Department of Mathematics

Research Output 1978 2019

2019

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

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

Research output: Contribution to journalArticle

Multiple zeta Values
Analogue
Series
Form

A prime geodesic theorem for SL3(Z)

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

Research output: Contribution to journalArticle

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

Topological Complexity
Klein bottle
Denote
Alternatives

DAHA and skein algebra of surfaces: double-torus knots

Hikami, K., Oct 1 2019, In : Letters in Mathematical Physics. 109, 10, p. 2305-2358 54 p.

Research output: Contribution to journalArticle

Affine Hecke Algebra
Torus knot
algebra
Algebra
polynomials

Mayer–vietoris sequence for differentiable/diffeological spaces

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

Research output: Chapter in Book/Report/Conference proceedingChapter

Differentiable
Partition of Unity
CW-complex
Exact Sequence
Theorem

Nonpolar singularities of local zeta functions in some smooth case

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

Research output: Contribution to journalArticle

Riemann zeta function
Singularity
Real Analytic Functions
Asymptotic Limit
Meromorphic Function
1 Citation (Scopus)
Open Access
Character Variety
Cluster Algebra
Cubic Surface
Poisson Algebra
Quantum Algebra

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

On the Quantum SU(2) Invariant at q=exp(4π√-1/N) and the Twisted Reidemeister Torsion for Some Closed 3-Manifolds

Ohtsuki, T. & Takata, T., Aug 1 2019, In : Communications in Mathematical Physics. 370, 1, p. 151-204 54 p.

Research output: Contribution to journalArticle

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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., Jan 1 2019, Springer Optimization and Its Applications. Springer International Publishing, p. 251-270 20 p. (Springer Optimization and Its Applications; vol. 146).

Research output: Chapter in Book/Report/Conference proceedingChapter

Resolvent
Equilibrium State
Crystal
Algebra
Anharmonic Oscillator
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

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

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

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Whittaker Function
Series Representation
Integral Representation

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
4 Citations (Scopus)

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

Tsujii, M., 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 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
1 Citation (Scopus)
trajectory control
Sputter deposition
interlayers
Nitrogen
Metals
Reductive Group
Riemann zeta function
Zero
Trace Formula
Torsor
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
1 Citation (Scopus)

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
7 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
2 Citations (Scopus)

On the universal deformations for SL2-representations of knot groups

Morishita, M., Takakura, Y., Terashima, Y. & Ueki, J., Mar 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

Preface

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

Research output: Contribution to journalEditorial

1 Citation (Scopus)
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. & Tsujii, M., 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
2 Citations (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
1 Citation (Scopus)
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

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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Eigenvalue Problem
Connecting Orbits
Computer-assisted Proof
Eigenvalue
Interval Arithmetic
4 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
3 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)

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., Jan 1 2016, Automated Reasoning - 8th International Joint Conference, IJCAR 2016, Proceedings. Olivetti, N. & Tiwari, A. (eds.). Springer Verlag, p. 213-227 15 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 9706).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Benchmarking
Natural Language
Automated Theorem Proving
Benchmark
Theorem proving