研究成果 1978 2019

2006
18 引用 (Scopus)

Entanglement, haag-duality and type properties of infinite quantum spin chains

Keyl, M., Matsui, T., Schlingemann, D. & Werner, R. F., 10 1 2006, : : Reviews in Mathematical Physics. 18, 9, p. 935-970 36 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin Chain
Entanglement
Duality
Hilbert space
Density Operator

Hypergeometric generating function of l-function, slater’s identities, and quantum invariant

Hikami, K. & Kirillov, A. N., 1 1 2006, : : St. Petersburg Mathematical Journal. 17, 1, p. 143-156 14 p.

研究成果: ジャーナルへの寄稿記事

Quantum Invariants
Hypergeometric Functions
Generating Function
Torus knot
Q-series
10 引用 (Scopus)

Infinite-dimensional Evans function theory for elliptic eigenvalue problems in a channel

Deng, J. & Nii, S., 6 1 2006, : : Journal of Differential Equations. 225, 1, p. 57-89 33 p.

研究成果: ジャーナルへの寄稿記事

Evans Function
Solitons
Elliptic Problems
Eigenvalue Problem
Solitary Waves

On a certain 8-dimensional non-symmetric homogeneous convex cone

Nomura, T., 2006, Quantization and Analysis on Symmetric Spaces. p. 70-73

研究成果: 著書/レポートタイプへの貢献会議での発言

12 引用 (Scopus)

On modular forms of weight (6n + l)/5 satisfying a certain differential equation

Kaneko, M., 12 1 2006, NUMBER THEORY. ZHANG, WENPENG. & TANIGAWA, YOSHIO. (版). p. 97-102 6 p. (Developments in Mathematics; 巻数 15).

研究成果: 著書/レポートタイプへの貢献

Modular Forms
Elliptic Curves
Differential equation
Integer

On some properties of polynomials related to hypergeometric modular forms

Kaneko, M. & Niiho, N., 12 1 2006, : : Ramanujan Journal. 12, 3, p. 321-325 5 p.

研究成果: ジャーナルへの寄稿記事

Hypergeometric Polynomials
Irreducibility
Modular Forms
Galois group
Discriminant
12 引用 (Scopus)

On the quantum invariants for the spherical Seifert manifolds

Hikami, K., 12 1 2006, : : Communications in Mathematical Physics. 268, 2, p. 285-319 35 p.

研究成果: ジャーナルへの寄稿記事

Seifert Manifold
Quantum Invariants
Modular Forms
Invariant
Invariant Polynomials
13 引用 (Scopus)

Q-Series and L-functions related to half-derivatives of the Andrews-Gordon identity

Hikami, K., 4 1 2006, : : Ramanujan Journal. 11, 2, p. 175-197 23 p.

研究成果: ジャーナルへの寄稿記事

Q-series
L-function
Generating Function
Quantum Invariants
Torus knot
6 引用 (Scopus)

Quantum invariants, modular forms, and lattice points II

Hikami, K., 11 8 2006, : : Journal of Mathematical Physics. 47, 10, 102301.

研究成果: ジャーナルへの寄稿記事

Quantum Invariants
Modular Lattice
Lattice Points
Modular Forms
Invariant
15 引用 (Scopus)

Smoothness of solenoidal attractors

Avila, A., Gouëzel, S. & Masato, T., 1 1 2006, : : Discrete and Continuous Dynamical Systems. 15, 1, p. 21-35 15 p.

研究成果: ジャーナルへの寄稿記事

Sobolev spaces
Skew Product
Real Line
Sobolev Spaces
Byproducts

Spherical Fourier transforms of the Berezin kernels on symmetric Siegel domains

Nomura, T. & Ishi, H., 2006, : : RIMS Kokyuroku. 1487, p. 69-78

研究成果: ジャーナルへの寄稿記事

17 引用 (Scopus)

Transformation formula of the "second" order mock theta function

Hikami, K., 1 1 2006, : : Letters in Mathematical Physics. 75, 1, p. 93-98 6 p.

研究成果: ジャーナルへの寄稿記事

Seifert Manifold
Mock theta Functions
Quantum Invariants
Transformation Formula
10 引用 (Scopus)

Zeta functions and dynamical systems

Liverani, C. & Tsujii, M., 10 1 2006, : : Nonlinearity. 19, 10, p. 2467-2473 7 p., 011.

