研究成果 1978 2019

2019

Analogues of the aoki-ohno and le-murakami relations for finite multiple zeta values

Kaneko, M., Oyama, K. & Saito, S., 8 1 2019, : : Bulletin of the Australian Mathematical Society. 100, 1, p. 34-40 7 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Analogue
Series
Form

A prime geodesic theorem for SL3(Z)

Deitmar, A., Spilioti, P. & Gon, Y., 1 1 2019, : : Forum Mathematicum. 31, 5, p. 1179-1201

研究成果: ジャーナルへの寄稿記事

Geodesic
Theorem
Counting
Subgroup
Covering
Frobenius
Topology
Invariant
Gerbe

A short proof for tc(K)=4

Iwase, N., Sakai, M. & Tsutaya, M., 9 1 2019, : : Topology and its Applications. 264, p. 167-174 8 p.

研究成果: ジャーナルへの寄稿記事

Topological Complexity
Klein bottle
Denote
Alternatives

DAHA and skein algebra of surfaces: double-torus knots

Hikami, K., 1 1 2019, : : Letters in Mathematical Physics.

研究成果: ジャーナルへの寄稿記事

Affine Hecke Algebra
Torus knot
algebra
Algebra
polynomials

Mayer–vietoris sequence for differentiable/diffeological spaces

Iwase, N. & Izumida, N., 1 1 2019, Trends in Mathematics. Springer International Publishing, p. 123-151 29 p. (Trends in Mathematics).

研究成果: 著書/レポートタイプへの貢献

Differentiable
Partition of Unity
CW-complex
Exact Sequence
Theorem

Nonpolar singularities of local zeta functions in some smooth case

Kamimoto, J. & Nose, T., 1 1 2019, : : Transactions of the American Mathematical Society. 372, 1, p. 661-676 16 p.

研究成果: ジャーナルへの寄稿記事

Riemann zeta function
Singularity
Real Analytic Functions
Asymptotic Limit
Meromorphic Function
1 引用 (Scopus)
公開
Character Variety
Cluster Algebra
Cubic Surface
Poisson Algebra
Quantum Algebra
Reidemeister Torsion
torsion
Asymptotic Expansion
Square root
Flat Connection

Pointwise Exponential Decay of Bound States of the Nelson Model With Kato-Class Potentials

Hiroshima, F., 1 1 2019, Springer Optimization and Its Applications. Springer International Publishing, p. 225-250 26 p. (Springer Optimization and Its Applications; 巻数 146).

研究成果: 著書/レポートタイプへの貢献

Kato Class
Exponential Decay
Bound States
Martingale
Semigroup

Regular KMS States of Weakly Coupled Anharmonic Crystals and the Resolvent CCR Algebra

Kanda, T. & Matsui, T., 1 1 2019, Springer Optimization and Its Applications. Springer International Publishing, p. 251-270 20 p. (Springer Optimization and Its Applications; 巻数 146).

研究成果: 著書/レポートタイプへの貢献

Resolvent
Equilibrium State
Crystal
Algebra
Anharmonic Oscillator
2018
2 引用 (Scopus)

A new integral–series identity of multiple zeta values and regularizations

Kaneko, M. & Yamamoto, S., 7 1 2018, : : Selecta Mathematica, New Series. 24, 3, p. 2499-2521 23 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Regularization
theorems
Linear Relation
Theorem

An explicit integral representation of Siegel-Whittaker functions on sp(2, ℝ) for the large discrete series representations

Gon, Y. & Oda, T., 1 1 2018, Contemporary Mathematics. American Mathematical Society, p. 105-123 19 p. (Contemporary Mathematics; 巻数 701).

研究成果: 著書/レポートタイプへの貢献章 (査読済み)

Whittaker Function
Series Representation
Integral Representation

A proof of Hobson’s formula with the Euler operator

Nomura, T., 1 1 2018, : : Kyushu Journal of Mathematics. 72, 2, p. 423-427 5 p.

研究成果: ジャーナルへの寄稿記事

Euler
Operator

Can an A.I. win a medal in the mathematical olympiad?-Benchmarking mechanized mathematics on pre-university problems 1

Matsuzaki, T., Iwane, H., Kobayashi, M., Zhan, Y., Fukasaku, R., Kudo, J., Anai, H. & Arai, N. H., 1 1 2018, : : AI Communications. 31, 3, p. 251-266 16 p.

