{"paper":{"title":"Corrigendum for \"The generalized strong recurrence for non-zero rational parameters\" Archiv der Mathematik 95 (2010), 549-555","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"{\\L}ukasz Pa\\'nkowski, Takashi Nakamura","submitted_at":"2012-03-07T07:43:21Z","abstract_excerpt":"In the present paper, we prove that self-approximation of $\\log \\zeta (s)$ with $d=0$ is equivalent to the Riemann Hypothesis. Next, we show self-approximation of $\\log \\zeta (s)$ with respect to all nonzero real numbers $d$. Moreover, we partially filled a gap existing in \"The strong recurrence for non-zero rational parameters\" and prove self-approximation of $\\zeta(s)$ for $0 \\ne d=a/b$ with $|a-b|\\ne 1$ and $\\gcd(a,b)=1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1393","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"}