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For any prime $p$ unramified in $L$, we construct a $p$-adic $L$-function interpolating the central values of the twisted triple product $L$-functions attached to a $p$-nearly ordinary family of unitary cuspidal automorphic representations of $\\text{Res}_{L\\times F/F}(\\text{GL}_{2})$. Furthermore, when $L/\\mathbb{Q}$ is a real quadratic number field and $p$ is a split prime, we prove a $p$-adic Gross-Zagier formula relating the value of the $p$-adic $L$-function outside the range of interpolation to the syntomic Abel-Jacobi imag"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1710.03865","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-10-11T00:38:58Z","cross_cats_sorted":[],"title_canon_sha256":"837b23401eaa9335e73df2b79ba7652a28fcbf085ab5aad3151ce770d39bcdf6","abstract_canon_sha256":"c117717abf544f530fe98efdb3a00a9cb46417f96a10e2e31b8169a0f4ec7da6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:26.651200Z","signature_b64":"ErkB7+Ybmk5zAT9aFrq8zY6fsj8JE03mfwK70K8hpqYL6nZjE7wR1TGRAAhBFkQMmicW8jhnCjTcJ1uZbIMKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f18c07736946ebf40bb6a2e4700aa32ce1924749b1506efc06e03bcc427b1bc7","last_reissued_at":"2026-05-17T23:54:26.650577Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:26.650577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Twisted triple product p-adic L-functions and Hirzebruch-Zagier cycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Michele Fornea","submitted_at":"2017-10-11T00:38:58Z","abstract_excerpt":"Let $L/F$ be a quadratic extension of totally real number fields. 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