研究成果 1978 2019

フィルター
記事
2007
2 引用 (Scopus)

Regularities of ground states of quantum field models

Arai, A., Hirokawa, M. & Hiroshima, F., 1 1 2007, : : Kyushu Journal of Mathematics. 61, 2, p. 321-372 52 p.

研究成果: ジャーナルへの寄稿記事

Quantum Fields
Ground State
Regularity
Annihilation
Vanish
2 引用 (Scopus)

Volume of truncated fundamental domains

Kim, H. H. & Weng, L., 6 1 2007, : : Proceedings of the American Mathematical Society. 135, 6, p. 1681-1688 8 p.

研究成果: ジャーナルへの寄稿記事

Fundamental Domain
2006
7 引用 (Scopus)

BEC of free bosons on networks

Matsui, T., 3 1 2006, : : Infinite Dimensional Analysis, Quantum Probability and Related Topics. 9, 1, p. 1-26 26 p.

研究成果: ジャーナルへの寄稿記事

Bose-Einstein condensation
Bose-Einstein Condensation
Bosons
bosons
condensation
132 引用 (Scopus)

Derivation and double shuffle relations for multiple zeta values

Ihara, K., Kaneko, M. & Zagier, D., 12 21 2006, : : Compositio Mathematica. 142, 2, p. 307-338 32 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Shuffle
Algebraic Structure

Derivation and double shuffle relations for multiple zeta values

Ihara, K., Kaneko, M. & Zagier, D., 2006, : : Compositio Mathematica. 142-02, p. 307-338 12 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Shuffle
Algebraic Structure
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 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
3 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

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

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
8 引用 (Scopus)

Higher arithmetic K-theory

Takeda, Y., 1 1 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
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
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)

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
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
2004
11 引用 (Scopus)

Behavior of the Bergman kernel at infinity

Chen, B. Y., Kamimoto, J. & Ohsawa, T., 12 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
11 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
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
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
19 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
3 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
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
55 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

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

62 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
4 引用 (Scopus)

Lusternik-Schnirelmann category of a sphere-bundle over a sphere

Iwase, N., 5 1 2003, : : Topology. 42, 3, p. 701-713 13 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Bundle
Necessary Conditions
Sufficient Conditions
Submanifolds
2 引用 (Scopus)

Metric tensor estimates, geometric convergence, and inverse boundary problems

Anderson, M., Katsuda, A., Kurylev, Y., Lassas, M. & Taylor, M., 9 2 2003, : : Electronic Research Announcements of the American Mathematical Society. 9, 9, p. 69-79 11 p.

研究成果: ジャーナルへの寄稿記事

Geometric Convergence
Boundary Problem
Inverse Problem
Tensor
Injectivity
4 引用 (Scopus)

On coefficients of Yablonskii-Vorob'ev polynomials

Kaneko, M. & Ochiai, H., 1 1 2003, : : Journal of the Mathematical Society of Japan. 55, 4, p. 985-993 9 p.

研究成果: ジャーナルへの寄稿記事

Polynomial
Coefficient
Prime number
Modulo
30 引用 (Scopus)

On Modular Forms Arising from a Differential Equation of Hypergeometric Type

Kaneko, M. & Koike, M., 3 2003, : : Ramanujan Journal. 7, 1-3, p. 145-164 20 p.

研究成果: ジャーナルへの寄稿記事

Modular Forms
Fourier coefficients
Half-plane
Second order differential equation
Positivity
15 引用 (Scopus)

On the algebra of fluctuation in quantum spin chains

Matsui, T., 5 6 2003, : : Annales Henri Poincare. 4, 1, p. 63-83 21 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin Chain
Central limit theorem
algebra
theorems
Fluctuations
5 引用 (Scopus)

On the cellular decomposition and the Lusternik-Schnirelmann category of Spin(7)

Iwase, N., Mimura, M. & Nishimoto, T., 9 1 2003, : : Topology and its Applications. 133, 1, p. 1-14 14 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Decompose
Analytic group

Quasimodular forms as solutions to a differential equation of hypergeometric type

Kaneko, M. & Koike, M., 2003, : : Galois Theory and Modular Forms. p. 329-336 8 p.

研究成果: ジャーナルへの寄稿記事

4 引用 (Scopus)

The kappa function

Kaneko, M. & Yoshida, M., 11 1 2003, : : International Journal of Mathematics. 14, 9, p. 1003-1013 11 p.

研究成果: ジャーナルへの寄稿記事

Modular Functions
Fourier Expansion
Elliptic function
19 引用 (Scopus)

Torus knot and minimal model

Hikami, K. & Kirillov, A. N., 11 27 2003, : : Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 575, 3-4, p. 343-348 6 p.

研究成果: ジャーナルへの寄稿記事

integers
unity
polynomials
6 引用 (Scopus)

Variational principle for non-equilibrium steady states of the XX model

Matsui, T. & Ogata, Y., 10 1 2003, : : Reviews in Mathematical Physics. 15, 8, p. 905-923 19 p.

研究成果: ジャーナルへの寄稿記事

C*-dynamical System
KMS States
Nonequilibrium Steady State
Long-range Interactions
variational principles
5 引用 (Scopus)

Vicious walkers and hook Young tableaux

Hikami, K. & Imamura, T., 3 28 2003, : : Journal of Physics A: Mathematical and General. 36, 12 SPEC. ISS., p. 3033-3048 16 p.

研究成果: ジャーナルへの寄稿記事

Tracy-Widom Distribution
Saddle Point Method
Young Tableaux
Young Diagram
hooks
2002
17 引用 (Scopus)

A-method in Lusternik-Schnirelmann category

Iwase, N., 4 3 2002, : : Topology. 41, 4, p. 695-723 29 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Hopf Invariant
Homotopy
Closed
Associativity
13 引用 (Scopus)

Bosonic central limit theorem for the one-dimensional XY model

Matsui, T., 7 2002, : : Reviews in Mathematical Physics. 14, 7-8, p. 675-700 26 p.

研究成果: ジャーナルへの寄稿記事

Gibbs States
XY Model
One-dimensional Model
Central limit theorem
integers

Hypergeometric modular forms and supersingular elliptic curves

Kaneko, M. & Todaka, N., 2002, : : CRM Proceedings and Lecture Notes. 30, p. 79-83 5 p.

研究成果: ジャーナルへの寄稿記事

Modular Forms
Elliptic Curves
23 引用 (Scopus)

On certain analogies between knots and primes

Morishita, M., 12 1 2002, : : Journal fur die Reine und Angewandte Mathematik. 550, p. 141-167 27 p.

研究成果: ジャーナルへの寄稿記事

Knot
Analogy
Ramification
Galois group
Number field
45 引用 (Scopus)

Self-adjointness of the Pauli-Fierz Hamiltonian for arbitrary values of coupling constants

Hiroshima, F., 12 3 2002, : : Annales Henri Poincare. 3, 1, p. 171-201 31 p.

研究成果: ジャーナルへの寄稿記事

Self-adjointness
radiation distribution
Radiation
Electron
Essential Self-adjointness