Department of Mathematics

Research Output 1978 2019

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2005
3 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Cayley Transform
Algebra
Convexity
Tube
Jordan Algebra
8 Citations (Scopus)

Higher arithmetic K-theory

Takeda, Y., Jan 1 2005, In : Publications of the Research Institute for Mathematical Sciences. 41, 3, p. 599-681 83 p.

Research output: Contribution to journalArticle

K-theory
11 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Simple group
Analytic group
Compatibility Conditions
Fiber Bundle
13 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

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

Non-abelian zeta functions for function fields

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

Ising
Ground State
Anisotropy
anisotropy
ground state
1 Citation (Scopus)

Splitting off rational parts in homotopy types

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

Research output: Contribution to journalArticle

Homotopy Type
Abelian group
Rational Homotopy
Finiteness Conditions
Infinite Groups
2004
11 Citations (Scopus)

Behavior of the Bergman kernel at infinity

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

Research output: Contribution to journalArticle

Bergman Metric
Bergman Kernel
Convex polyhedron
Domain Model
Decay Rate
11 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Blow-up Set
Nonlinear Heat Equation
Diffusion equation
Blow-up
Semilinear Equations
2 Citations (Scopus)

Complexes of exact hermitian cubes and the Zagier conjecture

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

Research output: Contribution to journalArticle

Regular hexahedron
Polylogarithms
Algebraic number Field
K-theory
Regulator
4 Citations (Scopus)

Generalized mahler measures and multiple sine functions

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

Research output: Contribution to journalArticle

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., Jul 1 2004, In : Transactions of the American Mathematical Society. 356, 7, p. 2685-2707 23 p.

Research output: Contribution to journalArticle

Abelian Variety
Flatness
Metric
Compact Manifold
Parameter Space
19 Citations (Scopus)

Milnor invariants and Massey products for prime numbers

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

Research output: Contribution to journalArticle

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

Newton polyhedra and the Bergman kernel

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

Research output: Contribution to journalArticle

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

On multiple L-values

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

Research output: Contribution to journalArticle

L-function
3 Citations (Scopus)

On quasifree representations of infinite dimensional symplectic group

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

Research output: Contribution to journalArticle

Symplectic Group
Weil Representation
Unitary Representation
Automorphisms
Covering
15 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

Riemann zeta function
Euler
55 Citations (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., Jan 1 2003, In : Annals of Probability. 31, 1, p. 349-408 60 p.

Research output: Contribution to journalArticle

Lace Expansion
Self-avoiding Walk
Lattice Animals
High-dimensional
Critical Dimension
60 Citations (Scopus)

Iwasawa theory for elliptic curves at supersingular primes

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

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

Metric tensor estimates, geometric convergence, and inverse boundary problems

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

Research output: Contribution to journalArticle

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

On coefficients of Yablonskii-Vorob'ev polynomials

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

Research output: Contribution to journalArticle

Polynomial
Coefficient
Prime number
Modulo
29 Citations (Scopus)

On Modular Forms Arising from a Differential Equation of Hypergeometric Type

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

Research output: Contribution to journalArticle

Modular Forms
Fourier coefficients
Half-plane
Second order differential equation
Positivity
14 Citations (Scopus)

On the algebra of fluctuation in quantum spin chains

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

Research output: Contribution to journalArticle

Quantum Spin Chain
Central limit theorem
algebra
theorems
Fluctuations
4 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Decompose
Analytic group

Quasimodular forms as solutions to a differential equation of hypergeometric type

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

Research output: Contribution to journalArticle

4 Citations (Scopus)

The kappa function

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

Research output: Contribution to journalArticle

Modular Functions
Fourier Expansion
Elliptic function
6 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

C*-dynamical System
KMS States
Nonequilibrium Steady State
Long-range Interactions
variational principles
2002
17 Citations (Scopus)

A-method in Lusternik-Schnirelmann category

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

Research output: Contribution to journalArticle

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

Bosonic central limit theorem for the one-dimensional XY model

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

Research output: Contribution to journalArticle

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

Hypergeometric modular forms and supersingular elliptic curves

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

Research output: Contribution to journalArticle

Modular Forms
Elliptic Curves
22 Citations (Scopus)

On certain analogies between knots and primes

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

Research output: Contribution to journalArticle

Knot
Analogy
Ramification
Galois group
Number field

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

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

Twisted endoscopy and the generic packet conjecture

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

Research output: Contribution to journalArticle

Endoscopy
Classical Groups
Analogue
Imply
4 Citations (Scopus)

When is a polygonal pyramid number again polygonal?

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

Research output: Contribution to journalArticle

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

Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

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

Research output: Contribution to journalArticle

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

Co-H-spaces and the Ganea conjecture

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

Research output: Contribution to journalArticle

H-space
Coaction
Homotopy
Homology
Circle
9 Citations (Scopus)

Hyperbolicity of partition function and quantum gravity

Hikami, K., Nov 26 2001, In : Nuclear Physics B. 616, 3, p. 537-548 12 p.

Research output: Contribution to journalArticle

partitions
gravitation
tetrahedrons
strings
geometry
1 Citation (Scopus)

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

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

Research output: Contribution to journalArticle

Pseudoconvex
Tube
kernel
Bergman Kernel
4 Citations (Scopus)

On non-commutative Ruelle transfer operator

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

Research output: Contribution to journalArticle

Ruelle Operator
Frobenius-Perron Operator
Transfer Operator
algebra
analogs
10 Citations (Scopus)

The Baxter equation for quantum discrete Boussinesq equation

Hikami, K., Jun 25 2001, In : Nuclear Physics B. 604, 3, p. 580-602 23 p.

Research output: Contribution to journalArticle

operators
difference equations
15 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

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

Piecewise expanding maps on the plane with singular ergodic properties

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

Research output: Contribution to journalArticle

Expanding Maps
Converge
Empirical Measures
Open set
16 Citations (Scopus)

The Akiyama-Tanigawa algorithm for Bernoulli numbers

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

Research output: Contribution to journalArticle

Bernoulli numbers
Stirling numbers
Closed
Computing
1999
1 Citation (Scopus)

Adjoint action of a finite loop space. II

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

Research output: Contribution to journalArticle

Loop Space
Homotopy
Classifying Space
Cohomology
Analytic group
4 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

H-space
Homology
Covering
Corollary