{"paper":{"title":"On the Periods of Ikeda-Yamana Lift for the Unitary Group I","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Jin Higashitani","submitted_at":"2026-05-18T12:17:55Z","abstract_excerpt":"Let $F$ be a totally real field and $E$ be a quadratic CM extension field of $F$. Let $n$ be a positive integer. We denote by $\\mathrm{I}_n$ the lift of the Hermitian modular form of weight $(w_{\\lambda})_{\\lambda}$ with level 1 to unramified automorphic forms defined on the unitary group constructed by Yamana. We then express the period $\\langle{\\mathrm{I}_n(f), \\mathrm{I}_n(f)}\\rangle$ of $\\mathrm{I}_n(f)$ for Hecke eigenforms $f$ in terms of special values of some types of $L$-functions of $f$. This is an extension of Katsurada's result concerning Ikeda's conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18294","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.18294/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-19T23:33:35.219704Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T23:21:58.912721Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"8f55c0e3d42c023008c5b7c022ca3258e7d2a62c72e2e1114a51b08bf420f0a8"},"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"}