数学部門

研究成果

年別の研究成果 1978 2021

• 274 Article
• 14 Chapter
• 11 Conference contribution
• 9 Review article
• 16 その他
  • 8 Editorial
  • 4 Chapter (peer-reviewed)
  • 3 Comment/debate
  • 1 Book

年別の研究成果

年別の研究成果

検索結果

• 2021

  A generalized regularization theorem and Kawashima's relation for multiple zeta values

  Kaneko, M., Xu, C. & Yamamoto, S., 8 15 2021, In: Journal of Algebra. 580, p. 247-263 17 p.

  研究成果: Contribution to journal › Article › 査読

  • Multiple zeta Values 100%
  • Regularization 63%
  • Theorem 29%
  • Series 18%
  • Generalization 7%

• Algebraic approaches for solving isogeny problems of prime power degrees

  Takahashi, Y., Kudo, M., Fukasaku, R., Ikematsu, Y., Yasuda, M. & Yokoyama, K., 1 1 2021, In: Journal of Mathematical Cryptology. 15, 1, p. 31-44 14 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Quantum cryptography 100%
  • Isogeny 91%
  • Algebraic Approach 78%
  • Polynomials 54%
  • Quantum Cryptography 31%

• A rigidity theorem for killing vector fields on compact manifolds with almost nonpositive ricci curvature

  Katsuda, A. & Nakamura, T., 3 2021, In: Proceedings of the American Mathematical Society. 149, 3, p. 1215-1224 10 p.

  研究成果: Contribution to journal › Article › 査読

  • Killing Vector Field 100%
  • Nonpositive Curvature 93%
  • Ricci Curvature 80%
  • Rigidity 75%
  • Compact Manifold 68%

• Collapsing of the line bundle mean curvature flow on Kähler surfaces

  Takahashi, R., 2 2021, In: Calculus of Variations and Partial Differential Equations. 60, 1, 27.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Collapsing 100%
  • Mean Curvature Flow 95%
  • Line Bundle 81%
  • Self-intersection 32%
  • Singular Solutions 30%

• Newton polyhedra and order of contact on real hypersurfaces

  Kamimoto, J., 2021, In: Journal of the Mathematical Society of Japan. 73, 1, p. 1-39 39 p.

  研究成果: Contribution to journal › Article › 査読

  • Newton Polyhedron 100%
  • Real Hypersurfaces 85%
  • Contact 57%
  • Pseudoconvex Domain 55%
  • Reinhardt Domain 33%

• Note on the number of zeros of ζ^(k)(s)

  Ge, F. & Suriajaya, A. I., 6 2021, In: Ramanujan Journal. 55, 2, p. 661-672 12 p.

  研究成果: Contribution to journal › Article › 査読

  • Selberg zeta Function 100%
  • Riemann hypothesis 77%
  • Zero 68%
  • Counting 57%
  • Derivative 41%

• Stieltjes constants of L-functions in the extended Selberg class

  Inoue, S., Eddin, S. S. & Suriajaya, A. I., 6 2021, In: Ramanujan Journal. 55, 2, p. 609-621 13 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Selberg Class 100%
  • L-function 69%
  • Laurent Expansion 45%
  • Arithmetic Functions 42%
  • Denote 40%

• The error term in the Cesàro mean of the prime pair singular series

  Goldston, D. A. & Suriajaya, A. I., 10 2021, In: Journal of Number Theory. 227, p. 144-157 14 p.

  研究成果: Contribution to journal › Article › 査読

  • Twin primes 100%
  • Error term 69%
  • Asymptotic Formula 64%
  • Series 42%

• Twisted Donaldson invariants

  Kato, T., Sasahira, H. & Wang, H. A. N. G., 2021, (受理済み/印刷中) In: Mathematical Proceedings of the Cambridge Philosophical Society.

  研究成果: Contribution to journal › Article › 査読

  • Fundamental Group 100%
  • 4-manifold 78%
  • Invariant 57%
  • Yang-Mills Theory 47%
  • Picard Group 43%
• 2020

  Algebraic independence results for the values of the theta-constants and some identities

  Elsner, C., Kaneko, M. & Tachiya, Y., 3 2020, In: Journal of the Ramanujan Mathematical Society. 35, 1, p. 71-80 10 p.

