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": "990de0e3-3ef3-4544-96c5-760d8b2bd46e"}, "_deposit": {"id": "17980", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "17980"}, "status": "published"}, "_oai": {"id": "oai:nagoya.repo.nii.ac.jp:00017980", "sets": ["699"]}, "author_link": ["52457", "52458"], "item_10_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2011", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "1", "bibliographicPageEnd": "111", "bibliographicPageStart": "73", "bibliographicVolumeNumber": "11", "bibliographic_titles": [{"bibliographic_title": "MOSCOW MATHEMATICAL JOURNAL"}]}]}, "item_10_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Let L(s,χ) be either log L(s,χ) or L\u0027/L(s,χ), associated with an (abelian) L-function L(s,χ) of a global field K. For any quasi-character ψ: ℂ→ℂ× of the additive group of complex numbers, consider the average “Avgfχ=f” of ψ(L(s,χ)) over all Dirichlet characters χ on K with a given prime conductor f. This paper contains (i) study of the limit as N(f)→∞ of this average, (ii) basic studies of the analytic function Ms(z1,z2) in 3 complex variables arising from (i) (here, (z1,z2)∈ℂ2 is the natural parameter for ψ), and (iii) application to value-distribution theory for {L(s,χ)}χ. Our base field K is either a function field over a finite field, or a special type of number field: the rational number field ℚ or an imaginary quadratic field. But in the number field case, the Generalized Riemann Hypothesis is assumed in (i) and (iii).", "subitem_description_language": "en", "subitem_description_type": "Abstract"}]}, "item_10_identifier_60": {"attribute_name": "URI", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/2237/20072"}]}, "item_10_publisher_32": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "Independent University of Moscow", "subitem_publisher_language": "en"}]}, "item_10_select_15": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "publisher"}]}, "item_10_source_id_7": {"attribute_name": "ISSN", "attribute_value_mlt": [{"subitem_source_identifier": "1609-4514", "subitem_source_identifier_type": "PISSN"}]}, "item_1615787544753": {"attribute_name": "出版タイプ", "attribute_value_mlt": [{"subitem_version_resource": "http://purl.org/coar/version/c_970fb48d4fbd8a85", "subitem_version_type": "VoR"}]}, "item_access_right": {"attribute_name": "アクセス権", "attribute_value_mlt": [{"subitem_access_right": "open access", "subitem_access_right_uri": "http://purl.org/coar/access_right/c_abf2"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "IHARA, YASUTAKA", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "52457", "nameIdentifierScheme": "WEKO"}]}, {"creatorNames": [{"creatorName": "MATSUMOTO, KOHJI", "creatorNameLang": "en"}], "nameIdentifiers": [{"nameIdentifier": "52458", "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": "2018-02-21"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "13.pdf", "filesize": [{"value": "652.6 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_note", "mimetype": "application/pdf", "size": 652600.0, "url": {"label": "13.pdf", "objectType": "fulltext", "url": "https://nagoya.repo.nii.ac.jp/record/17980/files/13.pdf"}, "version_id": "12f52440-88e6-4983-81cd-cadef7cf0de3"}]}, "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": "journal article", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "On log L and L\u0027/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "On log L and L\u0027/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases", "subitem_title_language": "en"}]}, "item_type_id": "10", "owner": "1", "path": ["699"], "permalink_uri": "http://hdl.handle.net/2237/20072", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2014-06-04"}, "publish_date": "2014-06-04", "publish_status": "0", "recid": "17980", "relation": {}, "relation_version_is_last": true, "title": ["On log L and L\u0027/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases"], "weko_shared_id": -1}
  1. D200 大学院多元数理科学研究科
  2. D200a 雑誌掲載論文
  3. 学術雑誌

On log L and L'/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases

http://hdl.handle.net/2237/20072
http://hdl.handle.net/2237/20072
5acbdc43-f072-4fa1-8e41-1124a0e0c291
名前 / ファイル ライセンス アクション
13.pdf 13.pdf (652.6 kB)
Item type 学術雑誌論文 / Journal Article(1)
公開日 2014-06-04
タイトル
タイトル On log L and L'/L for L-Functions and the Associated “M-Functions”: Connections in Optimal Cases
言語 en
著者 IHARA, YASUTAKA

× IHARA, YASUTAKA

WEKO 52457

en IHARA, YASUTAKA

Search repository
MATSUMOTO, KOHJI

× MATSUMOTO, KOHJI

WEKO 52458

en MATSUMOTO, KOHJI

Search repository
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
抄録
内容記述 Let L(s,χ) be either log L(s,χ) or L'/L(s,χ), associated with an (abelian) L-function L(s,χ) of a global field K. For any quasi-character ψ: ℂ→ℂ× of the additive group of complex numbers, consider the average “Avgfχ=f” of ψ(L(s,χ)) over all Dirichlet characters χ on K with a given prime conductor f. This paper contains (i) study of the limit as N(f)→∞ of this average, (ii) basic studies of the analytic function Ms(z1,z2) in 3 complex variables arising from (i) (here, (z1,z2)∈ℂ2 is the natural parameter for ψ), and (iii) application to value-distribution theory for {L(s,χ)}χ. Our base field K is either a function field over a finite field, or a special type of number field: the rational number field ℚ or an imaginary quadratic field. But in the number field case, the Generalized Riemann Hypothesis is assumed in (i) and (iii).
言語 en
内容記述タイプ Abstract
出版者
言語 en
出版者 Independent University of Moscow
言語
言語 eng
資源タイプ
資源タイプresource http://purl.org/coar/resource_type/c_6501
タイプ journal article
出版タイプ
出版タイプ VoR
出版タイプResource http://purl.org/coar/version/c_970fb48d4fbd8a85
ISSN
収録物識別子タイプ PISSN
収録物識別子 1609-4514
書誌情報 MOSCOW MATHEMATICAL JOURNAL

巻 11, 号 1, p. 73-111, 発行日 2011
著者版フラグ
値 publisher
URI
識別子 http://hdl.handle.net/2237/20072
識別子タイプ HDL
戻る
0
views
See details
Views

Versions

Ver.1 2021-03-01 16:51:49.166192
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
  • BIBTEX

Confirm


Powered by WEKO3


Powered by WEKO3