博士(理学), 大阪大学

Approximation of solutions of differential equations, periods of algebraic varieties, period conjecture, hypergeometric functions

Transcendental number theory, G-functions, periods of algebraic varieties, period conjecture, hypergeometric functions

Natural sciences, Algebra, Algebra, Approximation Theory, Analytic Number theory

Natural sciences, Algebra, Algebra

Apr. 2024 - Present
Meiji Gakuin University, Faculty of Mathematical Informatics, Lecturer

Apr. 2023 - Mar. 2024
Nihon University, College of Industrial Technology, 専任講師

Apr. 2021 - Mar. 2023
Nihon University, College of Industrial Technology, 助教

Apr. 2017 - Mar. 2021
Osaka Institute of Technology, 非常勤講師

Apr. 2018 - Sep. 2018
Osaka University, 非常勤講師

Apr. 2017 - Sep. 2017
大阪薬科大学, 非常勤講師

Apr. 2013 - Mar. 2017
Osaka University, Graduate School of Science, Department of Mathematics

★Rodrigues formula and linear independence for values of hypergeometric functions with parameters vary
Makoto Kawashima
accepted for publication in J. of Australian Journal of Math. Soc., Dec. 2023, Refereed

★Linear independence criteria for generalized polylogarithms with distinct shifts
Sinnou David; Noriko Hirata-Kohno; Makoto Kawashima
Acta Arithmetica, Dec. 2022, Refereed, Not invited
Lead

★Linear Forms in Polylogarithms
Sinnou David; Noriko Hirata; Makoto Kawashima
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Oct. 2022, Refereed, Not invited
Lead

★Padé approximation for a class of hypergeometric functions and parametric geometry of numbers
Makoto Kawashima; Anthony Poels
Journal of Number Theory, in press, 2022, Refereed, Not invited
Lead

S-unit equation in two variables and Pade approximations
Noriko Hirata-Kohno; Makoto Kawashima; Anthony Poëls; Yukiko Washio
International Journal of Number Theory, 2023, Refereed
Lead

The digit exchanges in the beta expansion of algebraic numbers
Hajime Kaneko; Makoto Kawashima
Journal of Number Theory, Dec. 2022, Refereed, Not invited
Lead

Visual approximation of continued fractions
杉本和希; 西林大樹; 川島誠; 鈴木潔光; 利根川聡; 鷲尾夕紀子; 平田典子
城西大学数学科数学教育紀要第3巻, Mar. 2022, Refereed
Lead

Generalized hypergeometric G-functions take linear independent values
Sinnou David; Noriko Hirata-Kohno; Makoto Kawashima
arXiv.org e-Print archive, Mar. 2022, Not refereed, Not invited
Lead

Recent Developments on Polylogarithms and,Period Conjecture
Sinnou David; Noriko Hirata-Kohno; Makoto Kawashima
RIMS Kokyuroku Bessatsu accepted for publication, 2022, Refereed
Lead

Transcendence related to certain series and visualization via Mathematica
平田典子,杉本和希,西林大樹,川島誠,鈴木潔光,利根川聡,鷲尾夕紀子,鷲尾勇介
京都大学数理解析研究所，RIMS講究録, Dec. 2021, Not refereed
Lead

Irrationality of special values of formal Laurent series represented by formal Mellin transform of G-functions
Makoto Kawashima
RIMS Kôkyûroku,Problems and prospects in Analytic Number Theory, Nov. 2021, Not refereed, Invited
Lead

Paperfolding sequence and introductory instructions in Mathematics
西林大樹 横溝恭平 鷲尾夕紀子 川島誠 鈴木潔光; 平田典子
69th JSEE, Sep. 2021, Not refereed, Not invited
Lead

多重対数関数の特殊値の線形独立性について
Makoto Kawashima
RIMS Kokyuroku 2162 Analytic Number Theory and Related Topics, Jul. 2020, Not refereed, Invited
Lead

Can polylogarithms at algebraic points be linearly independent?
Sinnou David; Noriko Hirata-Kohno; Makoto Kawashima
Moscow Journal of Combinatorics and Number Theory, 2020, Refereed, Not invited
Lead

Linear independence of values of logarithms revisited
Makoto Kawashima
arXiv.org e-Print archive, Apr. 2019, Not refereed, Not invited
Lead

