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Kaneko Hajime

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Affiliation
Faculty of Pure and Applied Sciences
Official title
Assistant Professor
Research fields
Algebra
Research keywords
Analytic number theory, in particular uniform distribution theory and transcendental number theory
Research projects
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 -- 2010-03Kyoto university Graduate school of science Division of mathematics and mathematical analysis Doctoral programCompleted
2005-04 -- 2007-03Kyoto university Graduate school of science Division of mathematics and mathematical analysis Master courseCompleted
2001-04 -- 2005-03Keio university Science and technology Department of mathematicsGraduated
Academic societies
-- (current)The Japan Society for Industrial and Applied Mathematics
-- (current)The Mathematical Society of Japan
Honors & Awards
2013-092013年度日本数学会賞建部賢弘賞奨励賞
Articles
  • On the digits in the base-b expansion of smooth numbers
    Kaneko Hajime
    RIMS Kokyuroku/pp.97-103, 2018
  • Hensel’s lemma for general continuous functions
    Kaneko Hajime
    Indagationes Mathematicae, 2020
  • On Perfect Powers in Linear Recurrence Sequences of Integers
    Kaneko Hajime
    Kyushu Journal of Mathematics, 2020
  • 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, 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, 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 ...
    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
Conference, etc.
  • 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
  • Algebraic independence of the values of power series at algebraic points
    金子 元
    代数学シンポジウム/2012-08-20--2012-08-23
  • Transcendental results related to the base-b expansions of real numbers
    Kaneko Hajime
    2012 Combinatorics Workshop/2012-08-09--2012-08-10
  • On the base-b expansions of algebraic irrational numbers
    金子 元
    The 3rd Keio-Yonsei Workshop/2012-05-24--2012-05-25
  • Algebraic independence of the power series related to the beta expansions of real numbers
    Kaneko Hajime
    解析的整数論―超越関数の数論的性質とその応用/2013-11-05--2013-11-07
  • On the b-expansions of algebraic numbers by Pisot and Salem Numbers
    Kaneko Hajime
    28th Journees Arithmetiques/2013-07-01--2013-07-05
  • On the beta-expansions of algebraic numbers by a Pisot or Salem number beta
    Kaneko Hajime
    Diophantine Analysis and Related Fields 2015/2015-03-05--2015-03-07
Teaching
2018-10 -- 2019-02Research in Algebra IAUniversity of Tsukuba.
2018-10 -- 2019-02Research in Algebra IBUniversity of Tsukuba.
2018-10 -- 2019-02Research in Algebra IIAUniversity of Tsukuba.
2018-10 -- 2019-02Research in Algebra IIBUniversity of Tsukuba.
2018-04 -- 2018-08Research in Algebra IAUniversity of Tsukuba.
2018-04 -- 2018-08Research in Algebra IBUniversity of Tsukuba.
2018-04 -- 2018-08Research in Algebra IIAUniversity of Tsukuba.
2018-04 -- 2018-08Research in Algebra IIBUniversity of Tsukuba.
2018-10 -- 2019-02Exercise in Introduction to AlgebraUniversity of Tsukuba.
2018-10 -- 2019-02Exercises in Linear Algebra IIUniversity of Tsukuba.
Other activities
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 -- 2014-092014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: 2019-06-12)