Kaneko Hajime 金子元

Researcher Number	10706724
Other IDs
Affiliation (Current)	2025: 筑波大学, 数理物質系, 准教授
Affiliation (based on the past Project Information) *help	2023 – 2024: 筑波大学, 数理物質系, 准教授 2015 – 2022: 筑波大学, 数理物質系, 助教
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra
Keywords	Principal Investigator 数系 / 一様分布論 / sum of digit / ディオファントス近似 / 解析数論 / 正規数 / 線形回帰数列 / ベータ展開 / Pisot数 / Borel予想 … More / 超越数論 / エルゴード理論 / 加法数論 / 多次元数系 / 小数部分 / ディオファントス方程式 / 代数的整数 / 等比数列 / 記号力学系 / シフト空間 / 円分多項式 / ラグランジュスペクトラム / 超越数 / 代数的独立 / Pisot数, Salem数 / 等比数列の小数部分 / 結晶 / Cauchy数 / Newton法 / Smooth number / 代数的独立性 / Salem数 / 数系におけるdigit Less

Digitのパターン解析および超越性と代数的独立性への応用Principal Investigator
- Principal Investigator
  
  金子元
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Application of additive number theory to the asymptotic behavior of digits in multidimensional numeration systemsPrincipal Investigator
- Principal Investigator
  
  Kaneko Hajime
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  University of Tsukuba
Randomness of sequences and its applications to transcendental number theoryPrincipal Investigator
- Principal Investigator
  
  Kaneko Hajime
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  University of Tsukuba

All 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015

All Journal Article Presentation

[Journal Article] Markoff-Lagrange spectrum of one-sided shifts2024
- Author(s)
  Hajime Kaneko, Wolfgang Steiner
- Journal Title
  
  Mathematika
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Journal Article] On the binary digits of n and n22023
- Author(s)
  Aloui Karam、Jamet Damien、Kaneko Hajime、Kopecki Steffen、Popoli Pierre、Stoll Thomas
- Journal Title
  
  Theoretical Computer Science
  
  Volume: 939 Pages: 119-139
- DOI
  10.1016/j.tcs.2022.10.018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Journal Article] The digit exchanges in the rotational beta expansions of algebraic numbers2022
- Author(s)
  Kaneko Hajime、Kawashima Makoto
- Journal Title
  
  Journal of Number Theory
  
  Volume: 241 Pages: 430-449
- DOI
  10.1016/j.jnt.2022.04.002
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03439
[Journal Article] Products of integers with few nonzero digits2022
- Author(s)
  Hajime Kaneko, Thomas Stoll
- Journal Title
  
  Uniform Distribution Theory
  
  Volume: 17 Issue: 1 Pages: 11-28
- DOI
  10.2478/udt-2022-0006
- Peer Reviewed / Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Journal Article] Curious congruences for cyclotomic polynomials2022
- Author(s)
  Akiyama Shigeki、Kaneko Hajime
- Journal Title
  
  Research in Number Theory
  
  Volume: 8 Issue: 4
- DOI
  10.1007/s40993-022-00410-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-20K03528, KAKENHI-PROJECT-17K05159
[Journal Article] Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers2021
- Author(s)
  Shigeki Akiyama, Hajime Kaneko
- Journal Title
  
  Advances in Mathematics
  
  Volume: 380 Pages: 107547-107547
- DOI
  10.1016/j.aim.2020.107547
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-20K03528
[Journal Article] Corona limits of tilings: Periodic case2019
- Author(s)
  S Akiyama, J Caalim, K Imai, H Kaneko
- Journal Title
  
  Discrete & Computational Geometry
  
  Volume: 61(3) Issue: 3 Pages: 626-652
- DOI
  10.1007/s00454-018-0033-x
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K00015, KAKENHI-PROJECT-17K05159, KAKENHI-PROJECT-15K17505, KAKENHI-PROJECT-17H02849
[Journal Article] Generic point equivalence and Pisot numbers2019
- Author(s)
  AKIYAMA SHIGEKI、KANEKO HAJIME、KIM DONG HAN
- Journal Title
  
  Ergodic Theory and Dynamical Systems
  
  Volume: － Issue: 12 Pages: 3169-3180
- DOI
  10.1017/etds.2019.46
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439, KAKENHI-PROJECT-17H02849
[Journal Article] Hensel’s lemma for general continuous functions2019
- Author(s)
  Hajime Kaneko, Thomas Stoll
- Journal Title
  
  Indagationes Mathematicae
  
  Volume: 印刷中 Issue: 4 Pages: 610-622
- DOI
  10.1016/j.indag.2019.02.004
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] On Perfect Powers in Linear Recurrence Sequences of Integers2019
- Author(s)
  Yann Bugeaud, Hajime Kaneko
- Journal Title
  