G-関数の形式的Mellin変換で表される級数の特殊値の無理数性について
川島誠
第１０回福岡数論研究集会報告集, Apr. 2017, Not refereed, Invited
Lead

Linear independence of values of formal Laurent series
Makoto Kawashima
Osaka University PhD thesis, Mar. 2017, Not refereed, Not invited
Lead

A lower bound of the dimension of the vector space spanned by the special values of certain functions
Minoru Hirose; Makoto Kawashima; Nobuo Sato
Tokyo Journal of Mathematics, 2017, Refereed, Not invited
Lead

Evaluation of the dimension of the Q-vector space spanned by the special values of the Lerch function
Makoto Kawashima
Tsukuba Journal of Mathematics, 2015, Refereed, Not invited
Lead

p進L関数の特殊値の線型独立性について
川島誠
大阪大学修士論文, Mar. 2012, Not refereed, Not invited

異なるshiftの一般Lerch関数の特殊値の線形独立性について
川島誠
数理解析研究所講究録,解析的整数論の展望と諸問題, Aug. 2021, Not refereed, Not invited
Lead

★On arithmetic properties of Siegel's G-functions
Makoto Kawashima
日本数学会秋季総合分科会 代数学 特別講演, Sep. 2022, Invited

★Linear independence criterion for values of hypergeometric functions
S. David; N. Hirata-Kohno; M.Kawashima
Days of transcendence, in occasion of Professor Yuri Nesterenko's 75th birthday, Feb. 2022, Invited

★On linear independence of special values of Lerch functions
S. David; N. Hirata-Kohno; M. Kawashima
Seminar on Complex Analysis (Gonchar Seminar), Nov. 2021, Invited

Gauss' continued fraction and irrationality
Makoto Kawashima
Diophantine Analysis and Related Fields 2024, Mar. 2024, Invited

SiegelのG関数, E関数とその特殊値の性質について
川島誠
北海道大学数論セミナー, Feb. 2024, Invited

Hypergeometric series and Rodrigues' formula
Makoto Kawashima
第19回北陸数論研究集会, Nov. 2023, Invited

Rodligues type formulae and linear independence
Makoto Kawashima
Workshop on Accessory Parameters, Mar. 2023, Invited

グロダンディーク周期予想とジーゲルの G 関数について
川島誠
2023早稲田整数論研究集会, Mar. 2023, Invited

On arithmetic properties of hypergeometric functions
Makoto Kawashima
Diophantine Analysis and Related Fields 2023, Mar. 2023, Invited

On arithmetic properties of values of generalized hypergeometric functions
Makoto Kawashima
RIMS 2022 Analytic number theory and related topics, Oct. 2022, Not invited

Visual Pade Approximation for the Riemann zeta values at odd integers
杉本和希・室井龍二・山崎敬太・鷲尾勇介・川島誠・鷲尾夕紀子・鈴木潔光・利根川聡・平田典子
Aug. 2022, 京都大学, Invited

円周率の近似計算の精度について
川島誠
第41回数理科学講演会, Aug. 2022, Not invited

一般超幾何関数のパデ近似とその応用
川島誠
函数方程式論サマーセミナー, Aug. 2022, 蛭子彰仁, Invited

Palindromic continued fractions visualized（回文による連分数と視覚化）
平田 典子,利根川 聡,川島 誠,鷲尾 夕紀子,; 西林 大樹,杉本 和希,室井 龍二
第4回数学教育セミナー「TeXによる教材作成」, Mar. 2022, Invited

Holonomic series and Orthogonal polynomials
Makoto Kawashima
RIMS共同研究「解析的整数論とその周辺」, Oct. 2021, 赤塚 広隆, Invited

Visual approximation of continued fraction(連分数近似度の視覚化)
杉本和希(日本大学大学院理工学研究科); 利根川聡; 鷲尾夕紀子; 平田典子(日本大学; 理工学部); 川島誠(日本大学生産工学部)
第 3 回数学教育セミナー,「TEX による教材作成」, Mar. 2021, Invited

Linear Forms in Polylogarithms
Makoto Kawashima
Japan Europe Number Theory Exchange Seminer, Feb. 2021, Invited

Lerch関数の値の線形独立性について
Sinnou David; Noriko Hirata; Makoto Kawashima
筑波大学代数特別セミナー, Dec. 2020, 金子元, Invited

