{"paper":{"title":"Modified Erd\\\"os--Ginzburg--Ziv Constants for $\\mathbb Z/n\\mathbb Z$ and $(\\mathbb Z/n\\mathbb Z)^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Aaron Berger, Danielle Wang","submitted_at":"2018-08-26T00:21:58Z","abstract_excerpt":"For an abelian group $G$ and an integer $t > 0$, the \\emph{modified Erd\\\"os--Ginzburg--Ziv constant} $s_t'(G)$ is the smallest integer $\\ell$ such that any zero-sum sequence of length at least $\\ell$ with elements in $G$ contains a zero-sum subsequence (not necessarily consecutive) of length $t$. We compute $s_t'(G)$ for $G = \\mathbb Z/n\\mathbb Z$ and for $t = n$, $G = (\\mathbb Z/n\\mathbb Z)^2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08486","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}