ログイン
言語:

WEKO3

  • トップ
  • ランキング
To
lat lon distance
To

Field does not validate



インデックスリンク

インデックスツリー

メールアドレスを入力してください。

WEKO

One fine body…

WEKO

One fine body…

アイテム

{"_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": "\u975e\u53ef\u63db\u8abf\u548c\u632f\u52d5\u5b50\u306e\u30b9\u30da\u30af\u30c8\u30eb\u30bc\u30fc\u30bf\u95a2\u6570\u306e\u7279\u6b8a\u5024\u3068\u30e2\u30b8\u30e5\u30e9\u30fc\u5f62\u5f0f", "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": "\u6728\u672c, \u4e00\u53f2", "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": "\u975e\u53ef\u63db\u8abf\u548c\u632f\u52d5\u5b50"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "\u30b9\u30da\u30af\u30c8\u30eb\u30bc\u30fc\u30bf\u95a2\u6570"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "\u7279\u6b8a\u5024"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "\u30e2\u30b8\u30e5\u30e9\u30fc\u5f62\u5f0f"}, {"subitem_1522299896455": "ja", "subitem_1522300014469": "Other", "subitem_1523261968819": "\u591a\u91cd\u30bc\u30fc\u30bf\u5024"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "\u79d1\u7814\u8cbb\u756a\u53f7: 20740021", "subitem_description_type": "Other"}, {"subitem_description": "2008\u5e74\u5ea6\uff5e2009\u5e74\u5ea6\u79d1\u5b66\u7814\u7a76\u8cbb\u88dc\u52a9\u91d1\uff08\u82e5\u624b\u7814\u7a76(\uff22)\uff09\u7814\u7a76\u6210\u679c\u5831\u544a\u66f8", "subitem_description_type": "Other"}, {"subitem_description": "\u7814\u7a76\u6982\u8981\uff08\u548c\u6587\uff09\uff1a\u975e\u53ef\u63db\u8abf\u548c\u632f\u52d5\u5b50\u3068\u547c\u3070\u308c\u308b\u5fae\u5206\u4f5c\u7528\u7d20\u306e\u30b9\u30da\u30af\u30c8\u30eb\u30bc\u30fc\u30bf\u95a2\u6570\uff08\u56fa\u6709\u5024\u3092\u307e\u3068\u3081\u3066\u51fa\u6765\u308b\u95a2\u6570\uff09\u306b\u3064\u3044\u3066\u7814\u7a76\u3057\u305f\u3002\u305d\u306e\u7279\u6b8a\u5024\uff08\u5909\u6570\u304c\u6b63\u306e\u6574\u6570\u306b\u304a\u3051\u308b\u5024\uff09\u306f\u3001\u3044\u308f\u3086\u308b\u30ea\u30fc\u30de\u30f3\u30bc\u30fc\u30bf\u5024\u306b\uff08\u975e\u53ef\u63db\u6027\u306b\u7531\u6765\u3059\u308b\uff09\u300c\u5270\u4f59\u9805\u300d\u304c\u4ed8\u3044\u305f\u5f62\u306b\u306a\u308b\u3002\u3053\u306e\u5270\u4f59\u9805\u304b\u3089\u5b9a\u307e\u308b\u9ad8\u6b21\u30a2\u30da\u30ea\u578b\u6570\u5217\u306e\u6bcd\u95a2\u6570\u304c\u6301\u3064\u69cb\u9020\u3092\u660e\u3089\u304b\u306b\u3057\u3001\u307e\u305f\u30a2\u30da\u30ea\u578b\u6570\u5217\u304c\u8a98\u5c0e\u3059\u308b\u591a\u91cd\u30bc\u30fc\u30bf\u5024\u306e\u5909\u7a2e\u306e\u8a08\u7b97\u3092\u884c\u3063\u305f\u3002", "subitem_description_type": "Other"}, {"subitem_description": "\u7814\u7a76\u6982\u8981\uff08\u82f1\u6587\uff09 : 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": "\u7814\u7a76\u5831\u544a\u66f8", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "ja", "subitem_1522300316516": "\u6728\u672c\u4e00\u53f2"}]}, "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_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": "\u975e\u53ef\u63db\u8abf\u548c\u632f\u52d5\u5b50\u306e\u30b9\u30da\u30af\u30c8\u30eb\u30bc\u30fc\u30bf\u95a2\u6570\u306e\u7279\u6b8a\u5024\u3068\u30e2\u30b8\u30e5\u30e9\u30fc\u5f62\u5f0f", "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": ["\u975e\u53ef\u63db\u8abf\u548c\u632f\u52d5\u5b50\u306e\u30b9\u30da\u30af\u30c8\u30eb\u30bc\u30fc\u30bf\u95a2\u6570\u306e\u7279\u6b8a\u5024\u3068\u30e2\u30b8\u30e5\u30e9\u30fc\u5f62\u5f0f"], "weko_shared_id": -1}
  1. その他
  1. 部局別インデックス
  2. 理学部

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

http://hdl.handle.net/20.500.12000/18111
http://hdl.handle.net/20.500.12000/18111
0f330061-235d-4116-9fb4-56b867d4eb50
名前 / ファイル ライセンス アクション
20740021seika.pdf 20740021seika.pdf
Item type デフォルトアイテムタイプ(フル)(1)
公開日 2010-09-28
タイトル
タイトル 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
言語 ja
作成者 木本, 一史

× 木本, 一史

ja 木本, 一史

Kimoto, Kazufumi

× Kimoto, Kazufumi

en Kimoto, Kazufumi

アクセス権
アクセス権 open access
アクセス権URI http://purl.org/coar/access_right/c_abf2
主題
言語 ja
主題Scheme Other
主題 非可換調和振動子
言語 ja
主題Scheme Other
主題 スペクトルゼータ関数
言語 ja
主題Scheme Other
主題 特殊値
言語 ja
主題Scheme Other
主題 モジュラー形式
言語 ja
主題Scheme Other
主題 多重ゼータ値
内容記述
内容記述タイプ Other
内容記述 科研費番号: 20740021
内容記述タイプ Other
内容記述 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
内容記述タイプ Other
内容記述 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。
内容記述タイプ Other
内容記述 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.
内容記述タイプ Other
内容記述 研究報告書
出版者
言語 ja
出版者 木本一史
言語
言語 jpn
資源タイプ
資源タイプ research report
資源タイプ識別子 http://purl.org/coar/resource_type/c_18ws
出版タイプ
出版タイプ AM
出版タイプResource http://purl.org/coar/version/c_ab4af688f83e57aa
識別子
識別子 http://hdl.handle.net/20.500.12000/18111
識別子タイプ HDL
戻る
0
views
See details
Views

Versions

Ver.1 2022-01-28 01:19:05.376941
Show All versions

Share

Mendeley Twitter Facebook Print Addthis

Cite as

エクスポート

OAI-PMH
  • OAI-PMH JPCOAR
  • OAI-PMH DublinCore
  • OAI-PMH DDI
Other Formats
  • JSON

確認


Powered by WEKO3


Powered by WEKO3