SU\G(𝔸)/K·U

Kazuhiko Aomoto

Follow

Generating author description...

All published works
Action Title Year Authors
+ The sigma function over a family of curves with a singular fiber 2022 Yu. V. Fedorov
Jiyro Komeda
Shigeki Matsutani
Эмма Превиато
Kazuhiko Aomoto
+ Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals 2022 Kazuhiko Aomoto
Masahiko Ito
+ PDF Chat Product of Hessians and Discriminant of Critical Points of Level Function Attached to Sphere Arrangement 2022 Kazuhiko Aomoto
Masahiko Ito
+ PDF Chat Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants 2020 Kazuhiko Aomoto
Yoshinori Machida
+ PDF Chat Generalization of Schläfli formula to the volume of a spherically faced simplex 2019 Kazuhiko Aomoto
Yoshinori Machida
+ Hypersphere arrangement and imaginary cycles for hypergeometric integrals 2019 Kazuhiko Aomoto
+ The sigma function over a family of cyclic trigonal curves with a singular fiber 2019 Yu. V. Fedorov
Jiyro Komeda
Shigeki Matsutani
Эмма Превиато
Kazuhiko Aomoto
+ Scaling Limit Formula for 2-Point Correlation Function of Random Matrices 2018 Kazuhiko Aomoto
+ Configurations and Invariant Theory of Gauβ-Manin Systems 2018 Kazuhiko Aomoto
+ Connection Matrices and Riemann-Hilbert Problem for <i>Q</i>-Difference Equations 2017 Kazuhiko Aomoto
+ Connection Matrices and Riemann-Hilbert Problem for Q-Difference Equations 2017 Kazuhiko Aomoto
+ Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants 2017 Kazuhiko Aomoto
Yoshinori Machida
+ Generalization of Schlafli formula to the volume of a spherically faced simplex 2017 Kazuhiko Aomoto
Yoshinori Machida
+ PDF Chat Some problems of hypergeometric integrals associated with hypersphere arrangement 2015 Kazuhiko Aomoto
Yoshinori Machida
+ Double filtration of twisted logarithmic complex and Gauss–Manin connection 2015 Kazuhiko Aomoto
Yoshinori Machida
+ Double filtration of twisted logarithmic complex and Gauss–Manin connection 2015 Kazuhiko Aomoto
Yoshinori Machida
+ Integral representations and holonomic q-difference structure of Askey–Wilson type functions 2013 Kazuhiko Aomoto
+ Arrangement of Hyperplanes and Hypergeometric Functions over Grassmannians 2011 Kazuhiko Aomoto
Michitake Kita
+ Introduction: the Euler−Gauss Hypergeometric Function 2011 Kazuhiko Aomoto
Michitake Kita
+ Holonomic Difference Equations and Asymptotic Expansion 2011 Kazuhiko Aomoto
Michitake Kita
+ PDF Chat Theory of Hypergeometric Functions 2011 Kazuhiko Aomoto
Michitake Kita
+ A determinant formula for a holonomic q-difference system associated with Jackson integrals of type <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mi mathvariant="italic">BC</mml:mi><mml:mi>n</mml:mi></mml:msub></mml:math> 2009 Kazuhiko Aomoto
Masahiko Ito
+ PDF Chat Structure of Jackson Integrals of $BC_n$ Type 2008 Kazuhiko Aomoto
Masahiko Ito
+ <i>BC</i><sub><i>n</i></sub>-type Jackson integral generalized from Gustafson's<i>C</i><sub><i>n</i></sub>-type sum 2008 Kazuhiko Aomoto
Masahiko Ito
+ PDF Chat On the structure of Jackson integrals of $BC_n$ type and holonomic $q$-difference equations 2005 Kazuhiko Aomoto
Masahiko Ito
+ PDF Chat Gauss-Manin connections of Schläfli type for hypersphere arrangements 2003 Kazuhiko Aomoto
+ Wu's Equations and Quasi-Hypergeometric Functions 2001 Kazuhiko Aomoto
Kazumoto Iguchi
+ MONODROMY PROBLEM RELATED TO WU–SUTHERLAND EQUATIONS 2001 Kazuhiko Aomoto
+ INTEGRAL REPRESENTATIONS OF QUASI HYPERGEOMETRIC FUNCTIONS 2000 Kazuhiko Aomoto
+ INTEGRAL REPRESENTATION FOR THE GR AND PARTITION FUNCTION IN QUANTUM STATISTICAL MECHANICS OF EXCLUSION STATISTICS 2000 Kazumoto Iguchi
Kazuhiko Aomoto
+ PDF Chat None 2000 Kazuhiko Aomoto
Peter J. Forrester
+ PDF Chat Singularity and monodromy of quasi-hypergeometric functions 2000 Kazuhiko Aomoto
