研究成果 1978 2019

34 引用 (Scopus)

Ground states of a model in nonrelativistic quantum electrodynamics. II

Hiroshima, F., 1 1 2000, : : Journal of Mathematical Physics. 41, 2, p. 661-674 14 p.

研究成果: ジャーナルへの寄稿記事

Electrodynamics
quantum electrodynamics
Ground State
Ground State Energy
ground state
4 引用 (Scopus)

On the multiplicities of the zeros of laguerre-pólya functions

Kamimoto, J., Ki, H. & Kim, Y. O., 12 1 2000, : : Proceedings of the American Mathematical Society. 128, 1, p. 189-194 6 p.

研究成果: ジャーナルへの寄稿記事

Laguerre Functions
Multiplicity
Zero
Fourier transform
Fourier transforms
17 引用 (Scopus)

Piecewise expanding maps on the plane with singular ergodic properties

Tsujii, M., 12 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
6 引用 (Scopus)

Supersymmetric extension of the integrable box-ball system

Hikami, K. & Inoue, R., 6 9 2000, : : Journal of Physics A: Mathematical and General. 33, 22, p. 4081-4094 14 p.

研究成果: ジャーナルへの寄稿記事

Crystal Bases
Time Operator
Evolution Operator
Lie Superalgebra
Soliton Solution
16 引用 (Scopus)

The Akiyama-Tanigawa algorithm for Bernoulli numbers

Kaneko, M., 12 1 2000, : : Journal of Integer Sequences. 3, 2, p. 1-7 7 p.

研究成果: ジャーナルへの寄稿記事

Bernoulli numbers
Stirling numbers
Closed
Computing
27 引用 (Scopus)

The scaling limit of the incipient infinite cluster in high-dimensional percolation. I. Critical exponents

Hara, T. & Slade, G., 6 1 2000, : : Journal of Statistical Physics. 99, 5-6, p. 1075-1168 94 p.

研究成果: ジャーナルへの寄稿記事

Scaling Limit
Critical Exponents
High-dimensional
exponents
Brownian Excursion
37 引用 (Scopus)
Brownian Excursion
Scaling Limit
High-dimensional
scaling
complex variables
1999
1 引用 (Scopus)

Adjoint action of a finite loop space. II

Iwase, N. & Kono, A., 1 1 1999, : : Royal Society of Edinburgh - Proceedings A. 129, 4, p. 773-785 13 p.

研究成果: ジャーナルへの寄稿記事

Loop Space
Homotopy
Classifying Space
Cohomology
Analytic group
15 引用 (Scopus)
Vertex Model
cellular automata
Cellular automata
Solitons
Cellular Automata
35 引用 (Scopus)

Critical behavior in gravitational collapse of a perfect fluid

Koike, T., Hara, T. & Adachi, S., 5 15 1999, : : Physical Review D - Particles, Fields, Gravitation and Cosmology. 59, 10, p. 1-9 9 p.

研究成果: ジャーナルへの寄稿記事

Gravitational Collapse
Perfect Fluid
gravitational collapse
Critical Behavior
Critical Phenomena
33 引用 (Scopus)

Crystallization of the Bogoyavlensky Lattice

Hikami, K., Inoue, R. & Komori, Y., 1 1 1999, : : journal of the physical society of japan. 68, 7, p. 2234-2240 7 p.

研究成果: ジャーナルへの寄稿記事

cellular automata
apexes
solitary waves
crystallization
configurations
4 引用 (Scopus)

Homology of the universal covering of a Co-H-space

Iwase, N., Saito, S. & Sumi, T., 12 1 1999, : : Transactions of the American Mathematical Society. 351, 12, p. 4837-4846 10 p.

研究成果: ジャーナルへの寄稿記事

H-space
Homology
Covering
Corollary
89 引用 (Scopus)

Multiple zeta values, poly-Bernoulli numbers, and related zeta functions

Arakawa, T. & Kaneko, M., 3 1 1999, : : Nagoya Mathematical Journal. 153, p. 189-209 21 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Bernoulli numbers
Riemann zeta function
Series

On Poly-Bernoulli numbers

Arakawa, T. & Kaneko, M., 1999, : : Commentarii Mathmatici Universitatis Sancti Pauli. 48, 2, p. 159-167 9 p.

