{"paper":{"title":"On the trace and norm maps from $\\Gamma_0(\\mathfrak{p})$ to $\\operatorname{GL}_2(A)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Christelle Vincent","submitted_at":"2014-06-16T01:24:52Z","abstract_excerpt":"Let $f$ be a Drinfeld modular form for $\\Gamma_0(\\mathfrak{p})$. From such a form, one can obtain two forms for the full modular group $\\operatorname{GL}_2(A)$: by taking the trace or the norm from $\\Gamma_0(\\mathfrak{p})$ to $\\operatorname{GL}_2(A)$. In this paper we show some connections between the arithmetic modulo $\\mathfrak{p}$ of the coefficients of the $u$-series expansion of $f$ and those of a form closely related to its trace, and of the coefficients of $f$ and those of its norm."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3879","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"}