  研究成果: Contribution to journal › Article › 査読

  • Independence Results 100%
  • Algebraic Independence 97%
  • Transcendental number 49%
  • Algebraic number 40%
  • Ramanujan 36%
  1 被引用数 (Scopus)

• A sum of negative degrees of the gaps values in 2 and 3-generated numerical semigroups

  Fel, L. G., Komatsu, T. & Suriajaya, A. I., 2020, In: Annales Mathematicae et Informaticae. 52, p. 85-95 11 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Hurwitz zeta Function 100%
  • Numerical Semigroup 98%
  • Power series 69%
  • Set theory 47%
  • Integer 38%

• Category of mixed plectic hodge structures

  Bannai, K., Hagihara, K., Kobayashi, S., Yamada, K., Yamamoto, S. & Yasuda, A. S., 2020, In: Asian Journal of Mathematics. 24, 1, p. 31-76 46 p.

  研究成果: Contribution to journal › Article › 査読

  • Mixed Hodge Structure 100%
  • Group Extension 43%
  • Filtration 33%
  • Partial 23%

• Double variational principle for mean dimension with potential

  Tsukamoto, M., 2 12 2020, In: Advances in Mathematics. 361, 106935.

  研究成果: Contribution to journal › Article › 査読

  • Variational Principle 100%
  • Dynamical system 38%
  • Geometric Measure Theory 37%
  • Topological Pressure 36%
  • Rate-distortion 35%
  3 被引用数 (Scopus)

• Embedding minimal dynamical systems into Hilbert cubes

  Gutman, Y. & Tsukamoto, M., 7 1 2020, In: Inventiones Mathematicae. 221, 1, p. 113-166 54 p.

  研究成果: Contribution to journal › Article › 査読

  • Hilbert Cube 100%
  • Dynamical system 53%
  • Harmonic Analysis 25%
  • Coding 23%
  • Count 21%
  2 被引用数 (Scopus)

• Functional Central Limit Theorems and P(ϕ)₁-Processes for the Relativistic and Non-Relativistic Nelson Models

  Gheryani, S., Hiroshima, F., Lőrinczi, J., Majid, A. & Ouerdiane, H., 6 1 2020, In: Mathematical Physics Analysis and Geometry. 23, 2, 18.

  研究成果: Contribution to journal › Article › 査読

  • Functional Central Limit Theorem 100%
  • functionals 73%
  • martingales 65%
  • theorems 65%
  • regularity 40%

• Genus character L-functions of quadratic orders and class numbers

  Kaneko, M. & Mizuno, Y., 8 1 2020, In: Journal of the London Mathematical Society. 102, 1, p. 69-98 30 p.

  研究成果: Contribution to journal › Article › 査読

  • Character Formula 100%
  • Imaginary Quadratic Field 91%
  • Class number 85%
  • L-function 79%
  • Genus 60%
  1 被引用数 (Scopus)

• Higher-rank zeta functions and SL_n-zeta functions for curves

  Weng, L. & Zagier, D., 3 24 2020, In: Proceedings of the National Academy of Sciences of the United States of America. 117, 12, p. 6398-6408 11 p.

  研究成果: Contribution to journal › Article › 査読
  2 被引用数 (Scopus)

• Higher-rank zeta functions for elliptic curves

  Weng, L. & Zagier, D., 3 3 2020, In: Proceedings of the National Academy of Sciences of the United States of America. 117, 9, p. 4546-4558 13 p.

  研究成果: Contribution to journal › Article › 査読

• Meromorphy of local zeta functions in smooth model cases

  Kamimoto, J. & Nose, T., 4 1 2020, In: Journal of Functional Analysis. 278, 6, 108408.

  研究成果: Contribution to journal › Article › 査読

  • Meromorphic 100%
  • Riemann zeta function 87%
  • Smooth function 57%
  • Pole 55%
  • Real Analytic Functions 40%

• On Holomorphic Curves Tangent to Real Hypersurfaces of Infinite Type

  Kamimoto, J., 2020, (受理済み/印刷中) In: Journal of Geometric Analysis.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Holomorphic Curve 100%
  • Real Hypersurfaces 93%
  • Tangent line 71%
  • Hypersurface 64%
  • Newton Polyhedron 36%

• On polycosecant numbers

  Kaneko, M., Pallewatta, M. & Tsumura, H., 2020, In: Journal of Integer Sequences. 23, 6, p. 1-17 17 p., 20.6.4.