研究成果: ジャーナルへの寄稿記事

35 引用 (Scopus)
Quantum Fields
Eigenvector
Infrared
Ultraviolet
Bosons

On the zeros of certain modular forms

Kaneko, M., 1999, : : Number Theory and its Applications. p. 193-197 5 p.

研究成果: ジャーナルへの寄稿記事

Bergman Kernel
Pseudoconvex
Asymptotic Expansion
Tube
kernel
9 引用 (Scopus)

The PSU(N) invariants of 3-manifolds are algebraic integers

Takata, T. & Yokota, Y., 1999, : : Journal of Knot Theory and its Ramifications. 8, 4, p. 521-532 12 p.

研究成果: ジャーナルへの寄稿記事

Algebraic integer
Invariant
operators
analogs
Modular Functions
Elliptic function
Fourier coefficients
Modulus
Trace

進行波の線型安定性に対する位相的方法

Nii, S., 1999, : : 数学. 51, 3, p. 241-256

研究成果: ジャーナルへの寄稿評論記事

素数位数を有する楕円曲線の構成とその計算量評価

Horiuchi, K., Futa, Y., Sakai, R., Kaneko, M. & Kasahara, M., 1999, : : 電気情報通信学会論文誌A. J82-A, 8, p. 1269-1277 9 p.

研究成果: ジャーナルへの寄稿記事

18 引用 (Scopus)

A characterization of pure finitely correlated states

Matsui, T., 1 1 1998, : : Infinite Dimensional Analysis, Quantum Probability and Related Topics. 1, 4, p. 647-661 15 p.

研究成果: ジャーナルへの寄稿記事

Quantum State
Electron energy levels
Algebra
algebra
Zero
1 引用 (Scopus)

A Relation Between Standard Conjectures and Their Arithmetic Analogues

Takeda, Y., 1 1 1998, : : Kodai Mathematical Journal. 21, 3, p. 249-258 10 p.

研究成果: ジャーナルへの寄稿記事

Analogue
Standards
12 引用 (Scopus)

Berezin transforms and group representations

Nomura, T., 12 1 1998, : : Journal of Lie Theory. 8, 2, p. 433-440 8 p.

研究成果: ジャーナルへの寄稿記事

Berezin Transform
Group Representation
Invariant
19 引用 (Scopus)

Conserved operators of the generalized elliptic ruijsenaars models

Komori, Y. & Hikami, K., 1 1 1998, : : Journal of Mathematical Physics. 39, 11, p. 6175-6190 16 p.

研究成果: ジャーナルへの寄稿記事

operators
Yang-Baxter Equation
Operator
Higher Order
Model
2 引用 (Scopus)

Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

Hikami, K. & Komori, Y., 1 1 1998, : : journal of the physical society of japan. 67, 12, p. 4037-4044 8 p.

研究成果: ジャーナルへの寄稿記事

operators
analogs
1 引用 (Scopus)

Discrete Time Bogoyavlensky Lattice and Lattice W Currents

Inoue, R. & Hikami, K., 1 1 1998, : : journal of the physical society of japan. 67, 11, p. 3729-3733 5 p.

研究成果: ジャーナルへの寄稿記事

difference equations
infinity
interactions
36 引用 (Scopus)

Ganea's conjecture on Lusternik-Schnirelmann category

Iwase, N., 11 1998, : : Bulletin of the London Mathematical Society. 30, 6, p. 623-634 12 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Disprove
Series
1 引用 (Scopus)

On the K-groups of spherical varieties

Takeda, Y., 3 1 1998, : : Osaka Journal of Mathematics. 35, 1, p. 73-81 9 p.

研究成果: ジャーナルへの寄稿記事

Spherical Varieties
K-group

Standard modules of level 1 for sl̂2 in terms of virasoro algebra representations

Weng, L., 1 1 1998, : : Communications in Algebra. 26, 2, p. 613-625 13 p.

研究成果: ジャーナルへの寄稿記事

Virasoro Algebra
Module
Term
Standards

Supersingular j-invariants, hypergeometric series, and Atkin's orthogonal polynomials

Kaneko, M. & Zagier, D., 1998, : : AMS/IP Studies in Advanced Mathematics. 7, p. 97-126 30 p.

