{"paper":{"title":"On parametric Thue-Morse Sequences and Lacunary Trigonometric Products","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.NT","authors_text":"Christoph Aistleitner, Gerhard Larcher, Roswitha Hofer","submitted_at":"2015-02-24T10:00:51Z","abstract_excerpt":"One of the fundamental theorems of uniform distribution theory states that the fractional parts of the sequence $(n \\alpha)_{n \\geq 1}$ are uniformly distributed modulo one (u.d. mod 1) for every irrational number $\\alpha$. Another important result of Weyl states that for every sequence $(n_k)_{k \\geq 1}$ of distinct positive integers the sequence of fractional parts of $(n_k \\alpha)_{k \\geq 1}$ is u.d. mod 1 for almost all $\\alpha$. However, in this general case it is usually extremely difficult to classify those $\\alpha$ for which uniform distribution occurs, and to measure the speed of conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06738","kind":"arxiv","version":2},"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"}