Ginzburg-Ziv constants over \({\mathbb{F}}_q^n\) ⋮ Unnamed Item

Cites Work

• Zero-sum problems in finite Abelian groups: a survey
• Diophantine problems in variables restricted to the values 0 and 1
• Addendum. Diophantine problems in variables restricted to the values 0 and 1
• Cubic symmetric polynomials yielding variations of the Erdős-Ginzburg-Ziv theorem
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• An Analogue of the Erdős–Ginzburg–Ziv Theorem for Quadratic Symmetric Polynomials
• An asymptotically tight bound for the Davenport constant
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