Research Output 1979 2019

Article
5 Citations (Scopus)

2-connected 7-coverings of 3-connected graphs on surfaces

Kawarabayashi, K. I., Nakamoto, A. & Ota, K., 2003 May, In : Journal of Graph Theory. 43, 1, p. 26-36 11 p.

Research output: Contribution to journalArticle

Graphs on Surfaces
Connected graph
Covering
Euler
Genus
11 Citations (Scopus)

3-trees with few vertices of degree 3 in circuit graphs

Nakamoto, A., Oda, Y. & Ota, K., 2009 Mar 6, In : Discrete Mathematics. 309, 4, p. 666-672 7 p.

Research output: Contribution to journalArticle

Connected graph
Plane Graph
Disjoint Paths
Networks (circuits)
Euler Characteristic
12 Citations (Scopus)

A certain expression of the first Painlevé hierarchy

Shimomura, S., 2004 Jun, In : Proceedings of the Japan Academy Series A: Mathematical Sciences. 80, 6, p. 105-109 5 p.

Research output: Contribution to journalArticle

System of Nonlinear Equations
Singular Point
Generating Function
Irregular
Linear Systems
4 Citations (Scopus)

A class of differential equations of PI-type with the quasi-Painlevé property

Shimomura, S., 2007 Apr, In : Annali di Matematica Pura ed Applicata. 186, 2, p. 267-280 14 p.

Research output: Contribution to journalArticle

Differential equations
Differential equation
Branch Point
General Solution
Second order differential equation
3 Citations (Scopus)

Acute triangles in 4-connected maximal plane graphs

Kawarabayashi, K. I., Nakamoto, A., Oda, Y. & Watanabe, M., 2005 Mar 28, In : Discrete Mathematics. 292, 1-3, p. 95-106 12 p.

Research output: Contribution to journalArticle

Acute triangle
Plane Graph
Face
Octahedron
16 Citations (Scopus)

A Degree Condition for the Existence of Regular Factors in K1, n-Free Graphs

Ota, K. & Tokuda, T., 1996 May, In : Journal of Graph Theory. 22, 1, p. 59-64 6 p.

Research output: Contribution to journalArticle

Degree Condition
Minimum Degree
Induced Subgraph
Connected graph
Odd

A family of solutions of a higher order PVI equation near a regular singularity

Shimomura, S., 2006 Sep 29, In : Journal of Physics A: Mathematical and General. 39, 39, p. 12153-12165 13 p., S09.

Research output: Contribution to journalArticle

Higher order equation
iteration
constrictions
Differential equations
differential equations
18 Citations (Scopus)

A general two-sided matching market with discrete concave utility functions

Fujishige, S. & Tamura, A., 2006 Apr 15, In : Discrete Applied Mathematics. 154, 6, p. 950-970 21 p.

Research output: Contribution to journalArticle

Concave function
Utility Function
Convex Analysis
Hybrid Model
Model
1 Citation (Scopus)

A GMRES(m) method with two stage deflated preconditioners

Shiroishi, J. & Nodera, T., 2010, In : ANZIAM Journal. 52

Research output: Contribution to journalArticle

GMRES
Smallest Eigenvalue
Preconditioner
Deflation
Preconditioning Techniques

A jacobian inequality for gradient maps on the sphere and its application to directional statistics

Sei, T., 2013 Jul 18, In : Communications in Statistics - Theory and Methods. 42, 14, p. 2525-2542 18 p.

Research output: Contribution to journalArticle

Directional Statistics
Log-concave
Potential Function
Gradient
Cost Function

Algebraic independence of certain numbers related to modular functions

Elsner, C., Shimomura, S. & Shiokawa, I., 2012, In : Functiones et Approximatio, Commentarii Mathematici. 47, 1, p. 121-141 21 p.

Research output: Contribution to journalArticle

Algebraic Independence
Modular Functions
Q-series
Ramanujan
Independence Results
2 Citations (Scopus)

Algebraic independence of power series generated by linearly independent positive numbers

Tanaka, T., 2004 Nov 1, In : Results in Mathematics. 46, 3-4, p. 367-380 14 p.

Research output: Contribution to journalArticle

Algebraic Independence
Power series
Linearly
Theorem
Decimal expansion
4 Citations (Scopus)

Algebraic independence of sums of reciprocals of the Fibonacci numbers

Nishioka, K., Tanaka, T. & Toshimitsu, T., 1999, In : Mathematische Nachrichten. 202, p. 97-108 12 p.

Research output: Contribution to journalArticle

Linear Recurrence Relation
Algebraic Independence
Periodic Sequence
Lame number
Algebraic number
1 Citation (Scopus)
Algebraic Independence
Relatively prime
Positive Characteristic
Functional equation
Algebraic number
2 Citations (Scopus)
Generalized Fibonacci numbers
Algebraic Independence
Continued Fraction Expansion
Algebraic number
Continued fraction
1 Citation (Scopus)
Lambert Series
Algebraic Independence
Linear Recurrence
Infinite product
Power series
8 Citations (Scopus)

Algebraic independence of the values of power series generated by linear recurrences

Tanaka, T., 1996, In : Acta Arithmetica. 74, 2, p. 177-190 14 p.

