The values of Hilbert-Eisenstein series at cusps

• 露峰, 茂明

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The Fourier coefficients, in particular the constant terms, of Hilbert- Eisenstein series have the number theoretic importance. The value at a cusp gives the constant terms of the Fourier expansion centered at the cusp. We give the values at all the cusps equivalent to √-1∞, of some specific Hilbert-Eisenstein series whose Fourier coefficients of higher terms are in rather simple form. The result may be useful to obtain the special values of L-functions or to investigate the Shimura lifting for elliptic modular forms.

収録刊行物

• 三重大学教育学部研究紀要, 自然科学・人文科学・社会科学・教育科学

  三重大学教育学部研究紀要, 自然科学・人文科学・社会科学・教育科学 64 1-20, 2013-03-31

  三重大学教育学部

詳細情報

• CRID: 1050282677916431744
• NII論文ID: 120005228827
• NII書誌ID: AA12097333
• HANDLE: 10076/12314
• NDL書誌ID: 024721502
• ISSN: 18802419
• Web Site: https://mie-u.repo.nii.ac.jp/records/3467
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I024721502
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • NDL
  • CiNii Articles