Department of Mathematics

Research Output 1978 2019

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2019

A prime geodesic theorem for SL3(Z)

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

Research output: Contribution to journalArticle

Class number
Geodesic
Theorem
Counting
Subgroup
Covering
Frobenius
Topology
Invariant
Gerbe

A short proof for tc(K)=4

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

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Topological Complexity
Klein bottle
Denote
Alternatives

On Multivariate Hermitian Quadratic Forms

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

Research output: Contribution to journalArticle

Quantifier Elimination
Polynomial ring
Quadratic form
Saturation
Polynomials
2018
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Multiple zeta Values
Regularization
theorems
Linear Relation
Theorem

A proof of Hobson’s formula with the Euler operator

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

Research output: Contribution to journalArticle

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., Jan 1 2018, In : AI Communications. 31, 3, p. 251-266 16 p.

Research output: Contribution to journalArticle

Benchmarking
Algebra
Number theory
Theorem proving
Internet

Determinants of Laplacians on Hilbert modular surfaces

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

Anosov Flow
Three-dimension
Closed
Subset

Genericity of interactions with potentials being Morse functions

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

Research output: Contribution to journalArticle

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

MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS

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

Research output: Contribution to journalArticle

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., Jan 1 2018, In : Journal de Theorie des Nombres de Bordeaux. 30, 1, p. 203-218 16 p.

Research output: Contribution to journalArticle

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

On certain l-functions for deformations of knot group representations

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

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

The error term in the prime orbit theorem for expanding semiflows

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

Research output: Contribution to journalArticle

Semiflow
Error term
Periodic Orbits
Orbits
Orbit

The isometry groups of compact manifolds with almost negative Ricci curvature

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

Research output: Contribution to journalArticle

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., Apr 5 2018, In : Geometry and Topology. 22, 4, p. 2027-2114 88 p.

Research output: Contribution to journalArticle

Invariance
Homology
Closed
Generalise
Invariant
trajectory control
Sputter deposition
interlayers
Nitrogen
Metals
2017
1 Citation (Scopus)

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

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

Research output: Contribution to journalArticle

Topology
Galois Representations
Invariant
Braid Group
Braid

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

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

Research output: Contribution to journalArticle

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

Kato’s inequality for magnetic relativistic Schrödinger operators

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

Research output: Contribution to journalArticle

Operator
Vector Potential
Square root
1 Citation (Scopus)

Mass Renormalization in the Nelson Model

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

Research output: Contribution to journalArticle

Renormalization
Effective Mass
Quantum Field Theory
Ultraviolet
Model
1 Citation (Scopus)

On the universal deformations for SL2-representations of knot groups

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

Research output: Contribution to journalArticle

Knot Group
Deformation Theory
2-bridge Knot
Hyperbolic Knot
Hyperbolic Structure
1 Citation (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., Oct 3 2017, In : Stochastics. 89, 6-7, p. 1104-1115 12 p.

Research output: Contribution to journalArticle

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

p-Johnson homomorphisms and pro-p groups

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

Research output: Contribution to journalArticle

Pro-p Groups
Homomorphisms
Iwasawa Theory
Galois Cohomology
Galois group
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., Jun 1 2017, In : Mathematische Zeitschrift. 286, 1-2, p. 751-781 31 p.

Research output: Contribution to journalArticle

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

The semiclassical zeta function for geodesic flows on negatively curved manifolds

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

Research output: Contribution to journalArticle

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

The slope conjecture for graph knots

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

Research output: Contribution to journalArticle

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

The third order modular linear differential equations

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

Research output: Contribution to journalArticle

Linear differential equation
Generalized Hypergeometric Series
Modular Equations
Multiple Roots
Vertex Operator Algebras
Open Access
Dirichlet L-function
Distribution of Zeros
Riemann hypothesis
Derivative
Zero

Ultra-Weak Time Operators of Schrödinger Operators

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

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

Affine Vertex Operator Algebras and Modular Linear Differential Equations

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

Research output: Contribution to journalArticle

Vertex Operator Algebras
Linear differential equation
algebra
apexes
differential equations

Integral structures on p-adic fourier theory

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

Research output: Contribution to journalArticle

P-adic
Analytic function
Bernoulli
Congruence
Fourier transform
3 Citations (Scopus)

Newton polyhedra and weighted oscillatory integrals with smooth phases

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

Research output: Contribution to journalArticle

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

On lusternik-schnirelmann category of SO(10)

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

Research output: Contribution to journalArticle

Lusternik-Schnirelmann Category
Analytic group
Bundle
2 Citations (Scopus)

ON MULTIPLE ZETA VALUES OF EXTREMAL HEIGHT

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

Research output: Contribution to journalArticle

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

Spectrum of the semi-relativistic Pauli-Fierz model I

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

Research output: Contribution to journalArticle

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

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

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

Research output: Contribution to journalArticle

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

Braids, complex volume and cluster algebras

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

Research output: Contribution to journalArticle

Cluster Algebra
Braid
Octahedron
Knot
Mutation
2 Citations (Scopus)

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

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

Research output: Contribution to journalArticle

Selberg Trace Formula
Riemann zeta function
Hilbert
Modular Group
Binary Quadratic Forms
1 Citation (Scopus)

Dirichlet series constructed from periods of automorphic forms

Gon, Y., Dec 1 2015, In : Mathematische Zeitschrift. 281, 3-4, p. 747-773 27 p.

Research output: Contribution to journalArticle

Automorphic Forms
Dirichlet Series
Analytic Continuation
Argand diagram
1 Citation (Scopus)
Interacting Particle Systems
Scalar Field
Ground State
Uniform Decay
Exponential Decay
34 Citations (Scopus)

Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace

Goldstein, S., Hara, T. & Tasaki, H., Apr 1 2015, In : New Journal of Physics. 17, 045002.

Research output: Contribution to journalArticle

1 Citation (Scopus)

On the Fourier transforms of self-similar measures

Masato, T., Oct 1 2015, In : Dynamical Systems. 30, 4, p. 468-484 17 p.

Research output: Contribution to journalArticle

Self-similar Measure
Large Deviations
Real Line
Fourier transform
Fourier transforms
9 Citations (Scopus)

On the kashaev invariant and the twisted reidemeister torsion of two-bridge knots

Ohtsuki, T. & Takata, T., Apr 10 2015, In : Geometry and Topology. 19, 2, p. 853-952 100 p.

Research output: Contribution to journalArticle

Reidemeister Torsion
Knot
Invariant
Hyperbolic Knot
Hyperbolic Structure

p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas

Bannai, K., Furusho, H. & Kobayashi, S., Jan 1 2015, In : Nagoya Mathematical Journal. 219, 1, p. 269-302 34 p.

Research output: Contribution to journalArticle

P-adic
Elliptic Curves
Series
Analogue
Complex multiplication
6 Citations (Scopus)

Prequantum transfer operator for symplectic anosov diffeomorphism

Faure, F. & Masato, T., Jan 1 2015, In : Asterisque. 2015-January, 375, p. 1-237 237 p.

Research output: Contribution to journalArticle

Anosov Diffeomorphism
Transfer Operator
Ring or annulus
Trace Formula
Spectral Properties
5 Citations (Scopus)

Realization of homogeneous cones through oriented graphs

Yamasaki, T. & Nomura, T., Jan 1 2015, In : Kyushu Journal of Mathematics. 69, 1, p. 11-48 38 p.

Research output: Contribution to journalArticle

Oriented Graph
Cone
Symmetric matrix
Positive definite