WEKO3
アイテム
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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/20.500.12000/181110f330061-235d-4116-9fb4-56b867d4eb50
| 名前 / ファイル | ライセンス | アクション | |
|---|---|---|---|
20740021seika.pdf
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| 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
× Kimoto, Kazufumi
|
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| 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 | |||||||||
| 書誌情報 |
発行日 2010-06-04 |
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