研究成果: ジャーナルへの寄稿記事

Benchmarking
Algebra
Number theory
Theorem proving
Internet

Determinants of Laplacians on Hilbert modular surfaces

Gon, Y., 1 1 2018, : : Publicacions Matematiques. 62, 2, p. 615-639 25 p.

研究成果: ジャーナルへの寄稿記事

Hilbert
Determinant
Real Quadratic Fields
Modular Group
Riemann zeta function
3 引用 (Scopus)

Exponential mixing for generic volume-preserving Anosov flows in dimension three

Masato, T., 1 1 2018, : : Journal of the Mathematical Society of Japan. 70, 2, p. 757-821 65 p.

研究成果: ジャーナルへの寄稿記事

Anosov Flow
Three-dimension
Closed
Subset

Genericity of interactions with potentials being Morse functions

Nii, S., 7 1 2018, : : Journal of Geometry and Physics. 129, p. 233-237 5 p.

研究成果: ジャーナルへの寄稿記事

Morse Function
Genericity
Potential Function
Nearest Neighbor
Interaction
2 引用 (Scopus)

MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS

Kaneko, M. & Tsumura, H., 12 1 2018, : : Nagoya Mathematical Journal. 232, p. 19-54 36 p.

研究成果: ジャーナルへの寄稿記事

Bernoulli numbers
Riemann zeta function
Multiple zeta Values
Integer
Linear Combination

On a duality formula for certain sums of values of poly-Bernoulli polynomials and its application

Kaneko, M., Sakurai, F. & Tsumura, H., 1 1 2018, : : Journal de Theorie des Nombres de Bordeaux. 30, 1, p. 203-218 16 p.

研究成果: ジャーナルへの寄稿記事

Bernoulli Polynomials
Duality
Bernoulli numbers
Riemann zeta function
Generating Function
1 引用 (Scopus)

On certain l-functions for deformations of knot group representations

Kitayama, T., Morishita, M., Tange, R. & Terashima, Y., 5 1 2018, : : Transactions of the American Mathematical Society. 370, 5, p. 3171-3195 25 p.

研究成果: ジャーナルへの寄稿記事

Knot Group
Group Representation
L-function
Module
Knot
1 引用 (Scopus)

On mod 3 triple Milnor invariants and triple cubic residue symbols in the Eisenstein number field

Amano, F., Mizusawa, Y. & Morishita, M., 3 1 2018, : : Research in Number Theory. 4, 1, 7.

研究成果: ジャーナルへの寄稿記事

Number field
Invariant
Galois Cohomology
Ramification
Knot
2 引用 (Scopus)

The error term in the prime orbit theorem for expanding semiflows

Tsujii, M., 8 1 2018, : : Ergodic Theory and Dynamical Systems. 38, 5, p. 1954-2000 47 p.

研究成果: ジャーナルへの寄稿記事

Semiflow
Error term
Periodic Orbits
Orbits
Orbit

The isometry groups of compact manifolds with almost negative Ricci curvature

Katsuda, A. & Kobayashi, T., 9 1 2018, : : Tohoku Mathematical Journal. 70, 3, p. 391-400 10 p.

研究成果: ジャーナルへの寄稿記事

Isometry Group
Negative Curvature
Ricci Curvature
Compact Manifold
Riemannian Manifold

Unfolded Seiberg–Witten Floer spectra, I: Definition and invariance

Khandhawit, T., Lin, J. & Sasahira, H., 4 5 2018, : : Geometry and Topology. 22, 4, p. 2027-2114 88 p.

研究成果: ジャーナルへの寄稿記事

Invariance
Homology
Closed
Generalise
Invariant
1 引用 (Scopus)
trajectory control
Sputter deposition
interlayers
Nitrogen
Metals

Zeta functions of reductive groups and their zeros

Weng, L., 2 7 2018, World Scientific Publishing Co. Pte Ltd. 528 p.

