On the Siegel Eisenstein series of degree two for low weights

• Gunji Keiichi

  Department of Mathematics, Chiba Institute of Technology

Abstract

In this paper, we give the Fourier coefficients of Siegel Eisenstein series of degree 2, level p, in order to calculate the dimensions of the space of Eisenstein series for low weights. The main methods of the calculation is to compute the Siegel series of level p directly, following the similar way to that of Kaufhold.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 67 (3), 1043-1067, 2015

  The Mathematical Society of Japan

Keywords

• Siegel modular forms
• Eisenstein series

Details

• CRID: 1390282680092579456
• NII Article ID: 130005094196
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06731043
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 026603000
• Web Site: http://id.ndl.go.jp/bib/026603000
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026603000
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed