九州大学-研究者情報 [金子昌信 (教授) 数理学研究院代数幾何部門]

金子昌信（かねこまさのぶ）

データ更新日：2024.04.18

教授　／　数理学研究院代数幾何部門

学会発表等

1.	Masanobu Kaneko, Multiple L-values of conductor four, Entringer numbers, and modular forms, Number Theory Seminar, 2023.04.
2.	Masanobu Kaneko, On some formulas for quadratic class numbers, Number Theory in Tokyo,, 2023.03.
3.	金子昌信, フルヴィッツ型多重ゼータ値の正規化と川島関係式, 「代数的整数論とその周辺」研究集会, 2022.12.
4.	金子昌信, 虚2次体の類数をめぐる2,3の話題, 愛知数論セミナー, 2022.12.
5.	金子昌信, 「多重ゼータ値」小史, 第32回数学史シンポジウム, 2022.10.
6.	金子昌信, レベル4の多重 L 値について, RIMS 研究集会「多重ゼータ値の諸相」, 2022.05.
7.	金子昌信, Multiple L-values of conductor 4, Entringer numbers, and period polynomials, 第16回多重ゼータ研究集会 & 第58回関西多重ゼータ研究会, 2022.02.
8.	金子昌信, レベル 2 有限多重ゼータ値について, 九州代数的整数論2021夏, 2021.09.
9.	金子昌信, Caliber, 香川セミナー, 2021.03.
10.	Masanobu Kaneko, Genus character L-functions of quadratic orders and class number formulas, NCTS Seminar on Number Theory, 2021.01.
11.	金子昌信, 正規化定理の一般化と川島関係式, 第14回多重ゼータ研究集会, 2020.11.
12.	Masanobu Kaneko, A new approach to Kawashima’s relation for multiple zeta values, Japan Europe Number Theory Exchange Seminar, 2020.10.
13.	Masanobu Kaneko, Genus character L-functions of quadratic orders and class numbers, Number Theory Seminar, 2020.03.
14.	金子昌信, 有限多重ゼータ値について, 愛知数論セミナー, 2020.02.
15.	Masanobu Kaneko, On finite multiple zeta values, BU-Keio workshop 201, 2019.06, 有限多重ゼータ値についての概説講演を行った．.
16.	Masanobu Kaneko, On a variant of multiple zeta values of level two, Multiple zeta values and related topics, 2019.06.
17.	Masanobu Kaneko, On a variant of multiple zeta values of level two, AMS Sectional Meeting, Special Session on Arithmetic and Transcendence of Special Functions and Special Values, 2019.03.
18.	Masanobu Kaneko, Genus character L-functions of quadratic orders and class number formulas, Hawaii Number Theory 2019, 2019.03.
19.	Masanobu Kaneko, On a variant of multiple zeta values of level two, Low dimensional topology and number theory XI, 2019.03.
20.	金子昌信, レベル２多重ゼータ値について, 第12回多重ゼータ研究集会，第44回関西多重ゼータ研究会（共同開催）, 2019.02.
21.	Masanobu Kaneko, Genus character L-functions of quadratic orders and class number formulas, Indo-Japan conference on number theory, 2019.02.
22.	Masanobu Kaneko, On the ``value" of the elliptic modular function at real quadratics, New developments in the theory of modular forms over function fields, 2018.11.
23.	金子昌信, 多重ゼータ値の正規化基本定理, 第26回整数論サマースクール, 2018.09.
24.	金子昌信, 楕円モジュラー関数の実二次点における「値」について, 紀尾井町数理セミナー, 2018.06.
25.	金子昌信, Genus character L-functions of quadratic orders and class numbers, Low dimensional topology and number theory X, 2018.03.
26.	Masanobu Kaneko, An explicit form of genus character L-functions of quadratic orders and its applications, Trends in Modular Forms, 2017.12.
27.	金子昌信, 有限多重ゼータ値について, 新潟代数セミナー, 2017.11.
28.	金子昌信, Elliptic normal curves of even degree and theta functions, 2017 大分熊本整数論研究集会, 2017.10.
29.	金子昌信, Two zeta functions connecting multiple zeta values and poly-Bernoulli numbers, 多重ゼータ関数の諸相, 2017.08.
30.	Masanobu Kaneko, On modular differential equations of the third order, Aspects of Automorphic Forms and Applications, 2017.07.
31.	Masanobu KANEKO, Fourier coefficients and singular moduli of modular functions, Modular Forms are everywhere, 2017.05, The generating function of traces of singular moduli of the modular j-invariant becomes a modular form of weight 3/2. This is Don's celebrated discovery, inspired by a work of R. Borcherds. Using this modular form, one can obtain a formula for the Fourier coefficients of the modular j-invariant in terms of singular moduli. In this talk, I shall review these works, and introduce recent developments regarding an application of the formula (due to R. Murty and K. Sampath) as well as generalizations (due to T. Matsusaka). .
32.	Masanobu KANEKO, Classical and finite multiple zeta values, French-Japanese Zeta Functions, 2017.03, [URL].
33.	金子昌信, 有限多重ゼータ値について, 2016 大分整数論研究集会, 2016.10.
