On the standard l-functions of central-simple algebras


İKEDA K. İ.

Bulletin des Sciences Mathematiques, cilt.124, sa.2, ss.147-155, 2000 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 124 Sayı: 2
  • Basım Tarihi: 2000
  • Doi Numarası: 10.1016/s0007-4497(00)00128-7
  • Dergi Adı: Bulletin des Sciences Mathematiques
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.147-155
  • Anahtar Kelimeler: Automorphic forms, L-functions
  • Boğaziçi Üniversitesi Adresli: Hayır

Özet

- In this article, we investigate (up to ℚ) the values of the standard L-function LMm(K) (s, Ψ) of the algebra Mm(K) over a CM-field K attached to a certain Hecke character Ψ of K (defined through a Hecke character ψ of the maximal totally real subfield F of K) at s = (k + 2n)/η(t); where m ≤ k ∈ ℤ is fixed and depends on the character ψ, ∀n ∈ ℤ+. © 2000 Éditions scientifiques et médicales Elsevier SAS.