研究成果: 著書/レポートタイプ著書

Reductive Group
Riemann zeta function
Zero
Trace Formula
Torsor
2017
1 引用 (Scopus)

Arithmetic topology in Ihara theory: To the memory of professor Akito Nomura

Kodani, H., Morishita, M. & Terashima, Y., 1 1 2017, : : Publications of the Research Institute for Mathematical Sciences. 53, 4, p. 629-688 60 p.

研究成果: ジャーナルへの寄稿記事

Topology
Galois Representations
Invariant
Braid Group
Braid
1 引用 (Scopus)

Hecke-type formulas for families of unified Witten-Reshetikhin-Turaev invariants

Hikami, K. & Lovejoy, J., 1 1 2017, : : Communications in Number Theory and Physics. 11, 2, p. 249-272 24 p.

研究成果: ジャーナルへの寄稿記事

Torus knot
surgery
Surgery
Invariant
Colored Jones Polynomial
6 引用 (Scopus)

Kato’s inequality for magnetic relativistic Schrödinger operators

Hiroshima, F., Ichinose, T. & Lőrinczi, J., 1 1 2017, : : Publications of the Research Institute for Mathematical Sciences. 53, 1, p. 79-117 39 p.

研究成果: ジャーナルへの寄稿記事

Operator
Vector Potential
Square root
1 引用 (Scopus)

Mass Renormalization in the Nelson Model

Hiroshima, F. & Osawa, S., 1 1 2017, : : International Journal of Mathematics and Mathematical Sciences. 2017, 4760105.

研究成果: ジャーナルへの寄稿記事

Renormalization
Effective Mass
Quantum Field Theory
Ultraviolet
Model
2 引用 (Scopus)

On the universal deformations for SL2-representations of knot groups

Morishita, M., Takakura, Y., Terashima, Y. & Ueki, J., 3 1 2017, : : Tohoku Mathematical Journal. 69, 1, p. 67-84 18 p.

研究成果: ジャーナルへの寄稿記事

Knot Group
Deformation Theory
2-bridge Knot
Hyperbolic Knot
Hyperbolic Structure
1 引用 (Scopus)

P(φ)1-process for the spin-boson model and a functional central limit theorem for associated additive functionals

Gheryani, S., Hiroshima, F., Lőrinczi, J., Majid, A. & Ouerdiane, H., 10 3 2017, : : Stochastics. 89, 6-7, p. 1104-1115 12 p.

研究成果: ジャーナルへの寄稿記事

Additive Functionals
Functional Central Limit Theorem
Hamiltonians
Bosons
Schwartz Distributions
2 引用 (Scopus)

p-Johnson homomorphisms and pro-p groups

Morishita, M. & Terashima, Y., 6 1 2017, : : Journal of Algebra. 479, p. 102-136 35 p.

研究成果: ジャーナルへの寄稿記事

Pro-p Groups
Homomorphisms
Iwasawa Theory
Galois Cohomology
Galois group

Preface

Baklouti, A. & Nomura, T., 1 1 2017, : : Springer Proceedings in Mathematics and Statistics. 207, p. V-VI

研究成果: ジャーナルへの寄稿編集

Seiberg-Witten Invariants
Four-manifolds
Connected Sum
4-manifold
Betti numbers

The radius of convergence of the p-adic sigma function

Bannai, K., Kobayashi, S. & Yasuda, S., 6 1 2017, : : Mathematische Zeitschrift. 286, 1-2, p. 751-781 31 p.

研究成果: ジャーナルへの寄稿記事

Sigma function
Radius of convergence
P-adic
Imaginary Quadratic Field
Divisibility
7 引用 (Scopus)

The semiclassical zeta function for geodesic flows on negatively curved manifolds

Faure, F. & Masato, T., 6 1 2017, : : Inventiones Mathematicae. 208, 3, p. 851-998 148 p.

研究成果: ジャーナルへの寄稿記事

Geodesic Flow
Riemann zeta function
Anosov Flow
Transfer Operator
Hyperbolicity
3 引用 (Scopus)

The slope conjecture for graph knots

Motegi, K. & Takata, T., 5 1 2017, : : Mathematical Proceedings of the Cambridge Philosophical Society. 162, 3, p. 383-392 10 p.

研究成果: ジャーナルへの寄稿記事

Knot
Slope
Graph in graph theory
Colored Jones Polynomial
Vanish
1 引用 (Scopus)

The third order modular linear differential equations

Kaneko, M., Nagatomo, K. & Sakai, Y., 9 1 2017, : : Journal of Algebra. 485, p. 332-352 21 p.

