Tadashi Miyazaki

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All published works

Action	Title	Year	Authors
+ PDF Chat	Whittaker functions on GL(4,R) and archimedean Bump--Friedberg integrals	2024	Miki Hirano Taku Ishii Tadashi Miyazaki
+	Uniform Integrality of critical values of the Rankin-Selberg $L$-function for ${\rm GL}_{n}\times {\rm GL}_{n-1}$	2023	Takashi Hara Tadashi Miyazaki Kenichi Namikawa
+	Calculus of archimedean Rankin–Selberg integrals with recurrence relations	2022	Taku Ishii Tadashi Miyazaki
+	Archimedean zeta integrals for 𝐺𝐿(3)×𝐺𝐿(2)	2022	Miki Hirano Taku Ishii Tadashi Miyazaki
+	Automorphic pairs of distributions on $\mathbb{R}$ and Maass forms of real weight	2022	Tadashi Miyazaki
+ PDF Chat	Archimedean zeta integrals for $GL(3)\times GL(2)$	2021	Miki Hirano Taku Ishii Tadashi Miyazaki
+	Archimedean zeta integrals for $GL(3)\times GL(2)$	2021	Miki Hirano Taku Ishii Tadashi Miyazaki
+	Automorphic pairs of distributions on $\mathbb{R}$, and Maass forms of real weights	2020	Tadashi Miyazaki
+	Calculus of archimedean Rankin--Selberg integrals with recurrence relations	2020	Taku Ishii Tadashi Miyazaki
+ PDF Chat	Converse theorems for automorphic distributions and Maass forms of level N	2019	Tadashi Miyazaki Fumihiro Satō Kazunari Sugiyama Takahiko Ueno
+	Converse theorems for automorphic distributions and Maass forms of level N	2019	Tadashi Miyazaki Fumihiro Satō Kazunari Sugiyama Takahiko Ueno
+	The local zeta integrals for $\mathit{GL}(2,\mathbf{C})\times \mathit{GL}(2,\mathbf{C})$	2018	Tadashi Miyazaki
+	The archimedean zeta integrals for GL(3) × GL(2)	2016	Miki Hirano Taku Ishii Tadashi Miyazaki
+	The archimedean zeta integrals for $\mathit{GL}(3)\times \mathit{GL}(2)$	2016	Miki Hirano Taku Ishii Tadashi Miyazaki
+	The Eisenstein series for GL(3,Z) induced from cusp forms	2012	Tadashi Miyazaki
+	The archimedean Whittaker functions on GL(3)	2011	Miki Hirano Taku Ishii Tadashi Miyazaki
+	Principal series Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="bold">C</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2011	Tadashi Miyazaki
+	The structures of standard (g,K)-modules of SL(3,R)	2008	Tadashi Miyazaki
+	Whittaker functions for generalized principal series representations of SL(3, R)	2008	Tadashi Miyazaki
+	The $(g,K)$-module structures of principal series representations of $Sp(3,R)$	2007	Tadashi Miyazaki
+	The structures of standard (g,K)-modules of SL(3,R)	2007	Tadashi Miyazaki
+	Duality, generalized Chern–Simons terms and gauge transformations in a high dimensional curved spacetime	2003	Hisashi Echigoya Tadashi Miyazaki Tomohiko Shibuya
+	De Rham-Kodaira's Theorem and Dual Gauge Transformations	2000	Hisashi Echigoya Tadashi Miyazaki
+ PDF Chat	HOW TO CONSTRUCT A COORDINATE REPRESENTATION OF A HAMILTONIAN OPERATOR ON A TORUS	1996	SUMIO ISHIKAWA Tadashi Miyazaki Kazuyoshi Yamamoto M. Yamanobe
+	Strings and p-branes with or without spin degrees of freedom and q-form fields	1996	Tadashi Miyazaki
+	Schrödinger equations in constrained space with several initial constraints	1996	Masanobu Nojiri Takashi Matsunaga Tadashi Miyazaki C. Ohzeki M. Yamanobe
+ PDF Chat	INTERACTING OPEN p-BRANES	1995	SUMIO ISHIKAWA YASUHIRO IWAMA Tadashi Miyazaki M. Yamanobe

