Kazuhiko Aomoto

Q: What Schools Are Affiliated With Kazuhiko Aomoto

Kazuhiko Aomoto is affiliated with the following schools: Nagoya University, Kyoto University

Kazuhiko Aomoto's AcademicInfluence.com Rankings

Kazuhiko Aomoto

Mathematics

#8117

World Rank

#11024

Historical Rank

Measure Theory

#3292

World Rank

#3891

Historical Rank

mathematics Degrees

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Mathematics

Kazuhiko Aomoto's Degrees

PhD Mathematics Kyoto University

Why Is Kazuhiko Aomoto Influential?

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According to Wikipedia, Kazuhiko Aomoto is a Japanese mathematician who introduced the Aomoto-Gel'fand hypergeometric function and the Aomoto integral. He was a professor at Nagoya University. In 1996 he received the Mathematical Society of Japan autumn prize for his research on complex integration.

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Kazuhiko Aomoto's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Theory of Hypergeometric Functions (2011) (172)
Jacobi polynomials associated with Selberg integrals (1987) (164)
On the Structure of Integrals of Power Product of Linear Functions (1977) (97)
On vanishing of cohomology attached to certain many valued meromorphic functions (1975) (67)
Gauss-Manin connection of integral of difference products (1987) (65)
ON THE COMPLEX SELBERG INTEGRAL (1987) (52)
Analytic structure of Schläfli function (1977) (45)
On Elliptic Product Formulas for Jackson Integrals Associated with Reduced Root Systems (1998) (42)
Spectral theory on a free group and algebraic curves (1984) (39)
Special values of hyperlogarithms and linear difference schemes (1990) (36)
$q$-analogue of de Rham cohomology associated with Jackson integrals, II (1990) (35)
Twisted de Rham Cohomology Groups of Logarithmic Forms (1997) (30)
Finiteness of a cohomology associated with certain Jackson integrals (1991) (28)
A Note on Holonomic q- Difference Systems (1988) (24)
Addition theorem of Abel type for hyper-logarithms (1982) (22)
A solution of the Yang-Baxter equation as connection coefficients of a holonomic q -difference system (1992) (20)
Configurations and Invariant Gauss-Manin Connections for Integrals II (1982) (19)
On quasi-hypergeometric functions (1999) (16)
Connection formulas in the q-analog de Rham cohomology (1995) (16)
Connection formula of symmetric $A$-type Jackson integrals (1994) (15)
A q-analogue of de Rham cohomology (1991) (15)
Green functions and spectra on free products of cyclic groups (1988) (14)
Point spectrum on a quasihomogeneous tree (1991) (14)
On connection coefficients for q -difference systems of A -type Jackson integrals (1994) (13)
Gauss decomposition of connection matrices for symmetricA-type Jackson integrals (1995) (13)
On some double coset decompositions of complex semi-simple Lie groups (1966) (13)
A determinant formula for a holonomic q-difference system associated with Jackson integrals of type BCn (2009) (12)
On a unitary version of Suzuki's exponential product formula (1996) (11)
On a theta product formula for the symmetric A-type connection function (1995) (11)
Gauss decomposition of connection matrices and application to Yang-Baxter equation, II (1993) (11)
Self-adjointness and limit pointness for adjacency operators on a tree (1989) (10)
Algebraic equations for Green kernel on a tree (1988) (9)
BC n -type Jackson integral generalized from Gustafson's C n -type sum (2008) (8)
Wu's Equations and Quasi-Hypergeometric Functions (2001) (8)
On a Jacobian Identity Associated with Real Hyperplane Arrangements (2000) (7)
A generalization of Poincaré normal functions on a polarized manifold (1979) (7)
On the structure of Jackson integrals of BCn type and holonomic q-difference equations (2005) (7)
Hypergeometric integrals associated with hypersphere arrangements and Cayley-Menger determinants (2017) (6)
