{"paper":{"title":"On the Littlewood conjecture in fields of power series","license":"","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Boris Adamczewski (ICJ), Yann Bugeaud (IRMA)","submitted_at":"2005-11-28T13:30:20Z","abstract_excerpt":"Let $\\k$ be an arbitrary field. For any fixed badly approximable power series $\\Theta$ in $\\k((X^{-1}))$, we give an explicit construction of continuum many badly approximable power series $\\Phi$ for which the pair $(\\Theta, \\Phi)$ satisfies the Littlewood conjecture. We further discuss the Littlewood conjecture for pairs of algebraic power series."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511680","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"}