{"paper":{"title":"Davenport's constant for groups with large exponent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Gautami Bhowmik, Jan-Christoph Schlage-Puchta","submitted_at":"2017-02-11T09:52:20Z","abstract_excerpt":"Let $G$ be a finite abelian group. We show that its Davenport constant $D(G)$ satisfies $D(G)\\leq \\exp(G)+\\frac{|G|}{\\exp(G)}-1$, provided that $\\exp(G)\\geq\\sqrt{|G|}$, and $D(G)\\leq 2\\sqrt{|G|}-1$, if $\\exp(G)<\\sqrt{|G|}$. This proves a conjecture by Balasubramanian and the first named author."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03403","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"}