{"paper":{"title":"Metrical results on the distribution of fractional parts of powers of real numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.NT","authors_text":"Lingmin Liao (LAMA), Michal Rams (PAN), Yann Bugeaud (IRMA)","submitted_at":"2017-10-10T13:51:02Z","abstract_excerpt":"Denote by {$\\times$} the fractional part. We establish several new metrical results on the distribution properties of the sequence ({x n }) n$\\ge$1. Many of them are presented in a more general framework, in which the sequence of functions (x $\\rightarrow$ x n) n$\\ge$1 is replaced by a sequence (fn) n$\\ge$1 , under some growth and regularity conditions on the functions fn."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03596","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"}