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In this paper, for any positive integer $k\\ge 10$, we will construct a (non-zero) holomorphic cusp form on $\\mathfrak{T}$ of weight $2k$ with respect to $\\Gamma$ from a Hecke cusp form in $S_{2k-8}(SL_2(\\mathbb{Z}))$. This lift is an analogue of Ikeda's construction."},"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":"1412.5549","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-12-17T19:55:58Z","cross_cats_sorted":[],"title_canon_sha256":"ef252ef719dd363d36fb76a91bace2774a90d08f1c806135f38de5ab65e03f2d","abstract_canon_sha256":"99785eaccb09373633fc77168e0eec15672412816097c46d360ca66a7c02ffc3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:14.011019Z","signature_b64":"P+/Lg6ddbvwnb9+mu0GTyFGvLWQinrZ7OdY2ENRdwUTOOttqNWnygljWah1KfNYWAMPrjoAfoMVUqZobojEABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5f16d1ba1d1c4701d7d67260ce8094c9b405e7fc9b5aef473f19571f53e044a","last_reissued_at":"2026-05-17T23:53:14.010393Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:14.010393Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cusp forms for exceptional group of type $E_{7}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Henry H. Kim, Takuya Yamauchi","submitted_at":"2014-12-17T19:55:58Z","abstract_excerpt":"Let $\\bf{G}$ be the connected reductive group of type $E_{7,3}$ over $\\mathbb{Q}$ and $\\mathfrak{T}$ be the corresponding symmetric domain in $\\mathbb{C}^{27}$. Let $\\Gamma=\\bf{G}(\\mathbb{Z})$ be the arithmetic subgroup defined by Baily. In this paper, for any positive integer $k\\ge 10$, we will construct a (non-zero) holomorphic cusp form on $\\mathfrak{T}$ of weight $2k$ with respect to $\\Gamma$ from a Hecke cusp form in $S_{2k-8}(SL_2(\\mathbb{Z}))$. 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