On L-functions associated with the vector space of binary quadratic forms

DOI10.1017/S0027763000004475zbMath0774.11052OpenAlexW1870831201MaRDI QIDQ5288125

Hiroshi Saito

Publication date: 10 August 1993

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004475

zbMATH Keywords

functional equation\(L\)-functionsbinary quadratic formsanalytic continuationpolesresidues

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items (6)

Dirichlet series associated with square of class numbers of binary quadratic forms ⋮ The fundamental theorem of prehomogeneous vector spaces modulo $p^m$ (With an appendix by F. Sato) ⋮ Explicit formulas for the twisted Koecher-Maaß series of the Duke-Imamoglu-Ikeda lift and their applications ⋮ A converse theorem for double Dirichlet series and Shintani zeta functions ⋮ Elliptic modular forms arising from zeta functions in two variables attached to the space of binary Hermitian forms ⋮ Converse theorems for automorphic distributions and Maass forms of level \(N\)

Cites Work

• Meromorphic property of the functions \(P^ \lambda\)

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