KANEKO Hajime

Affiliation

Institute of Pure and Applied Sciences

Official title

Associate Professor

URL

http://math.tsukuba.ac.jp/~kanekoha/index.html

Research fields


Algebra

Research keywords


Sum of digits
Diophantine inequality
Mahler's Z-number
Beta expansion
Numeration system
Lagrange spectrum
Salem number
Pisot number
Limit points of fractional parts
Algebraic independence
more...

Research projects


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	2024-04 -- 2028-03	KANEKO Hajime	Japan Society for the Promotion of Science/Grant-in-Aid for Scientific Research(C)	3,770,000Yen
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	2019-04 -- 2024-03	KANEKO Hajime	Japan Society for the Promotion of Science (JSPS)/Grant-in-Aid for Scientific Research (C)	3,250,000Yen
Randomness of sequences and its applications to transcendental number theory	2015-04 -- 2019-03	KANEKO Hajime	Japan Society for the Promotion of Science/Grant-in-Aid for Young Scientists(B)	2,860,000Yen

Academic background


2007-04 -- 2010-03	Kyoto university Graduate school of science Division of mathematics and mathematical analysis Doctoral program
2005-04 -- 2007-03	Kyoto university Graduate school of science Division of mathematics and mathematical analysis Master course
2001-04 -- 2005-03	Keio university Science and technology Department of mathematics

Degree


2010-03	Doctor of Science	Kyoto university

Academic societies


2009-01 -- (current)	日本応用数理学会
2008-10 -- (current)	日本数学会

Honors & Awards


2019-12	若手教員奨励賞
2013-09	2013年度日本数学会賞建部賢弘賞奨励賞

Articles

Markoff-Lagrange spectrum of one-sided shifts
Kaneko Hajime; Steiner Wolfgang
MATHEMATIKA/70(3), 2024-07
On the binary digits of n and n^2
Aloui Karam; Jamet Damien; Kaneko Hajime; Kopecki Steffe...
THEORETICAL COMPUTER SCIENCE/939/pp.119-139, 2023-01
Curious congruences for cyclotomic polynomials
茂樹秋山; Kaneko Hajime
RESEARCH IN NUMBER THEORY/8(4), 2022
The digit exchanges in the rotational beta expansions of algebraic numbers
Kaneko Hajime; 川島誠
JOURNAL OF NUMBER THEORY/241/pp.430-449, 2022
Products of integers with few nonzero digits
Kaneko Hajime; Stoll Thomas
Uniform Distribution Theory, 2021
Multiplicative analogue of Markoff-Lagrange spectrum and Pisot numbers
Kaneko Hajime; 茂樹秋山
Advances in Mathematics/380, 2021-03
Generic point equivalence and Pisot numbers
Kaneko Hajime; 茂樹秋山; KIM DONG HAN
Ergodic Theory and Dynamical Systems/40(12)/pp.3169-3180, 2019-07
On the digits in the base-b expansion of smooth numbers
Kaneko Hajime; Bugeaud Yann
RIMS Kokyuroku/pp.97-103, 2018
Hensel’s lemma for general continuous functions
Kaneko Hajime; Stoll Thomas
Indagationes Mathematicae/30(4)/pp.610-622, 2019
On Perfect Powers in Linear Recurrence Sequences of Integers
Bugeaud Yann; Kaneko Hajime
Kyushu Journal of Mathematics/73(2)/pp.221-227, 2019
CiNii
Corona Limits of Tilings: Periodic Case
Akiyama Shigeki; Caalim Jonathan; Imai Katsunobu; Kaneko ...
DISCRETE & COMPUTATIONAL GEOMETRY/61(3)/pp.626-652, 2019-04
On the digital representation of smooth numbers
Bugeaud Yann; Kaneko Hajime
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY/165(3)/pp.533-540, 2018-11
On subwords in the base-q expansion of polynomial and exponential functions
金子元; Thomas Stoll
Integers, 2018
Arithmetical properties of real numbers related to beta-expansions
金子元
Functiones et Approximatio Commentarii Mathematici/60(2)/pp.195-226, 2019
Arithmetical properties of the values of power series
Kaneko Hajime
RIMS Kôkyûroku/pp.11-19, 2017-01
Arithmetical properties of p-adic numbers related to numerical systems
Kaneko Hajime
RIMS Kôkyûroku/pp.131-138, 2016-12
Algebraic independence of the values of power series with unbounded coefficients
Kaneko Hajime
Arkiv for Matematik/55(1)/pp.61-87, 2017-09
Bernoulli-Carlitz and Cauchy-Carlitz numbers with Stirling-Carlitz numbers
Kaneko Hajime; Komatsu Takao
RIMS Kôkyûroku Bessatsu/B72/pp.23-35, 2018
On the number of nonzero digits in the beta-expansions of algebraic numbers
Kaneko Hajime
Rendiconti del Seminario Matematico della Universita di Padova/136/pp.205-223, 2016
On the binary digits of algebraic numbers
Kaneko Hajime
Journal of the Australian Mathematical Society/pp.233-244, 2010
On normal numbers and powers of algebraic numbers
Kaneko Hajime
Integers/pp.31-64, 2010
On the fractional parts of powers of algebraic numbers
Kaneko Hajime
RIMS Kôkyûroku Bessatsu/pp.127-136, 2012-08
On the number of digit changes in base-b expansions of algebraic numbers
金子元
Uniform Distribution Theory/pp.141-168, 2012
Algebraic independence of real numbers with low density of nonzero digits
Kaneko Hajime
ACTA ARITHMETICA/pp.325-351, 2012
Applications of numerical systems to transcendental number theory
Kaneko Hajime
RIMS Kôkyûroku Bessatsu/pp.175-186, 2014-06
more...

