{"paper":{"title":"Differential modular forms attached to newforms mod p","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alexandru Buium","submitted_at":"2014-09-18T16:35:33Z","abstract_excerpt":"In a previous paper we attached to classical complex newforms $f$ of weight $2$ certain $\\delta_p$-modular forms $f^{\\sharp}$ of order $2$ and weight $0$; the forms $f^{\\sharp}$ can be viewed as \"dual\" to $f$ and played a key role in some of the applications of the theory. The aim of this paper is to provide a higher weight version of this \"$\\sharp$-duality,\" by attaching to classical newforms mod $p$, $\\overline{f}$, of weight $\\kappa$ between $3$ and $p$, $\\delta_{\\pi}$-modular forms $f^{\\sharp}$ of order $2$ and weight $-\\kappa'$, with $\\kappa'$ between $1$ and $p-2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.5367","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"}