{"paper":{"title":"Twisted arithmetic Siegel Weil formula on X0(N)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Tonghai Yang, Tuoping Du","submitted_at":"2018-01-05T16:16:12Z","abstract_excerpt":"In this paper, we study twisted arithmetic divisors on the modular curve X_0(N) with N square-free. For each pair (\\Delta, r) where \\Delta >0 and \\Delta \\equiv r^2 \\mod 4N, we constructed a twisted arithmetic theta function \\phi_{\\Delta, r}(\\tau) which is a generating function of arithmetic twisted Heegner divisors. We prove the modularity of \\phi_{\\Delta, r}(\\tau), along the way, we also identify the arithmetic pairing \\langle \\phi_{\\Delta, r}(\\tau),\\widehat{\\omega}_N \\rangle with special value of some Eisenstein series, where \\widehat{\\omega}_N is a normalized metric Hodge line bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.01819","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"}