Conference, etc.

Multiplicative version of Markoff-Lagrange spectrum and geometric sequences
金子元
Mathematics Seminar/2024-03-22--2024-03-22
Markoff and Lagrange spectra on one-sided shift spaces with cylinder orders
金子元
Diophantine Analysis and Related Fields 2024/2024-03-04--2024-03-06
片側シフト空間におけるMarkoff-Lagrangeスペクトラムについて
金子元
数論セミナー/2024-02-16--2024-02-16
Analogue of Markoff and Lagrange spectra on one-sided shift spaces
金子元
ワークショップ「数論とエルゴード理論」/2024-02-10--2024-02-12
Lagrange spectrum in ordered shift spaces
KANEKO Hajime
Nancy-Metz number theory seminar/2023-10-12--2023-10-12
代数的数のRotational beta展開におけるdigitに関して
金子元
東北確率論セミナー/2023-06-23--2023-06-23
Analogue of the Markoff-Lagrange spectrum and uniform distribution theory
KANEKO Hajime
Numeration 2023/2023-05-22--2023-05-26
On the Diophantine equations related to the binary expansions of integers
金子元
Number Theory and Ergodic Theory/2023-02-12--2023-02-12
数のb進展開の一般化と数論への応用
金子元
第10回筑波大学RCMSサロン「数系と折り紙の数学」/2022-12-08--2022-12-08
New relation for the coefficients of cyclotomic polynomials
Kaneko Hajime
Analytic Number Theory and Related Topics/2022-10-12--2022-10-12
Multiplicative analogue of the Lagrange spectrum related to linear recurrences
金子元
DARFセミナー/2022-05-14--2022-05-14
Multiplicative analogue of Markoff-Lagrange spectrum related to geometric progressions
金子元
Recent Progress in Ergodic Theory/2022-02-16--2022-02-18
On the sum of digits in the binary expansion of the products of integers
金子元
Analytic Number Theory and Related Topics/2021-10-12--2021-10-15
Products of integers with few nonzero digits in binary expansion
金子元
日本数学会2021年度年会/2021-03-18--2021-03-18
Analogy of Lagrange spectrum related to geometric progressions
Kaneko Hajime
One World Numeration Seminar/2020-07-07--2020-07-07
Hensel's lemma and application for the base-b expansions of integers
Kaneko Hajime
Number Theory and Ergodic Theory/2020-2-8--2020-2-10
Analogy with the Lagrange spectrum for the powers of quadratic Pisot unit
Kaneko Hajime
Equidistribution: Arithmetic, Computational and Probabilistic Aspects/2019-4-29--2019-5-17
Comparison of normality between different numerical systems
金子元
日本数学会2019年度年会/2019-03-17--2019-03-20
Analogy with the Lagrange spectrum for geometric sequences
Kaneko Hajime
Keio Dynamics Day 2019/2019-03-15--2019-03-15
Analogy of the Lagrange spectrum for powers of quadratic Pisot units
Kaneko Hajime
Diophantine Analysis and Related Fields 2019/2019-03-07--2019-03-09
Uniform distribution theory related to beta expansion and geometric sequences
金子元
第12回ゼータ若手研究集会/2019-02-17--2019-02-20
Comparison of generic points of measure preserving systems
Kaneko Hajime
数論とエルゴード理論/2019-02-09--2019-02-11
On the transcendence of power series at algebraic integer points
金子元
解析的整数論とその周辺/2018-10-29--2018-10-31
ベキ級数に代数的整数を代入した値の超越性
金子元
日本数学会2018年度秋季総合分科会/2018-09-24--2018-09-27
Diophantine approximation and base-b expansion of smooth numbers
Kaneko Hajime
Diophantine Approximation and Transcendence/2018-09-10--2018-09-14
more...

