{"paper":{"title":"Certain CM class fields with smaller generators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"\\\"Omer K\\\"u\\c{c}\\\"uksakall{\\i}, Osmanbey Uzunkol","submitted_at":"2013-07-24T00:21:24Z","abstract_excerpt":"We introduce an algorithm that computes explicit class fields of an imaginary quadratic field $K$ for a given modulus $\\mathfrak{f}\\subset\\mathcal{O}_K$ more efficiently than the use of their classical counterparts. Therein, we prove the fact that certain values of a simple quotient of Siegel $\\phi$-function are elements in the ray class field $K_{\\mathfrak{f}}$ of $K$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6273","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"}