Department of Mathematics

Research Output 1978 2019

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2004
20 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
4 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
21 Citations (Scopus)

Quantum Invariant for Torus Link and Modular Forms

Hikami, K., Apr 1 2004, In : Communications in Mathematical Physics. 246, 2, p. 403-426 24 p.

Research output: Contribution to journalArticle

Quantum Invariants
Modular Forms
unity
Torus
expansion
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
56 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
9 Citations (Scopus)

Family of Cayley transforms of a homogeneous Siegel domain parameterized by admissible linear forms

Nomura, T., Jan 1 2003, In : Differential Geometry and its Application. 18, 1, p. 55-78 24 p.

Research output: Contribution to journalArticle

Cayley Transform
Linear Forms
Vector spaces
Vector space
Bounded Domain

First variation of Selberg zeta functions and variational trace formulas

Gon, Y., Sep 2003, In : Journal of the Ramanujan Mathematical Society. 18, 3, p. 257-280

Research output: Contribution to journalArticle

63 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
6 Citations (Scopus)

Localization of the number of photons of ground states in nonrelativistic QED

Hiroshima, F., May 1 2003, In : Reviews in Mathematical Physics. 15, 3, p. 271-312 42 p.

Research output: Contribution to journalArticle

radiation distribution
Ground State
Photon
Radiation
Electron
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
31 Citations (Scopus)

On Modular Forms Arising from a Differential Equation of Hypergeometric Type

Kaneko, M. & Koike, M., Mar 1 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
15 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
5 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
10 Citations (Scopus)

Topics in quantum integrable systems

Hikami, K. & Wadati, M., Aug 1 2003, In : Journal of Mathematical Physics. 44, 8, p. 3569-3594 26 p.

Research output: Contribution to journalArticle

Quantum Integrable Systems
polynomials
Dunkl Operators
Macdonald Polynomials
Yang-Baxter Equation
20 Citations (Scopus)

Torus knot and minimal model

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

Research output: Contribution to journalArticle

integers
unity
polynomials
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
5 Citations (Scopus)

Vicious walkers and hook Young tableaux

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

Research output: Contribution to journalArticle

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

Volume conjecture and asymptotic expansion of q-series

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

Research output: Contribution to journalArticle

Q-series
Asymptotic Expansion
Knot
Invariant
Borromean rings
20 Citations (Scopus)

Weakly expanding skew-products of quadratic maps

Buzzi, J., Sester, O. & Tsujii, M., Oct 1 2003, In : Ergodic Theory and Dynamical Systems. 23, 5, p. 1401-1414 14 p.

Research output: Contribution to journalArticle

Quadratic Map
Skew Product
Circle
Expanding Maps
Doubling
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
26 Citations (Scopus)

Ground state properties of the Nelson Hamiltonian: A Gibbs measure-based approach

Betz, V., Hiroshima, F., Lorinczi, J., Minlos, R. A. & Spohn, H., Aug 26 2002, In : Reviews in Mathematical Physics. 14, 2, p. 173-198 26 p.

Research output: Contribution to journalArticle

Gibbs Measure
Ground State
ground state
functional integration
Functional Integration

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
38 Citations (Scopus)

Kashaev's conjecture and the chern-simons invariants of knots and links

Murakami, H., Murakami, J., Okamoto, M., Takata, T. & Yokota, Y., Jan 1 2002, In : Experimental Mathematics. 11, 3, p. 427-435 9 p.

Research output: Contribution to journalArticle

Hyperbolic Volume
Colored Jones Polynomial
Knot
Link Invariants
Complexification
24 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
19 Citations (Scopus)

Quasi-classical descendants of disordered vertex models with boundaries

Di Lorenzo, A., Amico, L., Hikami, K., Osterloh, A. & Giaquinta, G., Nov 18 2002, In : Nuclear Physics B. 644, 3, p. 409-432 24 p.

Research output: Contribution to journalArticle

apexes
fermions
spin-spin coupling
boundary conditions
operators
46 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Self-adjointness
radiation distribution
Radiation
Electron
Essential Self-adjointness

The resolvent trace formula for rank one Lie groups

Gon, Y. & Tsuzuki, M., 2002, In : Asian Journal of Mathematics. 6, 2, p. 227-252

Research output: Contribution to journalArticle

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
35 Citations (Scopus)

Absolutely continuous invariant measures for expanding piecewise linear maps

Masato, T., Jan 1 2001, In : Inventiones Mathematicae. 143, 2, p. 349-373 25 p.

Research output: Contribution to journalArticle

Piecewise Linear Map
Absolutely Continuous Invariant Measure
Euclidean space
Arbitrary
1 Citation (Scopus)

Admissible Hermitian metrics on families of line bundles over certain degenerating Riemann surfaces

To, W. K. & Weng, L., Feb 2001, In : Pacific Journal of Mathematics. 197, 2, p. 441-489 49 p.

Research output: Contribution to journalArticle

Line Bundle
Riemann Surface
Metric
Family
Necessary Conditions
6 Citations (Scopus)

A theory of genera for cyclic coverings of links

Morishita, M., Jan 1 2001, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 77, 7, p. 115-118 4 p.

Research output: Contribution to journalArticle

Genus
Covering
Number field
Analogue
Knot Theory
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
24 Citations (Scopus)

Enhanced binding through coupling to a quantum field

Hiroshima, F. & Spohn, H., Dec 1 2001, In : Annales Henri Poincare. 2, 6, p. 1159-1187 29 p.

Research output: Contribution to journalArticle

Quantum Fields
radiation distribution
Ground State
Radiation
ground state
45 Citations (Scopus)

Fat solenoidal attractors

Tsujii, M., Sep 1 2001, In : Nonlinearity. 14, 5, p. 1011-1027 17 p.

Research output: Contribution to journalArticle

Skew Product
fats
Absolutely Continuous
Oils and fats
dynamical systems
23 Citations (Scopus)

Ground state degeneracy of the Pauli-Fierz Hamiltonian with spin

Hiroshima, F. & Spohn, H., Nov 2001, In : Advances in Theoretical and Mathematical Physics. 5, 6, p. 1091-1104 14 p.

Research output: Contribution to journalArticle

Degeneracy
Ground State
momentum
ground state
Momentum
17 Citations (Scopus)

Ground states and spectrum of quantum electrodynamics of nonrelativistic particles

Hiroshima, F., Dec 1 2001, In : Transactions of the American Mathematical Society. 353, 11, p. 4497-4528 32 p.

Research output: Contribution to journalArticle

Hamiltonians
Electrodynamics
Ground state
Ground State
Radiation
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
28 Citations (Scopus)

Hyperbolic structure arising from a knot invariant

Hikami, K., Jul 30 2001, In : International Journal of Modern Physics A. 16, 19, p. 3309-3333 25 p.

Research output: Contribution to journalArticle

saddle points
polyhedrons
analogs