Research output: Contribution to journalArticle

Algebraic Independence
Linear Recurrence
Power series
1 Citation (Scopus)

Algebraic independence of the values of the Hecke–Mahler series and its derivatives at algebraic numbers

Tanaka, T. & Tanuma, Y., 2018 Jun 26, (Accepted/In press) In : International Journal of Number Theory. p. 1-16 16 p.

Research output: Contribution to journalArticle

Algebraic Independence
Algebraic number
Derivative
Series
Irrational number
16 Citations (Scopus)

Algebraic independence results for reciprocal sums of Fibonacci numbers

Elsner, C., Shimomura, S. & Shiokawa, I., 2011, In : Acta Arithmetica. 148, 3, p. 205-223 19 p.

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Lame number
2 Citations (Scopus)

Algebraic independence results for the sixteen families of q-series

Elsner, C., Shimomura, S., Shiokawa, I. & Tachiya, Y., 2010, In : Ramanujan Journal. 22, 3, p. 315-344 30 p.

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Q-series
Jacobian Elliptic Function
Fourier Expansion

Algebraic independence results for the values of certain Mahler functions and their application to infinite products

Kurosawa, T., Tachiya, Y. & Tanaka, T., 2014, In : Monatshefte fur Mathematik. 174, 1, p. 77-104 28 p.

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Infinite product
Linear Recurrence
Entire Function
11 Citations (Scopus)

Algebraic independence results related to linear recurrences

Tanaka, T., 1999 Mar, In : Osaka Journal of Mathematics. 36, 1, p. 203-227 25 p.

Research output: Contribution to journalArticle

Independence Results
Algebraic Independence
Linear Recurrence
4 Citations (Scopus)

Algebraic relations for reciprocal sums of even terms in Fibonacci numbers

Elsner, C., Shimomura, S. & Shiokawa, I., 2012 Feb, In : Journal of Mathematical Sciences. 180, 5, p. 650-671 22 p.

Research output: Contribution to journalArticle

Rational functions
Lame number
Term
Algebraic Independence
Lucas numbers
2 Citations (Scopus)

Algebraic relations for reciprocal sums of odd terms in Fibonacci numbers

Elsner, C., Shimomura, S. & Shiokawa, I., 2008, In : Molecular Neurodegeneration. 3, 1, p. 429-446 18 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Algebraic relations with the infinite products generated by Fibonacci numbers

Kurosawa, T., Tachiya, Y. & Tanaka, T., 2013, In : Annales Mathematicae et Informaticae. 41, p. 107-119 13 p.

Research output: Contribution to journalArticle

Infinite product
Lame number
Subscript
Geometric progression
Lucas numbers
10 Citations (Scopus)

Algebraic theta functions and the p-adic interpolation of eisenstein-kronecker numbers

Bannai, K. & Kobayashi, S., 2010 Jun, In : Duke Mathematical Journal. 153, 2, p. 229-295 67 p.

Research output: Contribution to journalArticle

Algebraic function
Imaginary Quadratic Field
Theta Functions
L-function
P-adic
18 Citations (Scopus)
Capillary-gravity Waves
Korteweg-de Vries equation
Gravity waves
Korteweg-de Vries Equation
Euler equations
7 Citations (Scopus)
Tsunami
Shallow Water
Mathematical Analysis
Velocity Field
Shallow Water Equations
1 Citation (Scopus)

A mathematical justification of a thin film approximation for the flow down an inclined plane

Ueno, H. & Iguchi, T., 2016 Dec 1, In : Journal of Mathematical Analysis and Applications. 444, 1, p. 804-824 21 p.

Research output: Contribution to journalArticle

Inclined
Justification
Thin Films
Thin films
Approximation
10 Citations (Scopus)

A mathematical justification of the forced Korteweg-de Vries equation for capillary-gravity waves

Iguchi, T., 2007 May 10, In : Kyushu Journal of Mathematics. 60, 2, p. 267-303 37 p.

Research output: Contribution to journalArticle

Capillary-gravity Waves
Korteweg-de Vries Equation
Justification
Propagation Speed
Forcing Term
water waves
Water waves
Water Waves
Topography
Justification
1 Citation (Scopus)

An approximate matrix inversion procedure by parallelization of the sherman-morrison formula

Moriya, K., Zhang, L. & Nodera, T., 2009 Jul, In : ANZIAM Journal. 51, 1, p. 1-9 9 p.

Research output: Contribution to journalArticle

Sherman-Morrison Formula
Matrix Inversion
Parallelization
Preconditioner
Matrix Factorization
4 Citations (Scopus)

An asymmetric analogue of van der Veen conditions and the traveling salesman problem

Oda, Y., 2001 May 15, In : Discrete Applied Mathematics. 109, 3, p. 279-292 14 p.