Structure of Jackson Integrals of $BC_n$ Type (2008) (6)
Some problems of hypergeometric integrals associated with hypersphere arrangement (2015) (6)
Configurations and Invariant Theory of Gauβ-Manin Systems (1984) (6)
Conﬁgurations and Invariant Gauss-Manin Connections of Integrals I (2009) (6)
Conﬁgurations and Invariant Gauss-Manin Connections of Integrals I (2009) (6)
Gauss-Manin connections of Schlafli type for hypersphere arrangements (2003) (6)
Jacobi-Perron Algorithms, Bi-Orthogonal Polynomials and Inverse Scattering Problems (1984) (5)
Hypersphere arrangement and imaginary cycles for hypergeometric integrals (2012) (5)
INTEGRAL REPRESENTATIONS OF QUASI HYPERGEOMETRIC FUNCTIONS (2000) (4)
Hyperlogarithmic expansion and the volume of a hyperbolic simplex (1992) (4)
A formula of eigen-function expansions I. Case of asymptotic trees (1985) (4)
QUASI-MODULAR SYMMETRY AND QUASI-HYPERGEOMETRIC FUNCTIONS IN QUANTUM STATISTICAL MECHANICS OF FRACTIONAL EXCLUSION STATISTICS (1999) (4)
INTEGRAL REPRESENTATION FOR THE GRAND PARTITION FUNCTION IN QUANTUM STATISTICAL MECHANICS OF EXCLUSION STATISTICS (2000) (4)
Double filtration of twisted logarithmic complex and Gauss–Manin connection (2015) (4)
Special Value of the Hypergeometric Function 3 F 2 and Connection Formulae Among Asymptotic Expansions (1987) (4)
Vanishing of Certain 1-form Attached to a Configuration (1986) (3)
Scaling Limit Formula for 2-Point Correlation Function of Random Matrices (1988) (3)
The sigma function over a family of cyclic trigonal curves with a singular fiber (2019) (3)
On the acyclicity of free cobar constructions, II (1977) (2)
On some properties of the Gauss ensemble of random matrices: Integrable system (1987) (2)
Derivation of q-difference equation from connection matrix for selberg type jackson integrals (1998) (2)
A formula of eigenfunction expansions II. Exterior Dirichlet problem in a lattice (1985) (2)
The sigma function over a family of curves with a singular fiber (2022) (1)
Connection Matrices and Riemann-Hilbert Problem for Q-Difference Equations (2017) (1)
Generalization of Schläfli formula to the volume of a spherically faced simplex (2017) (1)
Twistor integral representations of fundamental solutions of massless field equations (1999) (1)
Singularity and Monodromy of Quasi-Hypergeometric Functions (2012) (1)
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) (1)
Introduction: the Euler−Gauss Hypergeometric Function (2011) (1)
NMJ volume 120 Cover and Front matter (1990) (0)
NMJ volume 75 Cover and Front matter (1979) (0)
NMJ volume 146 Cover and Front matter (1997) (0)
NMJ volume 112 Cover and Front matter (1988) (0)
NMJ volume 104 Cover and Front matter (1986) (0)
NMJ volume 81 Cover and Front matter (1981) (0)
NMJ volume 122 Cover and Front matter (1991) (0)
NMJ volume 111 Cover and Front matter (1988) (0)
NMJ volume 107 Cover and Front matter (1987) (0)
Representation of Complex Integrals and Twisted de Rham Cohomologies (2011) (0)
NMJ volume 134 Cover and Front matter (1994) (0)
NMJ volume 140 Cover and Front matter (1995) (0)
NMJ volume 130 Cover and Front matter (1993) (0)
NMJ volume 139 Cover and Front matter (1995) (0)
NMJ volume 125 Cover and Front matter (1992) (0)
Integrable system of the heat kernel associated with logarithmic potentials (2000) (0)
NMJ volume 96 Cover and Front matter (1984) (0)
NMJ volume 142 Cover and Front matter (1996) (0)
Integral representations and holonomic q-difference structure of Askey–Wilson type functions (2013) (0)
NMJ volume 95 Cover and Front matter (1984) (0)
NMJ volume 82 Cover and Front matter (1981) (0)
NMJ volume 94 Cover and Front matter (1984) (0)
Asymptotics of Jackson integrals and torus embeddings(Combinatorial Theory and Related Topics) (1990) (0)
NMJ volume 93 Cover and Front matter (1984) (0)
