{"paper":{"title":"A $p$-adically entire function with integral values on ${\\mathbb Q}_p$ and entire liftings of the $p$-divisible group ${\\mathbb Q}_p/{\\mathbb Z}_p$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Baldassarri","submitted_at":"2018-04-13T14:48:16Z","abstract_excerpt":"We give a self-contained proof of the fact that, for any prime number $p$, there exists a power series $$\\Psi= \\Psi_p(T) \\in T + T^2\\Z[[T]] $$ which trivializes the addition law of the formal group of Witt covectors is $p$-adically entire and assumes values in $\\Z_p$ all over $\\Q_p$. We actually generalize, following a suggestion of M. Candilera, the previous facts to any fixed unramified extension $\\Q_q$ of $\\Q_p$ of degree $f$, where $q = p^f$. We show that $\\Psi = \\Psi_q$ provides a quasi-finite covering of the Berkovich affine line $\\A^1_{\\Q_p}$ by itself. We prove in section 3 new strong "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04972","kind":"arxiv","version":5},"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"}