Kaneko Hajime

Profile Information

Affiliation: University of Tsukuba

J-GLOBAL ID: 201501009386931210
researchmap Member ID: B000250295

External link: https://kaken.nii.ac.jp/d/r/10706724.ja.html

Research Interests

Research Areas

Natural sciences / Algebra /

Research History

Aug, 2023 - Present

Graduate School of Pure and Applied Sciences, University of Tsukuba
Jul, 2014 - Jul, 2023

Graduate School of Pure and Applied Sciences, University of Tsukuba

Education

Apr, 2007 - Mar, 2010

数学・数理解析専攻博士後期課程, 理学研究科, 京都大学大学院
Apr, 2005 - Mar, 2007

数学・数理解析専攻修士課程, 理学研究科, 京都大学大学院
Apr, 2001 - Mar, 2005

Department of Mathematics, Faculty of Science and Technology, Keio University

Awards

2013年度日本数学会賞建部賢弘賞奨励賞

金子元

Papers

On the binary digits of n and n2

Karam Aloui, Damien Jamet, Hajime Kaneko, Steffen Kopecki, Pierre Popoli, Thomas Stoll

Theoretical Computer Science, 939 119-139, Jan, 2023 Peer-reviewed
Curious congruences for cyclotomic polynomials

Shigeki Akiyama, Hajime Kaneko

Research in Number Theory, 8(4), Nov 15, 2022 Peer-reviewed
The digit exchanges in the rotational beta expansions of algebraic numbers

Hajime Kaneko, Makoto Kawashima

Journal of Number Theory, May, 2022 Peer-reviewed
Products of integers with few nonzero digits

Hajime Kaneko, Thomas Stoll

Uniform Distribution Theory, 17 11-28, 2022 Peer-reviewed
Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers

Shigeki Akiyama, Hajime Kaneko

Advances in Mathematics, 380 107547-107547, Mar, 2021 Peer-reviewed
Generic point equivalence and Pisot numbers

Shigeki Akiyama, Hajime Kaneko, Dong Han Kim

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 40(12) 3169-3180, Dec, 2020 Peer-reviewed
Hensel’s lemma for general continuous functions

H. Kaneko, T. Stoll

Indagationes Mathematicae, 30(4) 610-622, Jul, 2019 Peer-reviewed
On perfect powers in linear recurrence sequences of integers

Yann Bugeaud, Kaneko Hajime

Kyushu Journal of Mathematics, 73 221-227, 2019 Peer-reviewed
Corona Limits of Tilings: Periodic Case

Akiyama Shigeki, Jonathan Caalim, Imai Katsunobu, Kaneko Hajime

Discrete & Computational Geometry, 61 626-652, 2019 Peer-reviewed
Arithmetical properties of real numbers related to beta-expansions

Kaneko Hajime

Functiones et Approximatio Commentarii Mathematici, 60 195-226, 2019 Peer-reviewed
On the digital representation of smooth numbers

Yann Bugeaud, Kaneko Hajime

Mathematical Proceedings of the Cambridge Philosophical Society, 165 533-540, 2018 Peer-reviewed
On subwords in the base-q expansion of polynomial and exponential functions

Kaneko Hajime, Thomas Stoll

Integers, 18A, 2018 Peer-reviewed
Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers

Kaneko Hajime, Komatsu Takao

RIMS Kokyuroku Bessatsu, B72 23-35, 2018 Peer-reviewed
Algebraic independence of the values of power series with unbounded coefficients

Kaneko Hajime

Arkiv for Matematik, 55 61-87, 2017 Peer-reviewed
Cauchy-Carlitz numbers

Hajime Kaneko, Takao Komatsu

JOURNAL OF NUMBER THEORY, 163 238-254, Jun, 2016 Peer-reviewed
On the number of nonzero digits in the beta-expansions of algebraic numbers

Hajime Kaneko

RENDICONTI DEL SEMINARIO MATEMATICO DELLA UNIVERSITA DI PADOVA, 136 205-223, 2016 Peer-reviewed
On the beta-expansions of 1 and algebraic numbers for a Salem number beta

Hajime Kaneko

ERGODIC THEORY AND DYNAMICAL SYSTEMS, 35(4) 1243-1262, Jun, 2015 Peer-reviewed
Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers

Hajime Kaneko, Takeshi Kurosawa, Yohei Tachiya, Taka-aki Tanaka

ACTA ARITHMETICA, 168(2) 161-186, 2015 Peer-reviewed
Applications of numerical systems to transcendental number theory

Kaneko Hajime

RIMS Kokyuroku Bessatsu, B46 175-186, Jun, 2014 Peer-reviewed
On the fractional parts of powers of algebraic numbers

Kaneko Hajime

RIMS Kokyuroku Bessatsu, B34 127-136, Aug, 2012 Peer-reviewed

Presentations

Analogue of the Markoff-Lagrange spectrum and uniform distribution theory

金子元

Numeration 2023, May 24, 2023 Invited
New relation for the coefficients of cyclotomic polynomials

金子元

解析的整数論とその周辺, Oct 12, 2022
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

金子元

解析的整数論とその周辺, Oct 15, 2021
Analogy of Lagrange spectrum related to geometric progressions

金子元

One World Numeration Seminar, Jul 7, 2020 Invited
Analogy with the Lagrange spectrum for the powers of quadratic Pisot unit

Equidistribution: Arithmetic, Computational and Probabilistic Aspects, May 2, 2019 Invited
Diophantine approximation and base-b expansion of smooth numbers

Kaneko Hajime

Diophantine Approximation and Transcendence, Sep, 2018
On the digits in the base-b expansion of smooth numbers

Kaneko Hajime

Analytic Number Theory and Related Areas, Oct, 2017
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

金子元

日本数学会2017年度秋季総合分科会, Sep, 2017
On the number of nonzero digits of smooth numbers

Kaneko Hajime

Journees Arithmetiques, Jul, 2017
Algebraic independence of the values of power series with unbounded coefficients

Kaneko Hajime

Journee d'Approximation Diophantienne, Dec, 2016
Algebraic independence of real numbers related to beta expansion and beta representation

Kaneko Hajime

Normal Numbers: Arithmetic, Computational and Probabilistic Aspects, Nov, 2016
Arithmetical properties of the values of power series

Kaneko Hajime

Analytic Number Theory and Related Areas, Nov 4, 2015
Arithmetical properties of power series related to β-expansion

Kaneko Hajime

Journees Arithmetiques, Jul 7, 2015
Algebraic independence of the values of power series at algebraic points

Kaneko Hajime

Aug, 2012
Transcendental results related to the base-b expansions of real numbers

Kaneko Hajime

Combinatorics Workshop, Aug, 2012
On the base-b expansions of algebraic irrational numbers

Kaneko Hajime

The 3rd Keio-Yonsei Workshop, May, 2012

Professional Memberships

Research Projects

多次元数系におけるdigitの漸近的挙動の解析に対する加法数論の応用

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2019 - Mar, 2023
種々の数列のランダム性、およびその超越数論への応用

科学研究費補助金若手研究(B), 日本学術振興会, Apr, 2015 - Mar, 2019

金子元

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