NMJ volume 135 Cover and Front matter (1994) (0)
NMJ volume 110 Cover and Front matter (1988) (0)
NMJ volume 92 Cover and Front matter (1983) (0)
NMJ volume 137 Cover and Front matter (1995) (0)
ADDITION THEOREM OF ABEL TYPE FOR HYPER-LOGARΠΉMS (2004) (0)
ADDITION THEOREM OF ABEL TYPE FOR HYPER-LOGARΠΉMS (2004) (0)
NMJ volume 143 Cover and Front matter (1996) (0)
Integral representations and holonomic q-difference structure of Askey–Wilson type functions (2013) (0)
NMJ volume 102 Cover and Front matter (1986) (0)
Product of Hessians and Discriminant of Critical Points of Level Function Attached to Sphere Arrangement (2022) (0)
NMJ volume 89 Cover and Front matter (1983) (0)
NMJ volume 77 Cover and Front matter (1980) (0)
Open Problems and Conjectures: Analytic Difference Equations and Connection Problems (1998) (0)
NMJ volume 79 Cover and Front matter (1980) (0)
NMJ volume 84 Cover and Front matter (1981) (0)
NMJ volume 90 Cover and Front matter (1983) (0)
NMJ volume 88 Cover and Front matter (1982) (0)
NMJ volume 141 Cover and Front matter (1996) (0)
NMJ volume 126 Cover and Front matter (1992) (0)
NMJ volume 74 Cover and Front matter (1979) (0)
NMJ volume 144 Cover and Front matter (1996) (0)
Holonomic Difference Equations and Asymptotic Expansion (2011) (0)
NMJ volume 97 Cover and Front matter (1985) (0)
NMJ volume 71 Cover and Front matter (1978) (0)
NMJ volume 106 Cover and Front matter (1987) (0)
NMJ volume 128 Cover and Front matter (1992) (0)
Product of Hessians and Discriminant of Critical Points of Level Function for Hypergeometric Integrals (2022) (0)
NMJ volume 76 Cover and Front matter (1979) (0)
NMJ volume 133 Cover and Front matter (1994) (0)
Arrangement of Hyperplanes and Hypergeometric Functions over Grassmannians (2011) (0)
NMJ volume 113 Cover and Front matter (1989) (0)
NMJ volume 149 Cover and Front matter (1998) (0)
NMJ volume 116 Cover and Front matter (1989) (0)
NMJ volume 83 Cover and Back matter (1981) (0)
NMJ volume 86 Cover and Front matter (1982) (0)
NMJ volume 121 Cover and Front matter (1991) (0)
NMJ volume 80 Cover and Front matter (1980) (0)
NMJ volume 101 Cover and Front Matter (1986) (0)
Some problems on hypergeometric integrals associated with hypersphere arrangements , ( in memory of Tetsusuke Ohkawa ) (2015) (0)
NMJ volume 73 Cover and Front matter (1979) (0)
NMJ volume 118 Cover and Front matter (1990) (0)
NMJ volume 119 Cover and Front matter (1990) (0)
NMJ volume 103 Cover and Front matter (1986) (0)
NMJ volume 98 Cover and Front matter (1985) (0)
NMJ volume 117 Cover and Front matter (1990) (0)
Monodromy Problem Related to Wu-Sutherland Equations (2001) (0)
NMJ volume 99 Cover and Front matter (1985) (0)
NMJ volume 147 Cover and Front matter (1997) (0)
NMJ volume 105 Cover and Front matter (1987) (0)
NMJ volume 109 Cover and Front matter (1988) (0)
NMJ volume 108 Cover and Front matter (1987) (0)
NMJ volume 132 Cover and Front matter (1993) (0)
NMJ volume 115 Cover and Front matter (1989) (0)
NMJ volume 136 Cover and Front matter (1994) (0)
NMJ volume 91 Cover and Front matter (1983) (0)
NMJ volume 78 Cover and Front matter (1980) (0)
NMJ volume 127 Cover and Front matter (1992) (0)
NMJ volume 87 Cover and Front matter (1982) (0)
NMJ volume 100 Cover and Front matter (1985) (0)
NMJ volume 145 Cover and Front matter (1997) (0)
NMJ volume 131 Cover and Front matter (1993) (0)
NMJ volume 123 Cover and Front matter (1991) (0)
NMJ volume 124 Cover and Front matter (1991) (0)
Density matrices and $LR$ transforms : Genesis of Orthogonal Functions (Infinite Dimensional Analysis and Quantum Probability Theory) (2001) (0)
NMJ volume 114 Cover and Front matter (1989) (0)

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What Schools Are Affiliated With Kazuhiko Aomoto?

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Kazuhiko Aomoto's Academic­Influence.com Rankings