研究成果: ジャーナルへの寄稿記事

hyperbolic systems
determinants
Riemann zeta function
dynamical systems
Dynamical systems
2005
4 引用 (Scopus)

A characterization of symmetric cones through pseudoinverse maps

Kai, C. & Nomura, T., 1 1 2005, : : Journal of the Mathematical Society of Japan. 57, 1, p. 195-215 21 p.

研究成果: ジャーナルへの寄稿記事

Symmetric Cone
Pseudo-inverse
Tube
Convex Cone
3 引用 (Scopus)

A characterization of symmetric tube domains by convexity of Cayley transform images

Kai, C. & Nomura, T., 7 1 2005, : : Differential Geometry and its Application. 23, 1, p. 38-54 17 p.

研究成果: ジャーナルへの寄稿記事

Cayley Transform
Algebra
Convexity
Tube
Jordan Algebra
18 引用 (Scopus)

Ground state for point particles interacting through a massless scalar Bose field

Hirokawa, M., Hiroshima, F. & Spohn, H., 3 1 2005, : : Advances in Mathematics. 191, 2, p. 339-392 54 p.

研究成果: ジャーナルへの寄稿記事

Ground State
Scalar
Ultraviolet
Infrared
Charge
8 引用 (Scopus)

Higher arithmetic K-theory

Takeda, Y., 9 2005, : : Publications of the Research Institute for Mathematical Sciences. 41, 3, p. 599-681 83 p.

研究成果: ジャーナルへの寄稿記事

K-theory
14 引用 (Scopus)

Integrable spin-boson interaction in the Tavis-Cummings model from a generic boundary twist

Amico, L. & Hikami, K., 2 1 2005, : : European Physical Journal B. 43, 3, p. 387-391 5 p.

研究成果: ジャーナルへの寄稿記事

Bosons
bosons
Boundary conditions
interactions
boundary conditions
11 引用 (Scopus)

Lusternik-Schnirelmann category of non-simply connected compact simple Lie groups

Iwase, N., Mimura, M. & Nishimoto, T., 5 14 2005, : : Topology and its Applications. 150, 1-3, p. 111-123 13 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Simple group
Analytic group
Compatibility Conditions
Fiber Bundle
26 引用 (Scopus)

Mock (false) theta functions as quantum invariants

Hikami, K., 12 1 2005, : : Regular and Chaotic Dynamics. 10, 4, p. 509-530 22 p.

研究成果: ジャーナルへの寄稿評論記事

Seifert Manifold
Mock theta Functions
Quantum Invariants
Theta Functions
Ramanujan
13 引用 (Scopus)

Multiplicity of ground states in quantum field models: Applications of asymptotic fields

Hiroshima, F., 7 15 2005, : : Journal of Functional Analysis. 224, 2, p. 431-470 40 p.

研究成果: ジャーナルへの寄稿記事

Quantum Fields
Ground State
Multiplicity
Essential Spectrum
Asymptotic Theory
2 引用 (Scopus)

Non-abelian zeta functions for function fields

Weng, L., 1 1 2005, : : American Journal of Mathematics. 127, 5, p. 973-1017 45 p.

研究成果: ジャーナルへの寄稿記事

Function Fields
Riemann zeta function
Galois field
Moduli Space
Curve
5 引用 (Scopus)

Nonequilibrium steady states with Bose-Einstein condensates

Tasaki, S. & Matsui, T., 1 1 2005, Stochastic Analysis: Classical and Quantum: Perspectives of White Noise Theory. World Scientific Publishing Co., p. 211-227 17 p.

研究成果: 著書/レポートタイプへの貢献

Nonequilibrium Steady State
Bose-Einstein Condensate
5 引用 (Scopus)

On the absence of non-periodic ground states for the antiferromagnetic XXZ model

Matsui, T., 2 1 2005, : : Communications in Mathematical Physics. 253, 3, p. 585-609 25 p.

研究成果: ジャーナルへの寄稿記事

Ising
Ground State
Anisotropy
anisotropy
ground state
2 引用 (Scopus)

On the local factor of the zeta function of quadratic orders

Kaneko, M., 2005, ZETA FUNCTIONS, TOPOLOGY AND QUANTUM PHYSICS. 巻 14. p. 75-80 6 p. (Developments in Mathematics; 巻数 14).

