{"paper":{"title":"Distribution properties of compressing sequences derived from primitive sequences modulo odd prime powers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Dongdai Lin, Yupeng Jiang","submitted_at":"2014-01-23T05:12:19Z","abstract_excerpt":"Let $\\underline{a}$ and $\\underline{b}$ be primitive sequences over $\\mathbb{Z}/(p^e)$ with odd prime $p$ and $e\\ge 2$. For certain compressing maps, we consider the distribution properties of compressing sequences of $\\underline{a}$ and $\\underline{b}$, and prove that $\\underline{a}=\\underline{b}$ if the compressing sequences are equal at the times $t$ such that $\\alpha(t)=k$, where $\\underline{\\alpha}$ is a sequence related to $\\underline{a}$. We also discuss the $s$-uniform distribution property of compressing sequences. For some compressing maps, we have that there exist different primitiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5874","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"}