Research output: Contribution to journalArticle

Traveling salesman problem
Travelling salesman problems
Polynomials
Analogue
Polynomial time

An efficient implementation of the block Gram,Schmidt method

Matsuo, Y. & Nodera, T., 2012, In : ANZIAM Journal. 54, SUPPL

Research output: Contribution to journalArticle

QR Factorization
Efficient Implementation
Numerical Experiment
Dependent
Computing
8 Citations (Scopus)

A new adaptive restart for GMRES(m) method

Zhang, L. & Nodera, T., 2004, In : ANZIAM Journal. 46, 5 ELECTRONIC SUPPL.

Research output: Contribution to journalArticle

GMRES
Restart
Ritz Values
Nonsymmetric Linear Systems
Krylov Subspace Methods
5 Citations (Scopus)

A new scheme of computing the approximate inverse preconditioner for the reduced linear systems

Moriya, K. & Nodera, T., 2007 Feb 15, In : Journal of Computational and Applied Mathematics. 199, 2, p. 345-352 8 p.

Research output: Contribution to journalArticle

Approximate Inverse
Preconditioner
Linear systems
Linear Systems
Computing

An initial value problem associated with a painlevé equation on the positive real axis

Shimomura, S., 1997 Dec, In : Nonlinear Analysis, Theory, Methods and Applications. 30, 4, p. 2161-2168 8 p.

Research output: Contribution to journalArticle

Oscillatory Solution
Painlevé Equations
Initial value problems
Initial Value Problem
Asymptotic Expansion
1 Citation (Scopus)

A note on the GMRES method for linear discrete ill-posed problems

Kuroiwa, N. & Nodera, T., 2009, In : Advances in Applied Mathematics and Mechanics. 1, 6, p. 816-829 14 p.

Research output: Contribution to journalArticle

GMRES Method
Ill-posed Problem
Norm
Stabilization
Update

A note on two geometric paths with few crossings for points labeled by integers in the plane

Nakamoto, A., Oda, Y., Watanabe, M. & Yamashita, T., 2017 Jan 1, (Accepted/In press) In : Discrete Mathematics.

Research output: Contribution to journalArticle

Labels
Path
Integer
Disjoint
Vertex of a graph
8 Citations (Scopus)

Anticipatory postural adjustments contribute to age-related changes in compensatory steps associated with unilateral perturbations

Hyodo, M., Saito, M., Ushiba, J., Tomita, Y., Minami, M. & Masakado, Y., 2012 Jul, In : Gait and Posture. 36, 3, p. 625-630 6 p.

Research output: Contribution to journalArticle

Foot
25 Citations (Scopus)

A pair of forbidden subgraphs and perfect matchings

Fujita, S., Kawarabayashi, K. I., Leonardo Lucchesi, C., Ota, K., Plummer, M. D. & Saito, A., 2006 May, In : Journal of Combinatorial Theory. Series B. 96, 3, p. 315-324 10 p.

Research output: Contribution to journalArticle

Forbidden Subgraph
Perfect Matching
Graph in graph theory
Odd
Triangle-free
9 Citations (Scopus)

Approximations of real numbers by the sequence {nα} and their metrical theory

Ito, S. & Nakada, H., 1988 Mar, In : Acta Mathematica Hungarica. 52, 1-2, p. 91-100 10 p.

Research output: Contribution to journalArticle

Approximation
3 Citations (Scopus)

A refined Kurzweil type theorem in positive characteristic

Kim, D. H., Nakada, H. & Natsui, R., 2013 Mar, In : Finite Fields and Their Applications. 20, 1, p. 64-75 12 p.

Research output: Contribution to journalArticle

Positive Characteristic
Monotone
Polynomials
Monotone Sequences
Laurent Series
4 Citations (Scopus)

A remark on Nesterenko's theorem for Ramanujan functions

Elsner, C., Shimomura, S. & Shiokawa, I., 2010 Jan, In : Ramanujan Journal. 21, 2, p. 211-221 11 p.

Research output: Contribution to journalArticle

Q-series
Ramanujan
Algebraic Independence
Theorem
If and only if

Arithmetic distributions of convergents arising from Jacobi-Perron algorithm

Berthé, V., Nakada, H. & Natsui, R., 2006 Jun 19, In : Indagationes Mathematicae. 17, 2, p. 169-185 17 p.

Research output: Contribution to journalArticle

Skew Product
Jacobi
Ergodicity
Continued fraction
Modulo
Functional equation
Algebraic Independence
Independence Results
Several Variables
Linear Combination
5 Citations (Scopus)
Nevanlinna Theory
Meromorphic Function
Theorem
Imply

A second main theorem of Nevanlinna theory for meromorphic functions on complex submanifolds in Cn

Atsuji, A., 2008 Sep, In : Potential Analysis. 29, 2, p. 119-138 20 p.

Research output: Contribution to journalArticle

Nevanlinna Theory
Meromorphic Function
Error term
Submanifolds
Ricci Curvature
Semidefinite Programming Relaxation
Stable Set
Convex Sets
Polynomials
Polynomial time
16 Citations (Scopus)
Shallow Water
Water Waves
Approximation