研究成果: 著書/レポートタイプへの貢献

Riemann hypothesis
Riemann zeta function
Euler
28 引用 (Scopus)

Physical measures for partially hyperbolic surface endomorphisms

Masato, T., 1 1 2005, : : Acta Mathematica. 194, 1, p. 37-132 96 p.

研究成果: ジャーナルへの寄稿記事

Physical measure
Hyperbolic Surface
Endomorphisms
8 引用 (Scopus)

Quantum invariant, modular form, and lattice points

Hikami, K., 1 18 2005, : : International Mathematics Research Notices. 3, p. 121-154 34 p.

研究成果: ジャーナルへの寄稿記事

Quantum Invariants
Modular Lattice
Lattice Points
Modular Forms
1 引用 (Scopus)

Splitting off rational parts in homotopy types

Iwase, N. & Oda, N., 8 1 2005, : : Topology and its Applications. 153, 1, p. 133-140 8 p.

研究成果: ジャーナルへの寄稿記事

Homotopy Type
Abelian group
Rational Homotopy
Finiteness Conditions
Infinite Groups

等質 Siegel 領域の対称性条件をめぐって

Nomura, T., 2005, : : 数学. 57, p. 350-368

研究成果: ジャーナルへの寄稿評論記事

2004
11 引用 (Scopus)

Behavior of the Bergman kernel at infinity

Chen, B. Y., Kamimoto, J. & Ohsawa, T., 12 1 2004, : : Mathematische Zeitschrift. 248, 4, p. 695-708 14 p.

研究成果: ジャーナルへの寄稿記事

Bergman Metric
Bergman Kernel
Convex polyhedron
Domain Model
Decay Rate
12 引用 (Scopus)

Blow-up profile of a solution for a nonlinear heat equation with small diffusion

Yagisita, H. & Kaneko, M., 1 1 2004, : : Journal of the Mathematical Society of Japan. 56, 4, p. 993-1005 13 p.

研究成果: ジャーナルへの寄稿記事

Blow-up Set
Nonlinear Heat Equation
Diffusion equation
Blow-up
Semilinear Equations
59 引用 (Scopus)

Boundary regularity for the Ricci equation, geometric convergence, and Gel'fand's inverse boundary problem

Anderson, M., Katsuda, A., Kurylev, Y., Lassas, M. & Taylor, M., 1 1 2004, : : Inventiones Mathematicae. 158, 2, p. 261-321 61 p.

研究成果: ジャーナルへの寄稿記事

Geometric Convergence
Boundary Regularity
Boundary Problem
Inverse Problem
Injectivity
2 引用 (Scopus)

Complexes of exact hermitian cubes and the Zagier conjecture

Takeda, Y., 1 1 2004, : : Mathematische Annalen. 328, 1-2, p. 87-119 33 p.

研究成果: ジャーナルへの寄稿記事

Regular hexahedron
Polylogarithms
Algebraic number Field
K-theory
Regulator
28 引用 (Scopus)

Difference equation of the colored Jones polynomial for torus knot

Hikami, K., 11 1 2004, : : International Journal of Mathematics. 15, 9, p. 959-965 7 p.

研究成果: ジャーナルへの寄稿記事

Colored Jones Polynomial
Torus knot
Difference equation
Second-order Difference Equations
A-polynomial
4 引用 (Scopus)

Generalized mahler measures and multiple sine functions

Gon, Y. & Oyanagi, H., 7 1 2004, : : International Journal of Mathematics. 15, 5, p. 425-442 18 p.

研究成果: ジャーナルへの寄稿記事

Multiple Sine Function
Mahler Measure
Dirichlet L-function
Logarithmic
Express

L 2-metrics, projective flatness and families of polarized abelian varieties

To, W. K. & Weng, L., 7 1 2004, : : Transactions of the American Mathematical Society. 356, 7, p. 2685-2707 23 p.

研究成果: ジャーナルへの寄稿記事

Abelian Variety
Flatness
Metric
Compact Manifold
Parameter Space
5 引用 (Scopus)
Bosons
Canonical Transformation
Infinitesimal Generator
Fock Space
generators
20 引用 (Scopus)

Milnor invariants and Massey products for prime numbers

Morishita, M., 1 1 2004, : : Compositio Mathematica. 140, 1, p. 69-83 15 p.