Kazumoto Iguchi
+ PDF Chat Integrable system of the heat kernel associated with logarithmic potentials 2000 Kazuhiko Aomoto
+ QUASI-MODULAR SYMMETRY AND QUASI-HYPERGEOMETRIC FUNCTIONS IN QUANTUM STATISTICAL MECHANICS OF FRACTIONAL EXCLUSION STATISTICS 1999 Kazumoto Iguchi
Kazuhiko Aomoto
+ Twistor integral representations of fundamental solutions of massless field equations 1999 Kazuhiko Aomoto
Yoshinori Machida
+ PDF Chat Errata to ``Configurations and Invariant Gauss-Manin Connections of Integrals I, II'' (Tokyo Journal of Mathematics, Vol. 5 (1982), pp. 249-287; Vol. 6 (1983), pp. 1-24) 1999 Kazuhiko Aomoto
+ PDF Chat On quasi-hypergeometric functions 1999 Kazuhiko Aomoto
Kazumoto Iguchi
+ None 1998 Kazuhiko Aomoto
+ Derivation of <i>q</i>-difference equation from connection matrix for selberg type jackson integrals 1998 Kazuhiko Aomoto
Yoshifumi Kato
+ Open Problems and Conjectures 1998 Kazuhiko Aomoto
+ Twisted de Rham Cohomology Groups of Logarithmic Forms 1997 Kazuhiko Aomoto
Michitake Kita
Peter Orlik
Hiroaki Terao
+ PDF Chat On a unitary version of Suzuki's exponential product formula 1996 Kazuhiko Aomoto
+ On a theta product formula for the symmetric A-type connection function 1995 Kazuhiko Aomoto
+ Gauss decomposition of connection matrices for symmetricA-type Jackson integrals 1995 Kazuhiko Aomoto
Yoshifumi Kato
+ Connection formulas in the q-analog de Rham cohomology 1995 Kazuhiko Aomoto
+ Connection formulas in the q-analog de Rham cohomology 1995 Kazuhiko Aomoto
+ Connection formula of symmetric A-type Jackson integrals 1994 Kazuhiko Aomoto
Yoshifumi Kato
+ On Connection Coefficients for<i>q</i>-Difference Systems of<i>A</i>-Type Jackson Integrals 1994 Kazuhiko Aomoto
+ Connection coefficients for 𝐴-type Jackson integral and Yang-Baxter equation 1994 Kazuhiko Aomoto
Yoshifumi Kato
+ PDF Chat Gauss decomposition of connection matrices and application to Yang-Baxter equation, I 1993 Kazuhiko Aomoto
Yoshifumi Kato
+ PDF Chat Gauss decomposition of connection matrices and application to Yang-Baxter equation, II 1993 Kazuhiko Aomoto
Yoshifumi Kato
+ None 1992 Kazuhiko Aomoto
Yoshifumi Kato
Katsuhisa Mimachi
+ PDF Chat Hyperlogarithmic expansion and the volume of a hyperbolic simplex 1992 Kazuhiko Aomoto
+ PDF Chat Point spectrum on a quasihomogeneous tree 1991 Kazuhiko Aomoto
+ PDF Chat Finiteness of a cohomology associated with certain Jackson integrals 1991 Kazuhiko Aomoto
+ A q-analogue of de Rham cohomology 1991 Kazuhiko Aomoto
Yoshifumi Kato
+ Asymptotics of Jackson integrals and torus embeddings(Combinatorial Theory and Related Topics) 1990 Kazuhiko Aomoto
+ PDF Chat $q$-analogue of de Rham cohomology associated with Jackson integrals, II 1990 Kazuhiko Aomoto
+ PDF Chat $q$-analogue of de Rham cohomology associated with Jackson integrals, I 1990 Kazuhiko Aomoto
+ Self-adjointness and limit pointness for adjacency operators on a tree 1989 Kazuhiko Aomoto
+ PDF Chat Algebraic equations for Green kernel on a tree 1988 Kazuhiko Aomoto
+ PDF Chat Green functions and spectra on free products of cyclic groups 1988 Kazuhiko Aomoto
Yoshinobu Kato
+ PDF Chat Scaling Limit Formula for 2-Point Correlation Function of Random Matrices 1988 Kazuhiko Aomoto
+ A Note on Holonomic q- Difference Systems 1988 Kazuhiko Aomoto
+ On some properties of the Gauss ensemble of random matrices: Integrable system 1987 Kazuhiko Aomoto
+ Special Value of the Hypergeometric Function 3 F 2 and Connection Formulae Among Asymptotic Expansions 1987 Kazuhiko Aomoto
+ PDF Chat Gauss-Manin connection of integral of difference products 1987 Kazuhiko Aomoto
+ Jacobi Polynomials Associated with Selberg Integrals 1987 Kazuhiko Aomoto
+ ON THE COMPLEX SELBERG INTEGRAL 1987 Kazuhiko Aomoto