  研究成果: Contribution to journal › Article › 査読

  • Cosecant 100%
  • Bernoulli numbers 67%
  • Generalization 57%
  • Recurrence relation 56%
  • Duality 45%
  1 被引用数 (Scopus)

• On the asymptotic expansion of the quantum su(2) invariant at ζ = e^{4π i/r} for lens space l( p, q)

  Takata, T. & Tanaka, R., 2020, In: Kyushu Journal of Mathematics. 74, 2, p. 265-289 25 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Reidemeister Torsion 100%
  • Connection Coefficients 96%
  • Flat Connection 89%
  • Lens Space 88%
  • Square root 68%

• Quasi-derivation relations for multiple zeta values revisited

  Kaneko, M., Murahara, H. & Murakami, T., 2020, (受理済み/印刷中) In: Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg.

  研究成果: Contribution to journal › Article › 査読

  • Multiple zeta Values 100%
  • Analogue 16%
  • Operator 11%

• Symbolic dynamics in mean dimension theory

  Shinoda, M. & Tsukamoto, M., 2020, (受理済み/印刷中) In: Ergodic Theory and Dynamical Systems.

  研究成果: Contribution to journal › Article › 査読

  • Dimension Theory 100%
  • Symbolic Dynamics 90%
  • Subshift 88%
  • Entropy 62%
  • Hausdorff Dimension 36%

• Tan-concavity property for Lagrangian phase operators and applications to the tangent Lagrangian phase flow

  Takahashi, R., 12 2020, In: International Journal of Mathematics. 31, 14, 2050116.

  研究成果: Contribution to journal › Article › 査読

  • Concavity 100%
  • Tangent line 83%
  • Yang-Mills 63%
  • Metric 41%
  • Operator 41%
  2 被引用数 (Scopus)

• The strong slope conjecture for twisted generalized whitehead doubles

  Baker, K. L., Motegi, K. & Takata, T., 2020, In: Quantum Topology. 11, 3, p. 545-608 64 p.

  研究成果: Contribution to journal › Article › 査読

  • Slope 100%
  • slopes 78%
  • Knot 31%
  • Colored Jones Polynomial 25%
  • polynomials 15%
  1 被引用数 (Scopus)

• Threshold of discrete Schrödinger operators with delta potentials on n-dimensional lattice

  Hiroshima, F., Muminov, Z. & Kuljanov, U., 2020, (受理済み/印刷中) In: Linear and Multilinear Algebra.

  研究成果: Contribution to journal › Article › 査読

  • Discrete Operators 100%
  • n-dimensional 67%
  • Eigenvalue 34%
  • Operator 12%
  1 被引用数 (Scopus)

• Upper bound for monoidal topological complexity

  Iwase, N. & Tsutaya, M., 2020, In: Kyushu Journal of Mathematics. 74, 1, p. 197-200 4 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Topological Complexity 100%
  • Simplicial Complex 77%
  • Upper bound 46%
  • Integer 37%

• Value-Distribution of the Riemann Zeta-Function Along Its Julia Lines

  Steuding, J. & Suriajaya, A. I., 11 2020, In: Computational Methods and Function Theory. 20, 3-4, p. 389-401 13 p.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Value Distribution 100%
  • Riemann zeta function 76%
  • Line 53%
  • Complex number 38%
  • Functional equation 35%
• 2019

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

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

  研究成果: Contribution to journal › Article › 査読

  • Multiple zeta Values 100%
  • Analogue 48%
  • Series 22%
  • Form 15%
  1 被引用数 (Scopus)

• Application of signal analysis to the embedding problem of Z^k -actions

  Gutman, Y., Qiao, Y. & Tsukamoto, M., 10 1 2019, In: Geometric and Functional Analysis. 29, 5, p. 1440-1502 63 p.

  研究成果: Contribution to journal › Article › 査読

  • Signal Analysis 100%
  • Embedding Problem 91%
  • Tiling 38%
  • Band-limited Functions 23%
  • Periodic Points 19%
  6 被引用数 (Scopus)

• A prime geodesic theorem for SL₃(Z)

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

  研究成果: Contribution to journal › Article › 査読

  • Geodesic 100%
  • Theorem 45%
  • Counting 32%
  • Subgroup 25%

• Arithmetic topology in Ihara theory II: Milnor invariants, dilogarithmic Heisenberg coverings and triple power residue symbols

  Hirano, H. & Morishita, M., 5 2019, In: Journal of Number Theory. 198, p. 211-238 28 p.