  Kyushu Journal of Mathematics
  
  Volume: 印刷中
- NAID
  130007871358
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] On subwords in the base-q expansion of polynomial and exponential functions2018
- Author(s)
  Hajime Kaneko and Thomas Stoll
- Journal Title
  
  Integers
  
  Volume: 18A
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] On the digits in the base-b expansion of smooth numbers2018
- Author(s)
  Yann Bugeaud, Hajime Kaneko
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2092 Pages: 97-103
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] Arithmetical properties of real numbers related to beta-expansions2018
- Author(s)
  Hajime Kaneko
- Journal Title
  
  Functiones et Approximatio Commentarii Mathematici
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] On the digital representation of smooth numbers2018
- Author(s)
  Yann Bugeaud and Hajime Kaneko
- Journal Title
  
  Mathematical Proceedings of the Cambridge Philosophical Society
  
  Volume: 印刷中
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers2017
- Author(s)
  Hajime Kaneko, Takao Komatsu
- Journal Title
  
  「代数的整数論とその周辺２０１５」別冊(RIMS Kokyuroku Bessatsu)
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] Algebraic independence of the values of power series with unbounded coefficients2017
- Author(s)
  Hajime Kaneko
- Journal Title
  
  Arkiv for Matematik
  
  Volume: 55 Pages: 61-87
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] Cauchy-Carlitz numbers2016
- Author(s)
  Hajime Kaneko, Takao Komatsu
- Journal Title
  
  Journal of Number Theory
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Journal Article] On the number of nonzero digits in the beta-expansions of algebraic numbers2016
- Author(s)
  Hajime Kaneko
- Journal Title
  