+ Vanishing of Certain 1-form Attached to a Configuration 1986 Kazuhiko Aomoto
+ PDF Chat A formula of eigenfunction expansions II. Exterior Dirichlet problem in a lattice 1985 Kazuhiko Aomoto
+ PDF Chat A formula of eigen-function expansions I. Case of asymptotic trees 1985 Kazuhiko Aomoto
+ Spectral theory on a free group and algebraic curves 1984 Kazuhiko Aomoto
+ PDF Chat Addition theorem of Abel type for hyper-logarithms 1982 Kazuhiko Aomoto
+ PDF Chat Configurations and Invariant Gauss-Manin Connections of Integrals I 1982 Kazuhiko Aomoto
+ Formule variationelle d'Hadamard et modèle des variétés différentiables plongées 1979 Kazuhiko Aomoto
+ PDF Chat A generalization of Poincaré normal functions on a polarized manifold 1979 Kazuhiko Aomoto
+ Fonctions hyperlogarithmiques et groupes de monodromie unipotents 1978 Kazuhiko Aomoto
+ PDF Chat Analytic structure of Schläfli function 1977 Kazuhiko Aomoto
+ On the Structure of Integrals of Power Product of Linear Functions 1977 Kazuhiko Aomoto
+ Les equations aux differences lineaires et les integrales des fonctions multiformes 1975 Kazuhiko Aomoto
+ PDF Chat On vanishing of cohomology attached to certain many valued meromorphic functions 1975 Kazuhiko Aomoto
+ PDF Chat Equations aux différences linéaires et les intégrales des fonctions multiformes, II. Evanouissement des hypercohomologies et exemples 1974 Kazuhiko Aomoto
+ Equations aux différences linéaires et les intégrales des fonctions multiformes, I.Théorème d'existence 1974 Kazuhiko Aomoto
+ Un Theoreme de Type de Matsushima-Murakami Concernant l'integral des Fonctions Multiformes (超函数と解析汎函数の理論と応用) 1972 Kazuhiko Aomoto
+ PDF Chat Sur la forme de connexion du type régulier dans un espace projectif complexe 1970 Kazuhiko Aomoto
+ L'analyse harmonique sur les espaces riemanniens, a courbure riemannienne negative I 1966 Kazuhiko Aomoto
+ PDF Chat On some double coset decompositions of complex semi-simple Lie groups 1966 Kazuhiko Aomoto
+ On some double coset decompositions of complex semi-simple Lie groups 1966 Kazuhiko Aomoto
Common Coauthors
Coauthor Papers Together
Yoshinori Machida 8
Yoshifumi Kato 7
Masahiko Ito 6
Michitake Kita 5
Kazumoto Iguchi 5
Yu. V. Fedorov 2
Jiyro Komeda 2
Shigeki Matsutani 2
Эмма Превиато 2
Yoshinobu Kato 1
Peter J. Forrester 1
Peter Orlik 1
Katsuhisa Mimachi 1
Yoshifumi Kato 1
Hiroaki Terao 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Connection problem in holonomic<i>q</i>-difference system associated with a Jackson integral of Jordan-Pochhammer type 1989 Katsuhisa Mimachi
 9
+ Quantum algebra structure of certain Jackson integrals 1993 Atsushi Matsuo
 9
+ Connection formula of symmetric A-type Jackson integrals 1994 Kazuhiko Aomoto
Yoshifumi Kato
 8
+ PDF Chat Finiteness of a cohomology associated with certain Jackson integrals 1991 Kazuhiko Aomoto
 8
+ Some Basic Hypergeometric Extensions of Integrals of Selberg and Andrews 1980 Richard Askey
 7
+ Multidimensional <i>q</i>-Beta Integrals 1992 Ronald J. Evans
 7
+ PDF Chat On vanishing of cohomology attached to certain many valued meromorphic functions 1975 Kazuhiko Aomoto
 7
+ PDF Chat Theory of Hypergeometric Functions 2011 Kazuhiko Aomoto
Michitake Kita
 7
+ Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations forq-hypergeometric functions 1994 Alexander Varchenko
 7
+ PDF Chat $q$-analogue of de Rham cohomology associated with Jackson integrals, II 1990 Kazuhiko Aomoto
 6
+ On the Structure of Integrals of Power Product of Linear Functions 1977 Kazuhiko Aomoto
 6
+ PDF Chat Equations Différentielles à Points Singuliers Réguliers 1970 Pierre Deligne
 6
+ PDF Chat Analytic structure of Schläfli function 1977 Kazuhiko Aomoto
 6