研究成果: ジャーナルへの寄稿記事

Linear differential equation
Generalized Hypergeometric Series
Modular Equations
Multiple Roots
Vertex Operator Algebras

Ultra-Weak Time Operators of Schrödinger Operators

Arai, A. & Hiroshima, F., 9 1 2017, : : Annales Henri Poincare. 18, 9, p. 2995-3033 39 p.

研究成果: ジャーナルへの寄稿記事

Time Operator
operators
Operator
Borel Functions
theorems
2016
1 引用 (Scopus)

A characterization of symmetric cones by the degrees of basic relative invariants

Yamasaki, T. & Nomura, T., 1 1 2016, : : Kyushu Journal of Mathematics. 70, 2, p. 237-257 21 p.

研究成果: ジャーナルへの寄稿記事

Dual Cone
Symmetric Cone
Permutation
Cone
Invariant
6 引用 (Scopus)

Affine Vertex Operator Algebras and Modular Linear Differential Equations

Arike, Y., Kaneko, M., Nagatomo, K. & Sakai, Y., 5 1 2016, : : Letters in Mathematical Physics. 106, 5, p. 693-718 26 p.

研究成果: ジャーナルへの寄稿記事

Vertex Operator Algebras
Linear differential equation
algebra
apexes
differential equations

Computer assisted verification of the eigenvalue problem for one-dimensional Schrödinger operator

Sekisaka, A. & Nii, S., 1 1 2016, Mathematical Challenges in a New Phase of Materials Science. Nishiura, Y. & Kotani, M. (版). Springer New York LLC, p. 145-157 13 p. (Springer Proceedings in Mathematics and Statistics; 巻数 166).

研究成果: 著書/レポートタイプへの貢献会議での発言

Eigenvalue Problem
Connecting Orbits
Computer-assisted Proof
Eigenvalue
Interval Arithmetic
4 引用 (Scopus)

Newton polyhedra and weighted oscillatory integrals with smooth phases

Kamimoto, J. & Nose, T., 1 1 2016, : : Transactions of the American Mathematical Society. 368, 8, p. 5301-5361 61 p.

研究成果: ジャーナルへの寄稿記事

Newton Polyhedron
Oscillatory Integrals
Asymptotic Expansion
Poles
Term
1 引用 (Scopus)

On lusternik-schnirelmann category of SO(10)

Iwase, N., Kikuchi, K. & Miyauchi, T., 1 1 2016, : : Fundamenta Mathematicae. 234, 3, p. 201-227 27 p.

研究成果: ジャーナルへの寄稿記事

Lusternik-Schnirelmann Category
Analytic group
Bundle
3 引用 (Scopus)

ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

Kaneko, M. & Sakata, M., 4 1 2016, : : Bulletin of the Australian Mathematical Society. 93, 2, p. 186-193 8 p.

研究成果: ジャーナルへの寄稿記事

Multiple zeta Values
Sum formula
Explicit Formula
2 引用 (Scopus)

Spectrum of the semi-relativistic Pauli-Fierz model I

Hidaka, T. & Hiroshima, F., 5 1 2016, : : Journal of Mathematical Analysis and Applications. 437, 1, p. 330-349 20 p.

研究成果: ジャーナルへの寄稿記事

Hamiltonians
Electrodynamics
Hilbert spaces
Dispersion Relation
Self-adjoint Operator
4 引用 (Scopus)

The partial captivity condition for U(1) extensions of expanding maps on the circle

Nakano, Y., Masato, T. & Wittsten, J., 5 25 2016, : : Nonlinearity. 29, 7, p. 1917-1925 9 p.

研究成果: ジャーナルへの寄稿記事

Expanding Maps
Circle
Partial
Group Extension
Stochastic Perturbation
2015
7 引用 (Scopus)

Braids, complex volume and cluster algebras

Hikami, K. & Inoue, R., 10 10 2015, : : Algebraic and Geometric Topology. 15, 4, p. 2175-2194 20 p., A008.

研究成果: ジャーナルへの寄稿記事

Cluster Algebra
Braid
Octahedron
Knot
Mutation