研究成果: ジャーナルへの寄稿記事

18 引用 (Scopus)

The Hungry-Volterra Model - The Classical and Quantum Integrable Structures

Inoue, R. & Hikami, K., 1 1 1998, : : journal of the physical society of japan. 67, 1, p. 87-92 6 p.

研究成果: ジャーナルへの寄稿記事

matrices
10 引用 (Scopus)

The incipient infinite cluster in high-dimensional percolation

Hara, T. & Slade, G., 7 31 1998, : : Electronic Research Announcements of the American Mathematical Society. 4, 8, p. 48-55 8 p.

研究成果: ジャーナルへの寄稿記事

High-dimensional
Lace Expansion
Brownian Excursion
Scaling Limit
Higher Dimensions
8 引用 (Scopus)

The residual spectrum of U(2,2)

Kon-No, T., 12 1 1998, : : Transactions of the American Mathematical Society. 350, 4, p. 1285-1358 74 p.

研究成果: ジャーナルへの寄稿記事

Automorphic Forms
Discrete Spectrum
Unitary group
Number field
Decomposition
12 引用 (Scopus)
Hamiltonians
Weak Coupling
Ultraviolet
Scalar Field
cut-off
1997
5 引用 (Scopus)

Adjoint action of a finite loop space

Iwase, N., 12 1 1997, : : Proceedings of the American Mathematical Society. 125, 9, p. 2753-2757 5 p.

研究成果: ジャーナルへの寄稿記事

Lie groups
Loop Space
Analytic group
Compact Lie Group
Homotopy
21 引用 (Scopus)

A generalization of Kita and Noumi's vanishing theorems of cohomology groups of local system

Cho, K., 1 1 1997, : : Nagoya Mathematical Journal. 147, p. 63-69 7 p.

研究成果: ジャーナルへの寄稿記事

Vanishing Theorems
Local System
Cohomology of Groups
Spectral Sequence
Algebraic Geometry
9 引用 (Scopus)
Effective Potential
Scaling Limit
radiation distribution
Radiation
Scalar
13 引用 (Scopus)

Hidden Symmetry of the Bogoyavlensky Lattice. The Lattice W Algebras and the Vertex Operators

Hikami, K., Sogo, K. & Inoue, R., 1 1 1997, : : journal of the physical society of japan. 66, 12, p. 3756-3763 8 p.

研究成果: ジャーナルへの寄稿記事

algebra
apexes
operators
symmetry
solitary waves
3 引用 (Scopus)

Integrability, fusion, and duality in the elliptic Ruijsenaars model

Hikami, K. & Komori, Y., 4 10 1997, : : Modern Physics Letters A. 12, 11, p. 751-761 11 p.

研究成果: ジャーナルへの寄稿記事

fusion
operators
algebra
analogs
1 引用 (Scopus)

Integrable three-body problems with two- and three-body interactions

Komori, Y. & Hikami, K., 3 21 1997, : : Journal of Physics A: Mathematical and General. 30, 6, p. 1913-1923 11 p.

研究成果: ジャーナルへの寄稿記事

Three-body Problem
three body problem
Dunkl Operators
operators
Yang-Baxter Equation
13 引用 (Scopus)

Lattice WN algebra and its quantization

Hikami, K., 11 17 1997, : : Nuclear Physics B. 505, 3, p. 749-770 22 p.

研究成果: ジャーナルへの寄稿記事

algebra
matrices
5 引用 (Scopus)
S matrix theory
algebra
operators
matrices
nonlinear systems
5 引用 (Scopus)

On quantum PSU(n) invariants for seifert manifolds

Takata, T., 1997, : : Journal of Knot Theory and its Ramifications. 6, 3, p. 417-426 10 p.

研究成果: ジャーナルへの寄稿記事

Seifert Manifold
Invariant
108 引用 (Scopus)

Poly-Bernoulli numbers

Kaneko, M., 1 1 1997, : : Journal de Theorie des Nombres de Bordeaux. 9, 1, p. 221-228 8 p.

研究成果: ジャーナルへの寄稿記事

Bernoulli numbers
Polylogarithms
Duality Theorems
Theorem
Explicit Formula