Teaching


2024-12 -- 2025-02	Frontier of Mathematics: Challenges against unsolved problems	University of Tsukuba.
2024-10 -- 2025-02	Research in Algebra VA	University of Tsukuba.
2024-10 -- 2024-12	Linear Algebra 2	University of Tsukuba.
2024-04 -- 2024-08	Research in Algebra IB	University of Tsukuba.
2024-04 -- 2024-08	Research in Algebra VB	University of Tsukuba.
2024-10 -- 2025-02	Research in Algebra IA	University of Tsukuba.
2024-04 -- 2024-08	Research in Algebra IIIB	University of Tsukuba.
2024-10 -- 2025-02	Research in Algebra IIA	University of Tsukuba.
2024-10 -- 2025-02	Research in Algebra IVA	University of Tsukuba.
2024-10 -- 2025-02	Research in Algebra IIIA	University of Tsukuba.
more...

Professional activities


2023-04 -- 2024-03		自然系学類計算機委員会
2022-04 -- 2024-03		障害学生支援に関わるダイバーシティ・アクセシビリティ担当教員
2021-04 -- 2023-03		年次報告編集
2021-04 -- 2023-03		スポーツデー運営委員
2021-04 -- 2023-03		計算機委員会
2020-04 -- 2024-03		クラス担任

Other activities


2024-03 -- 2024-03	Diophantine Analysis and Related Fields 2024を共同主催した。
2024-02 -- 2024-02	Workshop「数論とエルゴード理論」を共同主催した。
2023-02 -- 2023-02	Workshop「数論とエルゴード理論」を共同主催した。
2022 -- 2023	2023年2月出版「数学の時間　学校の学びを世界で活かせ」の一部にインタビュー記事が記載される。
2021 -- (current)	One World Numeration Seminarの共同主催者の1人として活動をする。
2020-08 -- 2020-08	2020年筑波大学オンライン説明会における模擬授業を行った.
2020-12 -- (current)	Darfセミナーの共同世話人の1人として活動をする。
2019-03 -- 2019-03	研究集会「Diophantine Analysis and Related Fields 2019」のlocal organizerを務めた。
2016-08 -- 2016-08	副オーガナイザーとして2016年度八王子数論セミナーをオーガナイズした。
2014-09 -- 2014-09	２０１４年度八王子数論セミナーを若林功氏と共同でオーガナイズした。

(Last updated: 2024-10-21)