Certain Rankin-Selberg integral for unitary groups

• TSUZUKI MASAO

  Department of Mathematics, Sophia University

書誌事項

タイトル別名

• CERTAIN RANKIN-SELBERG INTEGRALS FOR UNITARY GROUPS

抄録

We consider the real rank one unitary group $G$ and its subgroup $H$ obtained as the stabilizer of an anisotropic vector in the skew-hermitian space defining $G$. We compute the inner-product of an Eisenstein series on $H$ and a non-holomorphic cuspidal Hecke eigenform on $G$ restricted to $H$ to obtain an integral representation of the standard $L$-function of the eigenform. We also discuss some consequences of the integral representation.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 61 (1), 115-164, 2009

  東北大学大学院理学研究科数学専攻

キーワード

• General Mathematics

詳細情報

• CRID: 1390282680095961600
• NII論文ID: 110007031057
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1238764549
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2501865
• 本文言語コード: en
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