SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)

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概要

• 論文の詳細を見る
• 京都大学の論文

著者

• 石井 卓

  成蹊大学理工学部

• 森山 知則

  大阪大学理学研究科数学専攻

• 石井 卓

  CHIBA INSTITUTE OF TECHNOLOGY

• 石井 卓

  東京工業大学

• 森山 知則

  上智大学理工学部

関連論文

• A REMARK ON ARCHIMEDEAN ZETA INTEGRALS ON GL(n)×GL(m)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• CLASS ONE WHITTAKER FUNCTIONS ON REAL SEMISIMPLE LIE GROUPS(Automorphic representations, L-functions, and periods)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• $SO_o(2, q)$のクラス1主系列表現に対する球関数について (?型対称領域上の保型形式の研究)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• PRINCIPAL SERIES WHITTAKER FUNCTIONS ON SYMPLECTIC GROUPS (Automorphic forms and representations of algebraic groups over local fields)
• EXPLICIT FORMULAS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON $Sp$(2, R) (Diophantine Problems and Analytic Number Theory)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• UNIQUENESS OF GENERALIZED WHITTAKER MODELS FOR $GSp(2, \mathbf{R})$ AND THE OUTER AUTOMORPHISM GROUP OF $Sp(2, \mathbf{R})$ (Automorphic forms, automorphic representations and related topics)
• Confluence from Siegel-Whittaker functions to Whittaker functions on $Sp$(2, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• SPINOR $L$-FUNCTIONS FOR GENERIC CUSP FORMS ON $GSp$(2) BELONGING TO PRINCIPAL SERIES REPRESENTATIONS (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 次数2のSiegel保型形式のFourier展開とGSp(2, $\mathbf{R}$)上の局所Bessel関数 ($Sp$(2,$\mathbf{R}$)と$SU$(2,2)上の保型形式 III)
• L-functions for generic cusp forms on GSp(2)×GL(2) (保型形式の構成とその応用 研究集会報告集)
• 松島-村上同型と簡約Lie群のコホモロジー的表現について (IV型対称領域上の保型形式の研究)
• Automorphic L-functions via Novodvorsky's integrals (代数的整数論とその周辺 研究集会報告集)
• L-functions attached to non-holomorphic Siegel modular forms of degree 2〔和文〕 (Diophantine Problems and Analytic Number Theory)
• $Sp(2,\rm{\boldmath{R}})$上のWhittaker関数とNovodvorskyのゼータ積分について (保型形式およびそれに付随するディリクレ級数の研究)
• 直交群$O(3,2)$上の一般化球関数および関連する局所ゼータ積分 (代数群上の保型形式・保型表現と保型的$L$関数)
• ARCHIMEDEAN $L$-FACTORS FOR STANDARD $L$-FUNCTIONS ATTACHED TO NON-HOLOMORPHIC SIEGEL MODULAR FORMS OF DEGREE 2 (Automorphic Representations and Related Topics)

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