Kaneko Hajime
- Affiliation
- Faculty of Pure and Applied Sciences
- Official title
- Assistant Professor
- URL
- 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
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 -- 2023-03 日本学術振興会/基盤研究(C) 3,250,000Yen 種々の数列のランダム性、およびその超越数論への応用 2015-04 -- 2019-03 金子 元 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
- 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 - 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 - Explicit algebraic dependence formulae for infinite products related with Fibonacci and Lucas numbers
Kaneko Hajime; Takeshi Kurosawa; Yohei Tachiya; Taka-aki Tanaka
ACTA ARITHMETICA/168(2)/pp.161-186, 2015 - On the beta-expansions of 1 and algebraic numbers for a Salem number beta
Kaneko Hajime
Ergodic Theory and Dynamical Systems/pp.1243-1262, 2015-06
- Products of integers with few nonzero digits
- Conference, etc.
- 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 - 代数的数のベータ展開におけるdigit変化数について
金子 元
日本数学会2018年度年会/2018-03-18--2018-03-21 - On the digital expansion of algebraic numbers
Kaneko Hajime
Diophantine Analysis and Related Fields 2018/2018-03-01--2018-03-03 - 代数的数のdigit展開に関する最近の展望
金子 元
Workshop「数論とエルゴード理論」/2018-02--2018-02 - On the digits in the base-b expansion of smooth numbers
Kaneko Hajime
Analytic Number Theory and Related Areas/2017-10-30--2017-11-01 - On the number of nonzero digits of smooth numbers
Kaneko Hajime
Journees Arithmetiques/2017-07-03--2017-07-07 - 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
Kaneko Hajime
日本数学会2017年度秋季総合分科会/2017-09-11--2017-09-14 - Algebraic independence of the values of power series with unbounded coefficients
Kaneko Hajime
Journee d'Approximation Diophantienne/2016-12-01--2016-12-01 - Algebraic independence of real numbers related to beta expansion and beta representation
Kaneko Hajime
Normal Numbers: Arithmetic, Computational and Probabilistic Aspects/2016-11-14--2016-11-18 - Algebraic independence of real numbers related to beta expansion
金子 元
Workshop「数論とエルゴード理論」/2016-02-06--2016-02-08 - Arithmetical properties of the values of power series
Kaneko Hajime
Analytic Number Theory and Related Areas/2015-11-04--2015-11-06 - Arithmetical properties of power series related to β-expansion
Kaneko Hajime
29th Journees Arithmetiques/2015-07-06--2015-07-10 - more...
- Multiplicative analogue of Markoff-Lagrange spectrum related to geometric progressions
- Teaching
2022-10 -- 2023-02 Research in Algebra IIA University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IB University of Tsukuba. 2022-10 -- 2023-02 Research in Algebra IA University of Tsukuba. 2022-10 -- 2023-02 Algebra IB University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IIA University of Tsukuba. 2022-04 -- 2022-08 Algebra I University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IA University of Tsukuba. 2022-10 -- 2023-02 Research in Algebra IB University of Tsukuba. 2022-04 -- 2022-08 Research in Algebra IIB University of Tsukuba. 2022-11 -- 2023-02 Introduction to the Study of Graduation Thesis University of Tsukuba. more... - Other activities
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: 2023-02-19)