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For a cuspidal Hecke eigenform h in the Kohnen plus subspace of weight k-n/2+1/2 and level 4, let I(h) be the Duke-Imamoglu-Ikeda lift of h in the space of cusp forms of weight k for Sp(n,Z), and f the primitive form of weight 2k-n for SL(2,Z) corresponding to h under the Shimura correspondence. We then express the ratio <I(h),I(h)>/< h, h > of the period of I(h) to that of h in terms of special values of certain L-functions of f. This proves the conjecture proposed by Ikeda concerning the period of the Duke-Imamoglu-Ikeda lift."},"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":"1008.4195","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-08-25T03:33:02Z","cross_cats_sorted":[],"title_canon_sha256":"608ba83f91e08a49878c61104ba2a4370745f720fc47b5dca56d7193a79f6519","abstract_canon_sha256":"070aecbd59b7e95457827f466fbaa6393ffa8f80d11578d7c9d25e9dab32233c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:27.078426Z","signature_b64":"ebd4QJwZ67vBb646YVfG/uQSd+PzwkkNeh1t1Mi2hRUw21ZvEluawDyBGTYbKPMQiyQt7uuxF1CYUKyEQnb2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"faabdab1350651a32a5d598740874f5746f05c8b844e7c751b42c5869efce1bd","last_reissued_at":"2026-05-18T03:10:27.077524Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:27.077524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ikeda's conjecture on the period of the Duke-Imamoglu-Ikeda lift","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Hidenori Katsurada, Hisa-aki Kawamura","submitted_at":"2010-08-25T03:33:02Z","abstract_excerpt":"Let k and n be positive even integers. For a cuspidal Hecke eigenform h in the Kohnen plus subspace of weight k-n/2+1/2 and level 4, let I(h) be the Duke-Imamoglu-Ikeda lift of h in the space of cusp forms of weight k for Sp(n,Z), and f the primitive form of weight 2k-n for SL(2,Z) corresponding to h under the Shimura correspondence. We then express the ratio <I(h),I(h)>/< h, h > of the period of I(h) to that of h in terms of special values of certain L-functions of f. 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