Department of Mathematics

Research Output 1978 2019

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Article
1999
87 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Multiple zeta Values
Bernoulli numbers
Riemann zeta function
Series

On Poly-Bernoulli numbers

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

Research output: Contribution to journalArticle

On the zeros of certain modular forms

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

Research output: Contribution to journalArticle

9 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

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

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, In : 電気情報通信学会論文誌A. J82-A, 8, p. 1269-1277 9 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

A characterization of pure finitely correlated states

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

Research output: Contribution to journalArticle

Quantum State
Electron energy levels
Algebra
algebra
Zero
2 Citations (Scopus)

Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

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

Research output: Contribution to journalArticle

operators
analogs
36 Citations (Scopus)

Ganea's conjecture on Lusternik-Schnirelmann category

Iwase, N., Jan 1 1998, In : Bulletin of the London Mathematical Society. 30, 6, p. 623-634 12 p.

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Disprove
Series

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

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

Research output: Contribution to journalArticle

10 Citations (Scopus)

The incipient infinite cluster in high-dimensional percolation

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

Research output: Contribution to journalArticle

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

The residual spectrum of U(2,2)

Konno, T., Dec 1 1998, In : Transactions of the American Mathematical Society. 350, 4, p. 1285-1358 74 p.

Research output: Contribution to journalArticle

Automorphic Forms
Discrete Spectrum
Unitary group
Number field
Decomposition
1997
5 Citations (Scopus)

Adjoint action of a finite loop space

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

Vanishing Theorems
Local System
Cohomology of Groups
Spectral Sequence
Algebraic Geometry
5 Citations (Scopus)
S matrix theory
algebra
operators
matrices
nonlinear systems
5 Citations (Scopus)

On quantum PSU(n) invariants for seifert manifolds

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

Research output: Contribution to journalArticle

Seifert Manifold
Invariant
107 Citations (Scopus)

Poly-Bernoulli numbers

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

Research output: Contribution to journalArticle

Bernoulli numbers
Polylogarithms
Duality Theorems
Theorem
Explicit Formula
2 Citations (Scopus)
Translational symmetry
Spin Models
Symmetry Breaking
Ground State
Solitons

Zeros of certain modular functions and an application

Asai, T., Kaneko, M. & Ninomiya, H., 1997, In : Commentarii Mathmatici Universitatis Sancti Pauli. 46, 1, p. 93-101 9 p.

Research output: Contribution to journalArticle

1996
4 Citations (Scopus)

Analytic torsions of spheres

Weng, L. & You, Y., Feb 1 1996, In : International Journal of Mathematics. 7, 1, p. 109-125 17 p.

Research output: Contribution to journalArticle

Analytic Torsion

Chern classes of vector bundles on arithmetic varieties

Nakashima, T. & Takeda, Y., Jan 1 1996, In : Pacific Journal of Mathematics. 176, 1, p. 205-216 12 p.

Research output: Contribution to journalArticle

Chern Classes
Vector Bundle
Line Bundle
Stability Condition
High-dimensional
8 Citations (Scopus)

Integrability of a Hubbard-like model: Lattice analogue of the δ-function interacting gas

Hikami, K. & Murakami, S., Sep 23 1996, In : Physics Letters, Section A: General, Atomic and Solid State Physics. 221, 1-2, p. 109-114 6 p.

Research output: Contribution to journalArticle

analogs
gases
algebra
fermions

On ito's observation on coefficients of the modular polynomial

Kaneko, M., Jan 1 1996, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 72, 5, p. 95-96 2 p.

Research output: Contribution to journalArticle

Polynomial
Coefficient
Observation
5 Citations (Scopus)

On quantum PSU(n)-invariants for lens spaces

Takata, T., Jan 1 1996, In : Journal of Knot Theory and its Ramifications. 5, 6, p. 885-901 17 p.

Research output: Contribution to journalArticle

1995

A generalized Jacobi theta function and quasimodular forms

Kaneko, M. & Zagier, D., 1995, In : Progress in Mathematics. 129, p. 165-172 8 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

A hypergeometric integral attached to the configuration of the mirrors of the reflection group sn+2 acting on pn

Cho, K., Mimachi, K. & Yoshida, M., Jan 1 1995, In : Kyushu Journal of Mathematics. 49, 1, p. 11-34 24 p.

Research output: Contribution to journalArticle

Reflection Group
Mirror
Configuration

A Recurrence Formula for the Bernoulli Numbers

Kaneko, M., 1995, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 71, 8, p. 192-193 2 p.

Research output: Contribution to journalArticle

170 Citations (Scopus)

Critical behavior in gravitational collapse of radiation fluid: A renormalization group (linear perturbation) analysis

Koike, T., Hara, T. & Adachi, S., Jan 1 1995, In : Physical Review Letters. 74, 26, p. 5170-5173 4 p.

Research output: Contribution to journalArticle

gravitational collapse
exponents
perturbation
fluids
radiation
1 Citation (Scopus)

Integral representations of unramified galois groups and matrix divisors over number fields

Morishita, M., Jan 1 1995, In : Osaka Journal of Mathematics. 32, 3, p. 565-576 12 p.