  Rendiconti del Seminario Matematico della Universita di Padova
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Markoff and Lagrange spectra on one-sided shift spaces with cylinder orders2024
- Author(s)
  金子元
- Organizer
  Diophantine Analysis and Related Fields 2024
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Multiplicative version of Markoff-Lagrange spectrum and geometric sequences2024
- Author(s)
  金子元
- Organizer
  Mathematics Seminar (at Dongguk University)
- Invited
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogue of Markoff and Lagrange spectra on one-sided shift spaces2024
- Author(s)
  金子元
- Organizer
  ワークショップ「数論とエルゴード理論」
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] 片側シフト空間におけるMarkoff-Lagrangeスペクトラムについて2024
- Author(s)
  金子元
- Organizer
  数論セミナー
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] On the Diophantine equations related to the binary expansions of integers2023
- Author(s)
  金子元
- Organizer
  数論とエルゴード理論
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Lagrange spectrum in ordered shift spaces2023
- Author(s)
  金子元
- Organizer
  Nancy-Metz number theory seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogue of the Markoff-Lagrange spectrum and uniform distribution theory2023
- Author(s)
  金子元
- Organizer
  Numeration 2023
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] 代数的数のRotational beta展開におけるdigitに関して2023
- Author(s)
  金子元
- Organizer
  東北確率論セミナー
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Multiplicative analogue of Markoff-Lagrange spectrum related to geometric progressions2022
- Author(s)
  金子元
- Organizer
  エルゴード理論の最近の進展(京都大学数理解析研究所)
- Invited
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] New relation for the coefficients of cyclotomic polynomials2022
- Author(s)
  金子元
- Organizer
  解析的整数論とその周辺
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Multiplicative analogue of the Lagrange spectrum related to linear recurrences2022
- Author(s)
  金子元
- Organizer
  DARFセミナー
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Products of integers with few nonzero digits in binary expansion2021
- Author(s)
  金子元
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] 整数の積の2進展開に関する0でないdigitの個数について2021
- Author(s)
  金子元
- Organizer
  解析的整数論とその周辺(京都大学数理解析研究所)
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogy of Lagrange spectrum related to geometric progressions2020
- Author(s)
  金子元
- Organizer
  One World Numeration Seminar
- Invited
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Hensel's lemma and application for the base-b expansions of integers2020
- Author(s)
  金子元
- Organizer
  Number Theory and Ergodic Theory
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogy with the Lagrange spectrum for geometric progressions2019
- Author(s)
  金子元
- Organizer
  seminaire(ロレーヌ大学)
- Invited
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogy of the Lagrange spectrum for powers of quadratic Pisot units2019
- Author(s)
  Hajime Kaneko
- Organizer
  Diophantine Analysis and Related Fields 2019(筑波大学)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Analogy with the Lagrange spectrum for the powers of quadratic Pisot unit2019
- Author(s)
  金子元
- Organizer
  Equidistribution: Arithmetic, Computational and Probabilistic Aspects
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03439
[Presentation] Analogy with the Lagrange spectrum for geometric sequences2019
- Author(s)
  Hajime Kaneko
- Organizer
  Keio Dynamics Day 2019(慶應義塾大学)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Comparison of generic points of measure preserving systems2019
- Author(s)
  Hajime Kaneko
- Organizer
  数論とエルゴード理論(金沢大学サテライトプラザ)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Comparison of normality between different numerical systems2019
- Author(s)
  Hajime Kaneko
- Organizer
  日本数学会2019年度年会(東京工業大学)
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Uniform distribution theory related to beta expansion and geometric sequences2019
- Author(s)
  Hajime Kaneko
- Organizer
  第12回ゼータ若手研究集会(名古屋大学)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] 代数的数のベータ展開におけるdigit変化数について2018
- Author(s)
  金子元
- Organizer
  日本数学会2018年度年会
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] b進展開に関するBorelの予想および超越数論への応用2018
- Author(s)
  Hajime Kaneko
- Organizer
  慶應超越数論セミナー(慶應義塾大学)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] ベキ級数に代数的整数を代入した値の超越性2018
- Author(s)
  Hajime Kaneko
- Organizer
  日本数学会2018年度秋季総合分科会(岡山大学)
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] On the transcendence of power series at algebraic integer points2018
- Author(s)
  Hajime Kaneko
- Organizer
  解析的整数論とその周辺(京都大学数理解析研究所)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] On the digital expansion of algebraic numbers2018
- Author(s)
  Hajime Kaneko
- Organizer
  Diophantine Analysis and Related Fields 2018
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] 代数的数のdigit展開に関する最近の展望2018
- Author(s)
  金子元
- Organizer
  Workshop「数論とエルゴード理論」
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] 非負整数係数ベキ級数の代数的整数点における超越性2018
- Author(s)
  Hajime Kaneko
- Organizer
  慶應超越数論セミナー(慶應義塾大学)
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Diophantine approximation and base-b expansion of smooth numbers2018
- Author(s)
  Hajime Kaneko
- Organizer
  Diophantine Approximation and Transcendence(CIRM, Marseille)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] On the digits in the base-b expansion of smooth numbers2017
- Author(s)
  Hajime Kaneko
- Organizer
  Analytic Number Theory and Related Areas
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] 整数及び小数のdigit展開における一様分布論の最近の展開2017
- Author(s)
  金子元
- Organizer
  日本数学会2017年度秋季総合分科会
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] On the number of nonzero digits of smooth numbers2017
- Author(s)
  Hajime Kaneko
- Organizer
  Journees Arithmetiques
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Algebraic independence of real numbers related to beta expansion and beta representation2016
- Author(s)
  Hajime Kaneko
- Organizer
  Normal Numbers: Arithmetic, Computational and Probabilistic Aspects
- Place of Presentation
  Vienna大学, Austria, Vienna
- Year and Date
  2016-11-18
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Algebraic independence of real numbers related to beta expansion2016
- Author(s)
  Kaneko Hajime
- Organizer
  Workshop「数論とエルゴード理論」
- Place of Presentation
  金沢大学(石川県金沢市)
- Year and Date
  2016-02-07
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Algebraic independence of the values of power series with unbounded coefficients2016
- Author(s)
  Hajime Kaneko
- Organizer
  Journee d'Approximation Diophantienne
- Place of Presentation
  Lorraine大学, France, Vandoeuvre-Les-Nancy
- Year and Date
  2016-12-01
- Invited
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Arithmetical properties of power series related to β-expansion2015
- Author(s)
  Kaneko Hajime
- Organizer
  Journees Arithmetiques 2015
- Place of Presentation
  Debrecen大学(ハンガリー)
- Year and Date
  2015-07-07
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505
[Presentation] Arithmetical properties of the values of power series2015
- Author(s)
  Kaneko Hajime
- Organizer
  Analytic Number Theory and Related Areas
- Place of Presentation
  京都大学(京都府京都市)
- Year and Date
  2015-11-04
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K17505

1. 今井勝喜

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

Kaneko Hajime 金子 元

Research Projects

Research Products

Co-Researchers

Digitのパターン解析および超越性と代数的独立性への応用Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Application of additive number theory to the asymptotic behavior of digits in multidimensional numeration systemsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Randomness of sequences and its applications to transcendental number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Markoff-Lagrange spectrum of one-sided shifts2024

Author(s)

Journal Title

Data Source

[Journal Article] On the binary digits of n and n22023

Author(s)

Journal Title

DOI

Data Source

[Journal Article] The digit exchanges in the rotational beta expansions of algebraic numbers2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Products of integers with few nonzero digits2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Curious congruences for cyclotomic polynomials2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Corona limits of tilings: Periodic case2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Generic point equivalence and Pisot numbers2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Hensel’s lemma for general continuous functions2019

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On Perfect Powers in Linear Recurrence Sequences of Integers2019

Author(s)

Journal Title

NAID

Data Source

[Journal Article] On subwords in the base-q expansion of polynomial and exponential functions2018

Author(s)

Journal Title

Data Source

[Journal Article] On the digits in the base-b expansion of smooth numbers2018

Author(s)

Journal Title

Data Source

[Journal Article] Arithmetical properties of real numbers related to beta-expansions2018

Kaneko Hajime 金子元