  研究成果: Contribution to journal › Article › 査読

  • Covering 100%
  • Topology 86%
  • Frobenius 81%
  • Invariant 68%
  • Longitude 59%
  2 被引用数 (Scopus)

• A short proof for tc(K)=4

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

  研究成果: Contribution to journal › Article › 査読

  • Topological Complexity 100%
  • Klein bottle 93%
  • Alternatives 44%
  • Denote 43%
  1 被引用数 (Scopus)

• DAHA and skein algebra of surfaces: double-torus knots

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

  研究成果: Contribution to journal › Article › 査読

  • Affine Hecke Algebra 100%
  • Torus knot 93%
  • algebra 69%
  • Algebra 40%
  • polynomials 24%
  1 被引用数 (Scopus)

• Nonpolar singularities of local zeta functions in some smooth case

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

  研究成果: Contribution to journal › Article › 査読

  • Riemann zeta function 100%
  • Singularity 74%
  • Real Analytic Functions 46%
  • Asymptotic Limit 42%
  • Meromorphic Function 35%
  1 被引用数 (Scopus)

• Note on character varieties and cluster algebras

  Hikami, K., 2019, In: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 15, 003.

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Character Variety 100%
  • Cluster Algebra 92%
  • algebra 68%
  • Cubic Surface 32%
  • Poisson Algebra 30%
  1 被引用数 (Scopus)

• 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., 8 1 2019, In: Communications in Mathematical Physics. 370, 1, p. 151-204 54 p.

  研究成果: Contribution to journal › Article › 査読

  • Reidemeister Torsion 100%
  • torsion 66%
  • Asymptotic Expansion 58%
  • Square root 51%
  • Semiclassical Approximation 50%
  2 被引用数 (Scopus)
• 2018

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

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

  研究成果: Contribution to journal › Article › 査読

  • Multiple zeta Values 100%
  • Regularization 63%
  • theorems 41%
  • Linear Relation 29%
  • Star 22%
  12 被引用数 (Scopus)

• A proof of Hobson’s formula with the Euler operator

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

  研究成果: Contribution to journal › Article › 査読

  • Euler 100%
  • Operator 54%

• Determinants of Laplacians on Hilbert modular surfaces

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

  研究成果: Contribution to journal › Article › 査読

  • Hilbert 100%
  • Determinant 94%
  • Real Quadratic Fields 73%
  • Modular Group 65%
  • Riemann zeta function 52%

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

  Tsujii, M., 2018, In: Journal of the Mathematical Society of Japan. 70, 2, p. 757-821 65 p.

  研究成果: Contribution to journal › Article › 査読

  • Anosov Flow 100%
  • Three-dimension 67%
  • Closed 41%
  • Subset 39%
  9 被引用数 (Scopus)

• Genericity of interactions with potentials being Morse functions

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

  研究成果: Contribution to journal › Article › 査読

  • Morse Function 100%
  • Genericity 94%
  • Potential Function 82%
  • Interaction 54%
  • Nearest Neighbor 52%

• MULTI-POLY-BERNOULLI NUMBERS AND RELATED ZETA FUNCTIONS

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

  研究成果: Contribution to journal › Article › 査読

  • Bernoulli numbers 100%
  • Riemann zeta function 79%
  • Multiple zeta Values 38%
  • Integer 29%
  • Linear Combination 24%
  8 被引用数 (Scopus)

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

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

  研究成果: Contribution to journal › Article › 査読

  Open Access

  • Bernoulli Polynomials 100%
  • Duality 67%
  • Bernoulli numbers 50%
  • Riemann zeta function 20%
  • Generating Function 17%
  2 被引用数 (Scopus)

• On certain l-functions for deformations of knot group representations

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

  研究成果: Contribution to journal › Article › 査読

  • Knot Group 100%
  • Group Representation 83%
  • L-function 50%
  • Module 48%
  • Knot 43%
  1 被引用数 (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, In: Research in Number Theory. 4, 1, 7.

  研究成果: Contribution to journal › Article › 査読

  • Number field 100%
  • Invariant 59%
  • Galois Cohomology 29%
  • Ramification 24%
  • Analogy 19%
  3 被引用数 (Scopus)

• The error term in the prime orbit theorem for expanding semiflows

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

  研究成果: Contribution to journal › Article › 査読

  • Semiflow 100%
  • Error term 82%
  • Periodic Orbits 76%
  • Orbits 72%
  • Orbit 62%
  2 被引用数 (Scopus)

• The isometry groups of compact manifolds with almost negative Ricci curvature

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

  研究成果: Contribution to journal › Article › 査読

  • Isometry Group 100%
  • Negative Curvature 97%
  • Ricci Curvature 89%
  • Compact Manifold 76%
  • Riemannian Manifold 68%
  1 被引用数 (Scopus)

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

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

  研究成果: Contribution to journal › Article › 査読

  • Invariance 100%
  • Homology 51%
  • Closed 33%
  • Invariant 32%
  • Generalise 31%