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Let $g$ be a cuspidal Hilbert modular form of parallel weight (2,...,2) and level $\\mathcal{N}$ over a totally real field F, and let K/F be a totally imaginary quadratic extension of relative discriminant $\\mathcal{D}$. We study the $l$-adic valuation of the special values $L(g,\\chi,\\frac{1}{2})$ as \\chi varies over the ring class characters of K of $\\mathcal{P}$-power conductor, for some fixed prime ideal $\\mathcal{P}"},"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":"1302.3249","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2013-02-13T21:33:56Z","cross_cats_sorted":[],"title_canon_sha256":"c947a42145123515f7c4da6f0513730c0a48be2979447660c8ac39c79944f29d","abstract_canon_sha256":"b822abca6b64e772215e72828c6f58089aa047f417b5540b2d336c72cf8e7d1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:04.388287Z","signature_b64":"lAV6IcpC5AiYTqcHgDvlVZJ8qAwjMMnw+ZsEaKQj+PWGtzR0aZ9GvYhBCuPYr9ZdSXyuM03Cr7sCALkpBMJrCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c16ad977f67021a90f4a5fe5842e7288e94e26c982ec55ed06ddc01eaed16a62","last_reissued_at":"2026-05-18T01:04:04.387852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:04.387852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Special Values of Anticyclotomic L-functions Modulo \\lambda","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alia Hamieh","submitted_at":"2013-02-13T21:33:56Z","abstract_excerpt":"The purpose of this article is to generalize some results of Vatsal on studying the special values of Rankin-Selberg L-functions in an anticyclotomic $\\mathbb{Z}_{p}$-extension. 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