研究成果 1978 2019

2019

A prime geodesic theorem for SL3(Z)

Deitmar, A., Spilioti, P. & Gon, Y., 1 1 2019, : : Forum Mathematicum.

研究成果: ジャーナルへの寄稿記事

Class number
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

Lusternik-Schnirelmann Category
Topological Complexity
Klein bottle
Denote
Alternatives

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

On Multivariate Hermitian Quadratic Forms

Fukasaku, R., Iwane, H. & Sato, Y., 6 1 2019, : : Mathematics in Computer Science. 13, 1-2, p. 79-93 15 p.

研究成果: ジャーナルへの寄稿記事

Quantifier Elimination
Polynomial ring
Quadratic form
Saturation
Polynomials

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

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
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

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
1 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
公開
Dirichlet L-function
Distribution of Zeros
Riemann hypothesis
Derivative
Zero

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

Integral structures on p-adic fourier theory

Bannai, K. & Kobayashi, S., 1 1 2016, : : Annales de l'Institut Fourier. 66, 2, p. 521-550 30 p.

研究成果: ジャーナルへの寄稿記事

P-adic
Analytic function
Bernoulli
Congruence
Fourier transform
3 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
2 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)

Race against the teens – Benchmarking mechanized math on pre-university problems

Matsuzaki, T., Iwane, H., Kobayashi, M., Zhan, Y., Fukasaku, R., Kudo, J., Anai, H. & Arai, N. H., 1 1 2016, Automated Reasoning - 8th International Joint Conference, IJCAR 2016, Proceedings. Olivetti, N. & Tiwari, A. (版). Springer Verlag, p. 213-227 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); 巻数 9706).

研究成果: 著書/レポートタイプへの貢献会議での発言

Benchmarking
Natural Language
Automated Theorem Proving
Benchmark
Theorem proving
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
2 引用 (Scopus)

Differences of the Selberg trace formula and Selberg type zeta functions for Hilbert modular surfaces

Gon, Y., 2 1 2015, : : Journal of Number Theory. 147, p. 396-453 58 p.

研究成果: ジャーナルへの寄稿記事

Selberg Trace Formula
Riemann zeta function
Hilbert
Modular Group
Binary Quadratic Forms