研究成果 1978 2019

フィルター
記事
2006

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
11 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
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
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
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
12 引用 (Scopus)

Mass renormalization in nonrelativistic quantum electrodynamics

Hiroshima, F. & Spohn, H., 4 1 2005, : : Journal of Mathematical Physics. 46, 4, 042302.

研究成果: ジャーナルへの寄稿記事

Electrodynamics
quantum electrodynamics
Renormalization
Electron
Fine Structure
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
4 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
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
9 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
14 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
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
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
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
29 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
14 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
4 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
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
17 引用 (Scopus)

Volume conjecture and asymptotic expansion of q-series

Hikami, K., 1 1 2003, : : Experimental Mathematics. 12, 3, p. 319-337 19 p.

研究成果: ジャーナルへの寄稿記事

Q-series
Asymptotic Expansion
Knot
Invariant
Borromean rings
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

THE RESOLVENT TRACE FORMULA FOR RANK ONE LIE GROUPS (Automorphic Forms and their Dirichlet series)

Gon, Y. & Tsuzuki, M., 8 2002, : : RIMS Kokyuroku. 1281, p. 77-89 13 p.

研究成果: ジャーナルへの寄稿記事

7 引用 (Scopus)

Twisted endoscopy and the generic packet conjecture

Konno, T., 1 1 2002, : : Israel Journal of Mathematics. 129, p. 253-289 37 p.

研究成果: ジャーナルへの寄稿記事

Endoscopy
Classical Groups
Analogue
Imply
4 引用 (Scopus)

When is a polygonal pyramid number again polygonal?

Kaneko, M. & Tachibana, K., 1 1 2002, : : Rocky Mountain Journal of Mathematics. 32, 1, p. 149-165 17 p.

研究成果: ジャーナルへの寄稿記事

Polygonal number
Pyramid
Square-based pyramid
Parametric Solutions
Elliptic Surfaces
2001
5 引用 (Scopus)

Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

Nomura, T., 7 1 2001, : : Differential Geometry and its Application. 15, 1, p. 91-106 16 p.

研究成果: ジャーナルへの寄稿記事

Berezin Transform
Laplace-Beltrami Operator
Commutativity
Symmetry
3 引用 (Scopus)

Co-H-spaces and the Ganea conjecture

Iwase, N., 3 1 2001, : : Topology. 40, 2, p. 223-234 12 p.

研究成果: ジャーナルへの寄稿記事

H-space
Coaction
Homotopy
Homology
Circle
1 引用 (Scopus)

Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ2

Kamimoto, J., 1 1 2001, : : Mathematische Zeitschrift. 236, 3, p. 585-603 19 p.

研究成果: ジャーナルへの寄稿記事

Pseudoconvex
Tube
kernel
Bergman Kernel
4 引用 (Scopus)

On non-commutative Ruelle transfer operator

Matsui, T., 10 1 2001, : : Reviews in Mathematical Physics. 13, 10, p. 1183-1201 19 p.

研究成果: ジャーナルへの寄稿記事

Ruelle Operator
Frobenius-Perron Operator
Transfer Operator
algebra
analogs
14 引用 (Scopus)

The split property and the symmetry breaking of the quantum spin chain

Matsui, T., 4 1 2001, : : Communications in Mathematical Physics. 218, 2, p. 393-416 24 p.

研究成果: ジャーナルへの寄稿記事

Quantum Spin Chain
Pure State
Symmetry Breaking
broken symmetry
dichotomies
17 引用 (Scopus)

Piecewise expanding maps on the plane with singular ergodic properties

Masato, T., 1 1 2000, : : Ergodic Theory and Dynamical Systems. 20, 6, p. 1851-1857 7 p.

研究成果: ジャーナルへの寄稿記事

Expanding Maps
Converge
Empirical Measures
Open set