#davenport constant
topicdavenport constant
3 papers · 1 filter
math.CO2026
The small Davenport constant of the Heisenberg group of order 125
Patrick White
The paper determines that the small Davenport constant of the Heisenberg group of order 125 is 12, using a product‑one criterion that reduces the problem to additive combinatorics…
math.AC2026
Elasticity of Orders from the -relative Davenport Constant: an Arithmetic Application of a Number-Theoretic Investigation
Jared Kettinger, Grant Moles
The paper introduces the S‑relative Davenport constant and uses it to study the factorization elasticity of non‑maximal orders in algebraic number fields, especially those with pri…
math.NT2026
Two local zero-sum problems
Gao Weidong, Jiang Xiao, Mu Yucen
The paper determines the smallest number of integers needed to guarantee a subset whose sum is divisible by n but not by nk (or whose sum has a prescribed gcd with n²), showing thi…