{"_buckets": {"deposit": "c896a665-2dfb-4976-8510-3efd6ad72f84"}, "_deposit": {"id": "2005669", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2005669"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02005669", "sets": ["1642838403123", "1642838406414"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "非可換調和振動子のスペクトルゼータ関数の特殊値とモジュラー形式", "subitem_1551255648112": "ja"}, {"subitem_1551255647225": "Special values of the spectral zeta function for the noncommutative harmonic oscillator and modular forms", "subitem_1551255648112": "en"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "木本, 一史", "creatorNameLang": "ja"}]}, {"creatorNames": [{"creatorName": "Kimoto, Kazufumi", "creatorNameLang": "en"}]}]}, "item_1617186476635": {"attribute_name": "Access Rights", "attribute_value_mlt": [{"subitem_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186609386": {"attribute_name": "Subject", "attribute_value_mlt": [{"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "非可換調和振動子"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "スペクトルゼータ関数"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "特殊値"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "モジュラー形式"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "多重ゼータ値"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "科研費番号: 20740021", "subitem_description_type": "Other"}, {"subitem_description": "2008年度～2009年度科学研究費補助金（若手研究(Ｂ)）研究成果報告書", "subitem_description_type": "Other"}, {"subitem_description": "研究概要（和文）：非可換調和振動子と呼ばれる微分作用素のスペクトルゼータ関数（固有値をまとめて出来る関数）について研究した。その特殊値（変数が正の整数における値）は、いわゆるリーマンゼータ値に（非可換性に由来する）「剰余項」が付いた形になる。この剰余項から定まる高次アペリ型数列の母関数が持つ構造を明らかにし、またアペリ型数列が誘導する多重ゼータ値の変種の計算を行った。", "subitem_description_type": "Other"}, {"subitem_description": "研究概要（英文） : We have studied the spectral zeta function associated to a differential operator called the noncommutative harmonic oscillator (NCHO in short). Each special value (i.e. the values at integral points) of the spectral zeta is expressed as a sum of a Riemann zeta value and certain terms (remainder terms) involving the structure parameter of NCHO, which is thought to reflect the noncommutativity of the NCHO. These remainder terms induce higher analogue of Apery-like numbers and some variants of multiple zeta values. We found a certain structure among the generating functions of these higher Apery-like numbers, as well as calculate explicitly the multiple zeta values associated to the remainder terms.", "subitem_description_type": "Other"}, {"subitem_description": "研究報告書", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "ja", "subitem_1522300316516": "木本一史"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "jpn"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/18111"}]}, "item_1617187056579": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2010-06-04", "bibliographicIssueDateType": "Issued"}}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "research report", "resourceuri": "http://purl.org/coar/resource_type/c_18ws"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "AM", "subitem_1600292170262": "http://purl.org/coar/version/c_ab4af688f83e57aa"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "20740021seika.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2005669/files/20740021seika.pdf"}, "version_id": "8fd6460d-013a-4891-8862-ebd359cefe2a"}]}, "item_title": "非可換調和振動子のスペクトルゼータ関数の特殊値とモジュラー形式", "item_type_id": "15", "owner": "1", "path": ["1642838403123", "1642838406414"], "permalink_uri": "http://hdl.handle.net/20.500.12000/18111", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2010-09-28"}, "publish_date": "2010-09-28", "publish_status": "0", "recid": "2005669", "relation": {}, "relation_version_is_last": true, "title": ["非可換調和振動子のスペクトルゼータ関数の特殊値とモジュラー形式"], "weko_shared_id": -1}