{"paper":{"title":"A generalization of Watson transformation and representations of ternary quadratic forms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Byeong-Kweon Oh, Inhwan Lee, Jangwon Ju","submitted_at":"2016-01-07T08:02:44Z","abstract_excerpt":"Let $L$ be a positive definite (non-classic) ternary $\\z$-lattice and let $p$ be a prime such that a $\\frac 12\\z_p$-modular component of $L_p$ is nonzero isotropic and $4\\cdot dL$ is not divisible by $p$. For a nonnegative integer $m$, let $\\mathcal G_{L,p}(m)$ be the genus with discriminant $p^m\\cdot dL$ on the quadratic space $L^{p^m}\\otimes \\q$ such that for each lattice $T \\in \\mathcal G_{L,p}(m)$, a $\\frac 12\\z_p$-modular component of $T_p$ is nonzero isotropic, and $T_q$ is isometric to $(L^{p^m})_q$ for any prime $q$ different from $p$. Let $r(n,M)$ be the number of representations of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.01433","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"}