WEKO3
アイテム
{"_buckets": {"deposit": "76162dbf-db04-4a48-b6ea-07afd1fca142"}, "_deposit": {"id": "39993", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "39993"}, "status": "published"}, "_oai": {"id": "oai:repository.dl.itc.u-tokyo.ac.jp:00039993", "sets": ["6890", "6892"]}, "item_4_biblio_info_7": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2014-02-19", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "4", "bibliographicPageEnd": "595", "bibliographicPageStart": "569", "bibliographicVolumeNumber": "20", "bibliographic_titles": [{"bibliographic_title": "Journal of mathematical sciences, the University of Tokyo"}]}]}, "item_4_description_5": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As an application we obtain asymptotic expansions for p-adic oscillatory integrals attached to Laurent polynomials. We show the existence of two different asymptotic expansions for p-adic oscillatory integrals, one when the absolute value of the parameter approaches infinity, the other when the absolute value of the parameter approaches zero. These two asymptotic expansions are controlled by the poles of twisted local zeta functions of Igusa type.", "subitem_description_type": "Abstract"}]}, "item_4_publisher_20": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Graduate School of Mathematical Sciences, The University of Tokyo"}]}, "item_4_source_id_10": {"attribute_name": "書誌レコードID", "attribute_value_mlt": [{"subitem_source_identifier": "AA11021653", "subitem_source_identifier_type": "NCID"}]}, "item_4_source_id_8": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "13405705", "subitem_source_identifier_type": "ISSN"}]}, "item_4_subject_15": {"attribute_name": "日本十進分類法", "attribute_value_mlt": [{"subitem_subject": "415", "subitem_subject_scheme": "NDC"}]}, "item_4_text_16": {"attribute_name": "Mathematical Reviews Number", "attribute_value_mlt": [{"subitem_text_value": "MR"}]}, "item_4_text_17": {"attribute_name": "Mathmatical Subject Classification", "attribute_value_mlt": [{"subitem_text_value": "14G10(MSC2010)"}, {"subitem_text_value": "11S40(MSC2010)"}, {"subitem_text_value": "11T23(MSC2010)"}, {"subitem_text_value": "14M25(MSC2010)"}]}, "item_4_text_33": {"attribute_name": "原稿受領日", "attribute_value_mlt": [{"subitem_text_value": "2013-03-15"}]}, "item_4_text_34": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_4_text_4": {"attribute_name": "著者所属", "attribute_value_mlt": [{"subitem_text_value": "Centro de Ciencias Matemáticas, UNAM, Campus Morelia"}, {"subitem_text_value": "Centro de Investigación y de Estudios, Avanzados del Instituto Politécnico Nacional, Departamento de Matemáticas- Unidad Querétaro"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "León-Cardenal, E."}], "nameIdentifiers": [{"nameIdentifier": "92416", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "Zúñiga-Galindo, W. A."}], "nameIdentifiers": [{"nameIdentifier": "92417", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "ファイル情報", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2017-06-14"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "jms200402.pdf", "filesize": [{"value": "221.1 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 221100.0, "url": {"label": "jms200402.pdf", "url": "https://repository.dl.itc.u-tokyo.ac.jp/record/39993/files/jms200402.pdf"}, "version_id": "9b13eba6-21f4-46cc-8c70-76c20de520e1"}]}, "item_keyword": {"attribute_name": "キーワード", "attribute_value_mlt": [{"subitem_subject": "p-adic oscillatory integrals", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Laurent polynomials", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Igusa zeta function", "subitem_subject_scheme": "Other"}, {"subitem_subject": "Newton polytopes", "subitem_subject_scheme": "Other"}, {"subitem_subject": "non-degeneracy conditions at infinity", "subitem_subject_scheme": "Other"}]}, "item_language": {"attribute_name": "言語", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "資源タイプ", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields"}]}, "item_type_id": "4", "owner": "1", "path": ["6890", "6892"], "permalink_uri": "http://hdl.handle.net/2261/59050", "pubdate": {"attribute_name": "公開日", "attribute_value": "2015-12-15"}, "publish_date": "2015-12-15", "publish_status": "0", "recid": "39993", "relation": {}, "relation_version_is_last": true, "title": ["Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields"], "weko_shared_id": null}
Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields
http://hdl.handle.net/2261/59050
http://hdl.handle.net/2261/590509a1d6920-9f3a-45a9-9dc2-b3e89855f72c
名前 / ファイル | ライセンス | アクション |
---|---|---|
jms200402.pdf (221.1 kB)
|
|
Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
---|---|---|---|---|---|---|
公開日 | 2015-12-15 | |||||
タイトル | ||||||
タイトル | Local Zeta Functions for Non-degenerate Laurent Polynomials Over p-adic Fields | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | p-adic oscillatory integrals | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Laurent polynomials | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Igusa zeta function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Newton polytopes | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | non-degeneracy conditions at infinity | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
León-Cardenal, E.
× León-Cardenal, E.× Zúñiga-Galindo, W. A. |
|||||
著者所属 | ||||||
著者所属 | Centro de Ciencias Matemáticas, UNAM, Campus Morelia | |||||
著者所属 | ||||||
著者所属 | Centro de Investigación y de Estudios, Avanzados del Instituto Politécnico Nacional, Departamento de Matemáticas- Unidad Querétaro | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | In this article, we study local zeta functions attached to Laurent polynomials over p-adic fields, which are non-degenerate with respect to their Newton polytopes at infinity. As an application we obtain asymptotic expansions for p-adic oscillatory integrals attached to Laurent polynomials. We show the existence of two different asymptotic expansions for p-adic oscillatory integrals, one when the absolute value of the parameter approaches infinity, the other when the absolute value of the parameter approaches zero. These two asymptotic expansions are controlled by the poles of twisted local zeta functions of Igusa type. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 20, 号 4, p. 569-595, 発行日 2014-02-19 |
|||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR | ||||||
Mathmatical Subject Classification | ||||||
14G10(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11S40(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
11T23(MSC2010) | ||||||
Mathmatical Subject Classification | ||||||
14M25(MSC2010) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2013-03-15 |