EXPLICIT FORMULAS OF PRINCIPAL SERIES WHITTAKER FUNCTIONS ON $Sp$(2, R) (Diophantine Problems and Analytic Number Theory)

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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

• 石井 卓

  CHIBA INSTITUTE OF TECHNOLOGY

• 石井 卓

  東京大学数理科学研究科

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)
• 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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