Whittaker functions associated to newforms for GL(n) over p-adic fields

• Miyauchi Michitaka

  Faculty of Liberal Arts and Sciences, Osaka Prefecture University

書誌事項

タイトル別名

• Whittaker functions associated to newforms for <i>GL</i>(<i>n</i>) over <i>p</i>-adic fields

抄録

Let F be a non-Archimedean local field of characteristic zero. Jacquet, Piatetski-Shapiro and Shalika introduced the notion of newforms for irreducible generic representations of GL_n(F). In this paper, we give an explicit formula for Whittaker functions associated to newforms on the diagonal matrices in GL_n(F).

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 66 (1), 17-24, 2014

  一般社団法人 日本数学会

キーワード

• local newform
• Whittaker function

詳細情報

• CRID: 1390001205116357120
• NII論文ID: 130003394352
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06610017
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 025162005
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I025162005
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
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