Algebraic approch towards analytic methods for the irrationality
川島誠
RIMS共同研究(公開型) 解析的整数論の展望と諸問題2020, Nov. 2020, Invited

異なるシフトをもつ Lerch 関数の特殊値の線型独立性について
川島誠
津田塾大学整数論ワークショップ2020, Nov. 2020, Invited

On linear independence of special values of polylogarithms
Sinnou David
2020-2021 Fields Number Theory Seminar, Sep. 2020, Invited

Recent Progress toward Polylogarithm Conjecture
平田(河野)典子
Algebraic Number Theory and Related Topics, RIMS, Workshop, Dec. 2019, Invited

Arithmetic property of Lerch functions and related topics
川島誠
大阪大学整数論セミナー, Dec. 2019, Invited

Linear independence of values of polylogarithm functions
Makoto Kawashima
Analytic Number Theory and Related Topics (Kyoto Univ.), Oct. 2019, Invited

Padé近似の構成, 及び, 多重対数関数の特殊値の線形独立性への応用について
川島誠
数論セミナー(日本大学), Sep. 2019, Invited

Linear forms in logarithms: contribution by Feldman and the linear independence of polylogarithms
Noriko Hirata-Kohno
Transcendence and Diophantine Problems (Moscow Univ.), Jun. 2019, Invited

A lower bound of the linear forms in logarithms of algebraic numbers via Pade approximation
Makoto Kawashima
Effective Methods for Diophantine Problems(Leiden Univ.), Jun. 2018, Invited

Linear independence of logarithm revisited
Makoto Kawashima
Diohantine analysis and related fields 2018, Mar. 2018, Invited

Lerch 関数に関連するLaurent 級数の特殊値の線形独立性について
川島誠
大阪大学整数論保形形式セミナー, Dec. 2017, Invited

E-関数を消す微分作用素の性質に基づくSiegel-Shidlovskii の定理の別証明
川島誠
八王子数論セミナー, Sep. 2017, Invited

Linear independence of special values of certain Laurent series represented by formal Mellin transform of G-functions
Makoto Kawashima
Journees Arithmetiques (Cean Univ.), Jul. 2017, Invited

Irrationality of special values of certain power series represented by formal Mellin transform of G-functions
解析的整数論の諸問題と展望, Nov. 2016, Invited

Irrationality of special values of certain power series represented by formal Mellin transform of G-functions
川島誠
第１０回福岡整数論研究集会, Aug. 2016, Invited

An irrationality criterion of simultaneous type for several p-adic series
川島誠
数論セミナー(日本大学), Dec. 2015, Invited

Berkovich空間の紹介
川島誠
八王子数論セミナー, Sep. 2015, Invited

Linear independence of values of certain p-adic functions
Makoto Kawashima
Diophantine analysis and related fields 2015, Mar. 2015, Invited

An approach via the formal Laplace transform to the irrationality of values of p-adic zeta functions
慶応大学代数セミナー, Dec. 2014, Invited

p進積分(Coleman積分)とその応用
八王子整数論セミナー, Oct. 2014, 小川裕之, 川島誠, Invited

An approach via the formal Laplace transform to the irrationality of values of p-adic zeta functions
川島誠
北陸数論セミナー, Oct. 2014, Invited

p進積分(Coleman積分)とその応用
八王子整数論セミナー, Aug. 2014, 小川裕之, 川島誠, Invited

Formal Laplace transform of Laurent series expansion in Beukers' approximation
Diophantine analysis and related fields 2014, Mar. 2014, Invited

valuation of the dimension of the Q-vector space spanned by the special values of the Lerch functions functions,
川島誠
第１２回広島仙台整数論集会, Jul. 2013, Invited

Formal Laplace transform of Laurent series expansion in Beukers' approximation
Diophantine analysis and related fields 2013, Mar. 2013, Invited

Irrationality of the values of Φ_s(x,z)
Makoto Kawashima
Diophantinus analysis and related fields 2013, Jan. 2013, Invited

valuation of the dimension of the Q-vector space spanned by the special values of the Lerch functionsfunctions,
川島誠
広島仙台整数論集会, Jul. 2012, Invited

Irrationality of the values of Φ_s(x,z)
Makoto Kawashima
Diophantinus analysis and related fields 2012, Jan. 2012, Invited

About special values of p-adic zeta functions
川島誠
近畿大学数論合同セミナー, Jul. 2011, Invited

Mar. 2021 - Present
日本数学会