研究成果: ジャーナルへの寄稿記事

Prime number
Galois Cohomology
Cup Product
Invariant
Knot
10 引用 (Scopus)

Newton polyhedra and the Bergman kernel

Kamimoto, J., 3 1 2004, : : Mathematische Zeitschrift. 246, 3, p. 405-440 36 p.

研究成果: ジャーナルへの寄稿記事

Newton Polyhedron
Bergman Kernel
Singularity
Pseudoconvex Domain
Polar coordinates
32 引用 (Scopus)

On multiple L-values

Arakawa, T. & Kaneko, M., 1 1 2004, : : Journal of the Mathematical Society of Japan. 56, 4, p. 967-991 25 p.

研究成果: ジャーナルへの寄稿記事

L-function
4 引用 (Scopus)

On quasifree representations of infinite dimensional symplectic group

Matsui, T. & Shimada, Y., 10 1 2004, : : Journal of Functional Analysis. 215, 1, p. 67-102 36 p.

研究成果: ジャーナルへの寄稿記事

Symplectic Group
Weil Representation
Unitary Representation
Automorphisms
Covering
21 引用 (Scopus)

Quantum Invariant for Torus Link and Modular Forms

Hikami, K., 4 1 2004, : : Communications in Mathematical Physics. 246, 2, p. 403-426 24 p.

研究成果: ジャーナルへの寄稿記事

Quantum Invariants
Modular Forms
unity
Torus
expansion
15 引用 (Scopus)

Reshetikhin-Turaev invariants of Seifert 3-manifolds for classical simple lie algebras

Hansen, S. K. & Takata, T., 8 1 2004, : : Journal of Knot Theory and its Ramifications. 13, 5, p. 617-668 52 p.

研究成果: ジャーナルへの寄稿記事

Simple Lie Algebra
Invariant
Asymptotic Expansion
Seifert Manifold
Lens Space
2003
16 引用 (Scopus)

A note on the langlands classification and irreducibility of induced representations of p-ADIC groups

Konno, T., 1 1 2003, : : Kyushu Journal of Mathematics. 57, 2, p. 383-409 27 p.

研究成果: ジャーナルへの寄稿記事

Induced Representations
P-adic Groups
Irreducibility
Series Representation
Reductive Group
52 引用 (Scopus)

A variation of euler's approach to values of the riemann zeta function

Kaneko, M., Kurokawa, N. & Wakayama, M., 1 1 2003, : : Kyushu Journal of Mathematics. 57, 1, p. 175-192 18 p.

研究成果: ジャーナルへの寄稿記事

Riemann zeta function
Euler
56 引用 (Scopus)

Critical two-point functions and the lace expansion for spread-out high-dimensional percolation and related models

Hara, T., Van der Hofstad, R. & Slade, G., 1 1 2003, : : Annals of Probability. 31, 1, p. 349-408 60 p.

研究成果: ジャーナルへの寄稿記事

Lace Expansion
Self-avoiding Walk
Lattice Animals
High-dimensional
Critical Dimension
9 引用 (Scopus)

Family of Cayley transforms of a homogeneous Siegel domain parameterized by admissible linear forms

Nomura, T., 1 1 2003, : : Differential Geometry and its Application. 18, 1, p. 55-78 24 p.

研究成果: ジャーナルへの寄稿記事

Cayley Transform
Linear Forms
Vector spaces
Vector space
Bounded Domain

First variation of Selberg zeta functions and variational trace formulas

Gon, Y., 9 2003, : : Journal of the Ramanujan Mathematical Society. 18, 3, p. 257-280

研究成果: ジャーナルへの寄稿記事

63 引用 (Scopus)

Iwasawa theory for elliptic curves at supersingular primes

Kobayashi, S., 7 4 2003, : : Inventiones Mathematicae. 152, 1, p. 1-36 36 p.

研究成果: ジャーナルへの寄稿記事

Iwasawa Theory
Elliptic Curves
Selmer Group
P-adic L-function
Euler System
6 引用 (Scopus)

Localization of the number of photons of ground states in nonrelativistic QED

Hiroshima, F., 5 1 2003, : : Reviews in Mathematical Physics. 15, 3, p. 271-312 42 p.

研究成果: ジャーナルへの寄稿記事

radiation distribution
Ground State
Photon
Radiation
Electron