Sp(2 : $\mathbb{R}$) = Sp$_4$($\mathbb{R})のclass 1Whittaker 関数について(整数論と保型形式)

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概要

• 論文の詳細を見る
• 京都大学の論文

著者

• 織田 孝幸

  東京大学数理科学研究科

• 織田 孝幸

  東京大学理学部

関連論文

• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 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)
• Principal series Whittaker functions on $SL$(3, $\mathbf{R}$) (Automorphic forms and representations of algebraic groups over local fields)
• 小林俊行氏の業績
• PRINCIPAL SERIES WHITTAKER FUNCTIONS ON $GL$(3, C) (Automorphic Representations, Automorphic Forms, L-functions, and Related Topics)
• THE SECONDARY SPHERICAL FUNCTIONS AND GREEN CURRENTS ASSOCIATED WITH CERTAIN SYMMETRIC PAIRS (Representation Theory and Analysis on Homogeneous Spaces)
• The standard ($\mathfrak{g}, K$)-modules for $Sp$(2, $\mathbf{R}$) (II) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• WHITTAKER FUNCTIONS FOR $P_J$-PRINCIPAL SERIES REPRESENTATIONS OF $Sp$(3, $\mathbf{R}$) (Automorphic forms on $Sp$(2,$\mathbf{R}$) and $SU$(2,2) III)
• The standard $(\mathfrak{g}, K)$-modules of $S_p(2,\mathbf{R})$ I : The case of principal series (Construction of Automorphic Forms and Its Applications)
• Automorphic forms on type IV symmetric domains (Automorphic forms on type IV symmetric domains)
• Birch Swinnerton-Dyer 予想
• Non-spherical principal series Whittaker functions on $SL(3,\mathbf{R})$ (Deformation of differential equations and asymptotic analysis)
• 数論的多様体のモジュラー因子に対するグリーン函数の第二種球函数を用いた構成について (代数群上の保型形式・保型表現と保型的$L$関数)
• Matrix coefficients of the large discrete series representations of $Sp(2;R)$ as hypergeometric series of two variables (II)
• 保型形式の数論のための実解析
• MATRIX COEFFICIENTS OF THE MIDDLE DISCRETE SERIES OF $SU(2,2)$ (Automorphic Forms and Number Theory)
• Geometric automorphic forms and spherical functions I(Algebraic Number Theory and Related Topics)
• 自明な標準因子をもつ代数曲面のモジュライの超越的な理論の復習(Sp(2 ; $\mathbb{R}$)とSU(2,2)上の保型形式)
• MATRIX COEFFICIENTS OF THE LARGE DISCRETE SERIES REPRESENTATIONS OF Sp(2 ; $\mathbb{R}$) AS HYPERGEOMETRIC SERIES OF TWO VARIABLES
• TOWARD WAVE MODELS OF REPRESENTATIONS OF REAL SEMISIMPLE LIE GROUPS
• An explicit integral representation of Whittaker functions for the representations of the discrete series : The case of $SU(2,2)$
• GALOIS ACTION ON THE PRO-NILPOTENT COMPLETION OF THE FUNDAMENTAL GROUPS OF ALGEBRAIC CURVES(Algebraic Analysis and Number Theory)
• The matrix coefficients of the large discrete series of $SU$(3,1) (Automorphic forms, trace formulas and zeta functions)
• Local monodromy on the fundamental groups of algebraic curves along a degenerate stable curve
• Braid群のBurau表現の特殊化の"全射性"について(保型形式と関連するゼータ関数の研究)
• Artinの組紐群のBurau表現の数論的側面 (無限自由度の解析学--数理物理の現在)
• Abelian l-adic representations associated with Selberg integrals II(Research on Complex Analytic Geometry and Related Topics)
• Sp(2 : $\mathbb{R}$) = Sp$_4$($\mathbb{R})のclass 1Whittaker 関数について(整数論と保型形式)
• 二次元射影空間の、完全四角形で分岐するKummer被覆のcohomology群 : II(代数的K-理論と代数的整数論)
• Abelian Varieties Attached to Hilbert Modular Surfaces (Recent Topics in Algebraic Geometry)
• 球函数付きのニ次形式のテータ級数とモジュラー形式 (線型微分方程式の変形理論とアーベル函数論の拡張への新しい視点)
• 球函数つきのニ次形式のテータ函数よりできるSiegel尖点形式について (概均質ベクトル空間とその応用 II)
• 多変数のSchwarz微分について (代数解析学とその応用)

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