Common Coauthors

Coauthor	Papers Together
Taku Ishii	9
Miki Hirano	6
M. Yamanobe	3
Takahiko Ueno	2
SUMIO ISHIKAWA	2
Kazunari Sugiyama	2
Hisashi Echigoya	2
Fumihiro Satō	2
YASUHIRO IWAMA	1
C. Ohzeki	1
T. Shibuya	1
Takashi Hara	1
Kenichi Namikawa	1
Miki Hirano	1
Kazuyoshi Yamamoto	1
Takashi Matsunaga	1
Masanobu Nojiri	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Multiplicity One Theorem for GL n	1974	J. A. Shalika	6
+	Automorphic Forms and Representations	1997	Daniel Bump	6
+	On principal series Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">Sp</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo></mml:math>R)	2005	Taku Ishii	5
+	On Whittaker vectors and representation theory	1978	Bertram Kostant	5
+ PDF Chat	Automorphic Forms on GL (2)	1970	H. Jacquet R. P. Langlands	5
+	Mellin transforms of GL ( n , [inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="01i" /]) whittaker functions	2001	Eric Stade	5
+	�ber die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen	1967	Andr� Weil	4
+	Distributions and analytic continuation of Dirichlet series	2004	Stephen D. Miller Wilfried Schmid	4
+	Whittaker newforms for archimedean representations of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="normal">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	Alexandru A. Popa	4
+ PDF Chat	Reducibility of generalized principal series representations	1980	Birgit Speh David A. Vogan	4
+ PDF Chat	Archimedean Rankin-Selberg integrals	2009	Hervé Jacquet	4
+ PDF Chat	Distributions with automorphy and Dirichlet series	1979	Toshiaki Suzuki	4
+	A Course of Modern Analysis	1996	E. T. Whittaker G. N. Watson	4
+ PDF Chat	Tables of Integral Transforms	2005	Bateman Manuscript H. Bateman Arthur Erdélyi	4
+	A converse theorem for double Dirichlet series	2011	Nikolaos Diamantis Dorian Goldfeld	4
+	Asymptotic expansions of generalized matrix entries of representations of real reductive groups	1983	Nolan R. Wallach	4
+	Automorphic forms and representations	1997	Daniel Bump	3
+ PDF Chat	The Rankin–Selberg Method for Automorphic Distributions	2007	Stephen D. Miller Wilfried Schmid	3
+ PDF Chat	Principal series Whittaker functions on <i>SL</i> (3, R)	2004	Hiroyuki Manabe Taku Ishii Takayuki Oda	3
+	ArchimedeanL-factors onGL(n) ×GL(n) and generalized Barnes integrals	2002	Eric Stade	3
+	Whittaker functions for generalized principal series representations of SL(3, R)	2008	Tadashi Miyazaki	3
+	Eigenspaces of invariant differential operators on an affine symmetric space	1980	Toshio Oshima Jiro Sekiguchi	3
+ PDF Chat	Automorphic Forms on GL (3,ℝ)	1984	Daniel Bump	3
+	On the integrable and square-integrable representations of ${\rm Spin}(1, 2m)$	1977	Ernest Thieleker	3
+ PDF Chat	Quantization and Non-holomorphic Modular Forms	2000	André Unterberger	3
+	Gelfand-Kirillov dimension for Harish-Chandra modules	1978	David A. Vogan	3
+ PDF Chat	Automorphic Forms on GL(2) Part II	1972	Hervé Jacquet	3
+	The structures of standard (g,K)-modules of SL(3,R)	2008	Tadashi Miyazaki	3
+ PDF Chat	A functional equation and degenerate principal series	2016	Juhyung Lee	2
+	Real reductive groups II	1992	Nolan R. Wallach	2
+ PDF Chat	Dirichlet series and automorphic functions associated to a quadratic form	2003	Manfred Peter	2
+	Summation formulas, from Poisson and Voronoi to the present	2004	Stephen D. Miller Wilfried Schmid	2
+	Lectures on Modular Functions of One Complex Variable	1983	Hans Maaß	2
+ PDF Chat	Zeta functions in several variables associated with prehomogeneous vector spaces, II. A convergence criterion	1983	Fumihiro Satō	2
+ PDF Chat	On <i>L</i>-functions associated with the vector space of binary quadratic forms	1993	Hiroshi Saitō	2
+	On zeta functions of ternary zero forms	1982	Fumihiro Satō	2
+	Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$	2006	Miki Hirano Taku Ishii Takayuki Oda	2
+	Function Theory Related to the Group PSL2(ℝ)	2012	Richard Bruggeman James B. Lewis Don Zagier	2
+	New formulas for Whittaker functions on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="italic">GL</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>n</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>	2007	Taku Ishii Eric Stade	2
+ PDF Chat	Remarks on metaplectic representations of SL(2)	1992	Hiroyuki Yoshida	2
+ PDF Chat	Modular forms for 𝐺₀(𝑁) and Dirichlet series	1977	Michael J. Razar	2
+ PDF Chat	Zeta functions in several variables associated with prehomogeneous vector spaces, I. Functional equations	1982	Fumihiro Satō	2
+ PDF Chat	An explicit integral representation of Whittaker functions on ${\rm Sp}(2;{\bf R})$ for the large discrete series representations	1994	Takayuki Oda	2
+	Über einige Beziehungen, die mit der Funktionalgleichung der Riemannschen ζ-Funktion äquivalent sind	1922	Hans Hamburger	2
+	Dirichlet series in two variables	2000	Manfred Peter	2
+	Eigenfunctions on symmetric spaces with distribution-valued boundary forms	1978	John B. Lewis	2
+	A converse theorem for double Dirichlet series and Shintani zeta functions	2014	Nikolaos Diamantis Dorian Goldfeld	2
+ PDF Chat	L-functions and character sums for quadratic forms (I)	1968	H. Stärk	2
+ PDF Chat	Whittaker vectors and the Goodman-Wallach operators	1988	Hisayosi Matumoto	2
+	On Dirichlet series satisfying Riemann's functional equation	1994	Marvin I. Knopp	2