{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1390001205229033728.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"DOI","@value":"10.2206/kyushujm.58.71"}},{"identifier":{"@type":"MRID","@value":"2053720"}},{"identifier":{"@type":"URI","@value":"https://www.jstage.jst.go.jp/article/kyushujm/58/1/58_1_71/_pdf"}},{"identifier":{"@type":"NAID","@value":"130000063080"}}],"dc:title":[{"@language":"en","@value":"AUTOMORPHIC FORMS ON THE COMPLEX AND REAL BALLS DERIVED FROM THETA CONSTANTS"}],"dc:language":"en","description":[{"type":"abstract","notation":[{"@language":"en","@value":"Through the modular embedding of the complex <i>n</i>-dimensional ball <b>B</b><sup><i>n</i></sup><sub><b>C</b></sub> into the Siegel upper half-space <b>S</b><sup><i>n</i>+1</sup> of degree <i>n</i> + 1 with respect to the Eisenstein integers <b>Z</b>[ω], we pull back the theta constants on <b>S</b><sup><i>n</i>+1</sup>. We find a condition on the characteristics of the theta constants so that the pullbacks are non-zero automorphic forms on <b>B</b><sup><i>n</i></sup><sub><b>C</b></sub> with respect to the congruence subgroup Γ(1−ω). These automorphic forms are real valued on the real ball naturally embedded in the complex ball."}],"abstractLicenseFlag":"disallow"}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1410001205229033728","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000021529537"}],"foaf:name":[{"@language":"en","@value":"MATSUMOTO Keiji"}],"jpcoar:affiliationName":[{"@language":"en","@value":"Division of Mathematics Graduate School of Science Hokkaido University"},{"@language":"ja","@value":"Division of Mathematics Graduate School of Science Hokkaido University"}]}],"publication":{"publicationIdentifier":[{"@type":"PISSN","@value":"13406116"},{"@type":"EISSN","@value":"18832032"},{"@type":"NCID","@value":"AA10994346"}],"prism:publicationName":[{"@language":"en","@value":"Kyushu Journal of Mathematics"},{"@language":"en","@value":"Kyushu J. Math."},{"@language":"ja","@value":"九州数学雑誌"}],"dc:publisher":[{"@language":"en","@value":"Faculty of Mathematics, Kyushu University"},{"@language":"ja","@value":"九州大学大学院数理学研究院"}],"prism:publicationDate":"2004","prism:volume":"58","prism:number":"1","prism:startingPage":"71","prism:endingPage":"104"},"reviewed":"false","dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","url":[{"@id":"https://www.jstage.jst.go.jp/article/kyushujm/58/1/58_1_71/_pdf"},{"@id":"http://hdl.handle.net/2324/11704"}],"availableAt":"2004","foaf:topic":[{"@id":"https://cir.nii.ac.jp/all?q=General%20Mathematics","dc:title":"General Mathematics"}],"relatedProduct":[{"@id":"https://cir.nii.ac.jp/crid/1360011145843938688","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"THE MONODROMY OF THE PERIOD MAP OF A 4-PARAMETER FAMILY OF K3 SURFACES AND THE HYPERGEOMETRIC FUNCTION OF TYPE (3, 6)"}]},{"@id":"https://cir.nii.ac.jp/crid/1360292619547846144","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"INVARIANTS FOR SOME REAL HYPERBOLIC GROUPS"}]},{"@id":"https://cir.nii.ac.jp/crid/1360574096522246784","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Theta constants associated to cubic threefolds"}]},{"@id":"https://cir.nii.ac.jp/crid/1360855570445044480","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The Geometry of some special Arithmetic Quotients"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418519153637248","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"New complex- and quaternion-hyperbolic reflection groups"}]},{"@id":"https://cir.nii.ac.jp/crid/1361418521483077248","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Theta Functions"}]},{"@id":"https://cir.nii.ac.jp/crid/1362544421297120384","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Point sets and allied Cremona groups. I"}]},{"@id":"https://cir.nii.ac.jp/crid/1362825893697098752","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Hypergeometric Functions, My Love"}]},{"@id":"https://cir.nii.ac.jp/crid/1363107369919210112","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"Point sets and allied Cremona groups. 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II"}]},{"@id":"https://cir.nii.ac.jp/crid/1364233270723225472","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The complex hyperbolic geometry of the moduli space of cubic surfaces"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001204955180672","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"On the representation of the Picard modular function by θ constants. I–II"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001204955723264","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"Theta Constants Associated with the Cyclic Triple Coverings of the Complex Projective Line Branching at Six Points"}]},{"@id":"https://cir.nii.ac.jp/crid/1390001205228761728","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"A GRADED ALGEBRA RELATED TO CUBIC SURFACES"}]},{"@id":"https://cir.nii.ac.jp/crid/1390282680206070912","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@language":"en","@value":"W (E6)-ACTION ON THE CONFIGURATION SPACE OF SIX LINES ON THE REAL PROJECTIVE PLANE"}]},{"@id":"https://cir.nii.ac.jp/crid/1524232505634008448","@type":"Article","relationType":["references"],"jpcoar:relatedTitle":[{"@value":"The uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces"},{"@language":"ja-Kana","@value":"uniformizing differential equation of the complex hyperbolic structure on the moduli space of marked cubic surfaces"}]}],"dataSourceIdentifier":[{"@type":"JALC","@value":"oai:japanlinkcenter.org:0024937967"},{"@type":"CROSSREF","@value":"10.2206/kyushujm.58.71"},{"@type":"CIA","@value":"130000063080"},{"@type":"OPENAIRE","@value":"doi_dedup___::44ab0177d2df40736c74d79c28851ddd"}]}