Automorphy of the principal Eisenstein series of weight 1: An application of the double sine function

• Kurokawa Nobushige

  Department of Mathematics Tokyo Institute of Technology

抄録

We calculate cuspidal values of the modular transform of the principal Eisenstein series of weight 1. We obtain this by looking at derivatives of the double sine function. Our result is considered to be an explicit calculation of values of a Stirling modular function.

収録刊行物

• ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ

  ＫＯＤＡＩ　ＭＡＴＨＥＭＡＴＩＣＡＬ　ＪＯＵＲＮＡＬ 32 (3), 391-403, 2009

  国立大学法人 東京工業大学理学院数学系

キーワード

• double sine function
• Eisenstein series
• modular function

詳細情報

• CRID: 1390282680249478528
• NII論文ID: 130004687912
• DOI: 10.2996/kmj/1257948885
• ISSN: 18815472
• ISSN: 03865991
• MRID: 2582007
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可