+ 𝑞-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra 1986 George E. Andrews
 5
+ PDF Chat Equations aux différences linéaires et les intégrales des fonctions multiformes, II. Evanouissement des hypercohomologies et exemples 1974 Kazuhiko Aomoto
 5
+ PDF Chat Commutative algebras for arrangements 1994 Peter Orlik
Hiroaki Terao
 5
+ Jackson-type integrals, bethe vectors, and solutions to a difference analog of the Knizhnik-Zamolodchikov system 1992 Nicolai Reshetikhin
 5
+ PDF Chat Quantum affine algebras and holonomic difference equations 1992 Igor Frenkel
Nicolai Reshetikhin
 5
+ PDF Chat Configurations and Invariant Gauss-Manin Connections of Integrals I 1982 Kazuhiko Aomoto
 5
+ PDF Chat On Certain Multiple Bailey, Rogers and Dougall Type Summation Formulas 1997 J. F. van Diejen
 5
+ PDF Chat Jackson integrals of Jordan-Pochhammer type and quantum Knizhnik-Zamolodchikov equations 1993 Atsushi Matsuo
 5
+ On Connection Coefficients for<i>q</i>-Difference Systems of<i>A</i>-Type Jackson Integrals 1994 Kazuhiko Aomoto
 5
+ PDF Chat $q$-analogue of de Rham cohomology associated with Jackson integrals, I 1990 Kazuhiko Aomoto
 5
+ Principles of Algebraic Geometry 1978 Phillip Griffiths
Joseph Harris
 5
+ A Note on Holonomic q- Difference Systems 1988 Kazuhiko Aomoto
 5
+ Askey–Wilson type integrals associated with root systems 2006 Masahiko Ito
 5
+ Twisted de Rham Cohomology Groups of Logarithmic Forms 1997 Kazuhiko Aomoto
Michitake Kita
Peter Orlik
Hiroaki Terao
 4
+ Basic Hypergeometric Series 2004 George Gasper
Mizan Rahman
 4
+ PDF Chat None 2003 Masahiko Ito
 4
+ A Proof of Askey’s Conjectured <i>q</i>-Analogue of Selberg’s Integral and a Conjecture of Morris 1988 Kevin W. J. Kadell
 4
+ PDF Chat Gauss decomposition of connection matrices and application to Yang-Baxter equation, I 1993 Kazuhiko Aomoto
Yoshifumi Kato
 4
+ None 1992 Kazuhiko Aomoto
Yoshifumi Kato
Katsuhisa Mimachi
 4
+ Quantum Knizhnik-Zamolodchikov equations and holomorphic vector bundles 1993 Pavel Etingof
 4
+ Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems 2003 Masahiko Ito
 4
+ On a theta product formula for the symmetric A-type connection function 1995 Kazuhiko Aomoto
 4
+ PDF Chat A method of integration over matrix variables 1981 M. L. Mehta
 4
+ Generalized Hypergeometric Functions 1966 Y. L. L.
L. J. Slater
 4
+ Arrangements of Hyperplanes 1992 Peter Orlik
Hiroaki Terao
 4
+ PDF Chat Another Proof of Gustafson’s $C_n$-type Summation Formula via ‘Elementary’ Symmetric Polynomials 2006 Masahiko Ito
 4
+ q-difference shift for a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi mathvariant="italic">BC</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:math>-type Jackson integral arising from ‘elementary’ symmetric polynomials 2005 Masahiko Ito
 4
+ Vanishing of Certain 1-form Attached to a Configuration 1986 Kazuhiko Aomoto
 4
+ <i>Generalized Hypergeometric Functions</i> 1967 L. J. Slater
Werner C. Rheinboldt
 4
+ Spectral theory on a free group and algebraic curves 1984 Kazuhiko Aomoto
 4
+ PDF Chat Some $q$-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras 1994 Robert A. Gustafson
 4
+ PDF Chat On the structure of cohomology groups attached to the integral of certain many-valued analytic functions 1983 Michitake Kita
Masatoshi Noumi
 4
+ PDF Chat A formula of eigen-function expansions I. Case of asymptotic trees 1985 Kazuhiko Aomoto
 3
+ A proof of the 𝑞-Macdonald-Morris conjecture for 𝐵𝐶_{𝑛} 1994 Kevin W. J. Kadell
 3
+ Abelsche Funktionen und Algebraische Geometrie 1956 Fabio Conforto
 3
+ Equation of State and Virial Coefficients of An Ideal Gas with Fractional Exclusion Statistics in Arbitrary Dimensions 1997 Kazumoto Iguchi
 3
+ Some Conjectures for Root Systems 1982 I. G. Macdonald
 3