Research output: Contribution to journalArticle

Galois group
Number field
Integral Representation
Divisor
25 Citations (Scopus)

Intersection theory for twisted cohomologies and twisted Riemann’s period relations. I

Cho, K. & Matsumoto, K., Jan 1 1995, In : Nagoya Mathematical Journal. 139, p. 67-86 20 p.

Research output: Contribution to journalArticle

Intersection Theory
Cohomology
16 Citations (Scopus)

Simple construction of the elliptic boundary K-matrix

Hikami, K., Sep 11 1995, In : Physics Letters A. 205, 2-3, p. 167-172 6 p.

Research output: Contribution to journalArticle

operators

Universal R-matrices for the quantum group Uq (sl (N + C)): The root of unity case

Takata, T., Jan 1 1995, In : Osaka Journal of Mathematics. 32, 4, p. 959-986 28 p.

Research output: Contribution to journalArticle

R-matrix
Roots of Unity
Quantum Groups
1994
4 Citations (Scopus)

Comparison of (Co)Homologies of Branched Covering Spaces and Twisted Ones of Basespaces I

Cho, K. & Yoshida, M., Jan 1 1994, In : Kyushu Journal of Mathematics. 48, 1, p. 111-122 12 p.

Research output: Contribution to journalArticle

Branched Covering
Covering Space
Homology
5 Citations (Scopus)

Grassmann manifold of a JH-algebra

Nomura, T., Feb 1 1994, In : Annals of Global Analysis and Geometry. 12, 1, p. 237-260 24 p.

Research output: Contribution to journalArticle

Grassmann Manifold
Jordan
Figure
Algebra
Hilbert Algebra
5 Citations (Scopus)

Purification and uniqueness of quantum Gibbs states

Matsui, T., May 1 1994, In : Communications in Mathematical Physics. 162, 2, p. 321-332 12 p.

Research output: Contribution to journalArticle

Gibbs States
Spin Models
uniqueness
Purification
purification
9 Citations (Scopus)

Smooth projective varieties dominated by smooth quadric hypersurfaces in any characteristic

Cho, K. & Sato, E., Sep 1 1994, In : Mathematische Zeitschrift. 217, 1, p. 553-565 13 p.

Research output: Contribution to journalArticle

Projective Variety
Quadric
Hypersurface
89 Citations (Scopus)

The Riemannian structure of Alexandrov spaces

Otsu, Y. & Shioya, T., Jan 1 1994, In : Journal of Differential Geometry. 39, 3, p. 629-658 30 p.

Research output: Contribution to journalArticle

Alexandrov Space
Singular Point
Hausdorff Dimension
n-dimensional
Curvature
1993
4 Citations (Scopus)

Classical Calogero Model and Matrix Model

Hikami, K. & Wadati, M., Jan 1 1993, In : journal of the physical society of japan. 62, 11, p. 3857-3863 7 p.

Research output: Contribution to journalArticle

matrices
nonlinear evolution equations
current algebra
59 Citations (Scopus)

Infinite Symmetry of the Spin Systems with Inverse Square Interactions

Hikami, K. & Wadati, M., Jan 1 1993, In : journal of the physical society of japan. 62, 12, p. 4203-4217 15 p.

Research output: Contribution to journalArticle

algebra
symmetry
current algebra
interactions
wave functions
53 Citations (Scopus)

Integrability of Calogero-Moser Spin System

Hikami, K. & Wadati, M., Jan 1 1993, In : journal of the physical society of japan. 62, 2, p. 469-472 4 p.

Research output: Contribution to journalArticle

operators
wave functions
ground state
32 Citations (Scopus)

The Quantum Calogero-Moser Model: Algebraic Structures

Ujino, H., Wadati, M. & Hikami, K., Jan 1 1993, In : journal of the physical society of japan. 62, 9, p. 3035-3043 9 p.

Research output: Contribution to journalArticle

operators
acceleration (physics)
current algebra
1992
10 Citations (Scopus)

Integrable spin systems with long-range interactions

Hikami, K., Kulish, P. P. & Wadati, M., Jan 1 1992, In : Chaos, solitons and fractals. 2, 5, p. 543-550 8 p.

Research output: Contribution to journalArticle

Long-range Interactions
Spin Systems
Integrable Systems
Quantum Spin Chain
Spin Chains

The lace expansion for self-avoiding walk in five or more dimensions.

Hara, T. & Slade, G., 1992, In : Reviews in Mathematical Physics. 4, p. 235-327

Research output: Contribution to journalArticle

Lace Expansion
Self-avoiding Walk
Simple Random Walk
expansion
random walk
1991

Critical behaviour of self-avoiding walk in five or more dimensions.

Hara, T. & Slade, G., 1991, In : Bulletin of the American Mathematical Society. 25, p. 417-423

Research output: Contribution to journalArticle

Self-avoiding Walk
Brownian movement
Critical Behavior
Lace Expansion
Convergence in Distribution
26 Citations (Scopus)

On manifolds of positive Ricci curvature with large diameter

Otsu, Y., Jan 1 1991, In : Mathematische Zeitschrift. 206, 1, p. 255-264 10 p.

Research output: Contribution to journalArticle

Positive Curvature
Ricci Curvature