34.	金子昌信, 楕円モジュラーj-関数—三幅対の夢, 日本応用数理学会 2016年年会, 2016.09, 楕円モジュラー -関数はモジュラー関数の中でも最も基本的な関数である．これについて，虚数乗法論，そして Monstrous Moonshine という大きな理論が知られている．それらをおおざっぱに，それぞれ -関数の虚二次点，無限遠点での振る舞いに関して何かを言う理論だと思うとすると，もう一つ，実二次点での振る舞いはどうかというのが気になる．これらについて筆者が20年来行ってきたささやかな研究，空想についてお話ししたいと思う．.
35.	金子昌信, 多重ゼータ値, 第61回代数学シンポジウム, 2016.09.
36.	Masanobu KANEKO, Classical and Finite Multiple Zeta Values , 2016 TIMS Summer School on Arithmetic Geometry, 2016.08, [URL], After giving an introductory overview of the classical multiple zeta values (MZVs) , I will discuss recent joint work with Shuji Yamamoto on a new identity of MZVs which is closely related to the theory of regularizations. I shall also present the theory of finite multiple zeta values which has been developed recently with Don Zagier..
37.	Masanobu KANEKO, An introduction to multi-zeta values, Analogies between number fields and function fields: algebraic and analytic aspects, 2016.06.
38.	Masanobu KANEKO, A new integral-series identity of multiple zeta values and regularizations, 2016 Seoul-Tokyo conference on number theory, 2016.06.
39.	Masanobu KANEKO, Finite multiple zeta values, Diophantine Analysis and Related Topics, 2016.03.
40.	金子昌信, 有限多重ゼータ値について, 第9回多重ゼータ研究集会（第29回関西多重ゼータ研究会と共同開催）, 2016.02.
41.	金子昌信, 有限多重ゼータ値, 京都大学数学談話会, 2015.12.
42.	金子昌信, On regularizations of multiple zeta values, Zeta functions of several variables and applications, 2015.11.
43.	金子昌信, 多重ゼータ値 -この20年をふりかえり-, 島根大学総合理工学研究科談話会, 2015.10.
44.	Masanobu KANEKO, Finite multiple zeta values, Seminaire de Theorie des Nombres, 2015.09.
45.	Masanobu KANEKO, Poly-Bernoulli numbers, multiple zeta values, and related zeta functions, French-Japanese Workshop on multiple zeta functions and applications, 2015.09.
46.	Masanobu KANEKO, On finite multiple zeta values, Seminaire de Theorie des Nombres de Caen, 2015.09.
47.	Masanobu KANEKO, On finite multiple zeta values, Seminaire de Groupe d’Etude sur les Problemes Diophantiens, 2015.09.
48.	Masanobu KANEKO, On the elliptic modular function j(τ), Seminar on Algebra, Geometry and Physics, 2015.08.
49.	Masanobu KANEKO, On the elliptic modular j-function, Modular forms workshop, 2015.06.
50.	Masanobu KANEKO, Two unsolved problems in number theory - the oldest and the greatest, 釜山大学数学サークル講演会, 2015.02.
51.	金子昌信, Multi-poly-Bernoulli numbers and related zeta functions II, 第8回多重ゼータ研究集会＆第24回関西多重ゼータ研究会, 2015.02.
52.	Masanobu KANEKO, Finite and symmetric multiple zeta values, Workshop on Multiple Zeta Values, Modular Forms and Elliptic Motives II, 2014.12.
53.	Masanobu KANEKO, Finite multiple zeta values, Workshop on multiple zeta values, 2014.08.
54.	金子昌信, On the elliptic modular function j(¥tau),, Modular functions and Quadratic forms – Number theoretic delights, 2013.12.
55.	金子昌信, Finite multiple zeta values, RIMS 研究集会「多重ゼータ値の諸相」, 2013.07.
56.	Masanobu KANEKO, Finite multiple zeta values, 28th Journees Arithmetiques, 2013.07.
57.	Masanobu KANEKO, On the “KZ” equation, Seminaire de Theorie des Nombres, 2013.06.
58.	金子昌信, Mod p 多重ゼータ値について, 関西多重ゼータ研究会, 2012.11.
59.	Masanobu KANEKO, Double zeta values and modular forms, Modular form seminar, 2012.11.
60.	Masanobu KANEKO, The Ramanujan-Serre differential operators and certain elliptic curves, Number theory seminar, 2012.11.
61.	金子昌信, 境優一, The Ramanujan-Serre differential operators and certain elliptic curves , 日本数学会秋期総合分科会, 2012.09.
62.	Masanobu Kaneko, The Ramanujan-Serre differential operators and certain elliptic curves, Workshop on Modular Forms, 2012.05.
63.	Masanobu Kaneko, The Ramanujan-Serre differential operators and certain elliptic curves,, Hawai‘i Conference in Algebraic Number Theory, Arithmetic Geometry and Modular Forms, 2012.03.
64.	Masanobu Kaneko, Congruences of Markoff numbers via Farey parametrization, Special Session of the AMS 2012 Spring Western Section Meeting, 2012.03.
65.	Masanobu Kaneko , Markoff numbers and Farey sequences, The 1st International Congress on Natural Sciences (ICNS2011), 2011.08.
66.	Masanobu Kaneko, Double Eisenstein series and modular forms, Workshop on multiple zeta values, modular forms and elliptic motives, 2011.05.
67.	Masanobu Kaneko, ``Values'' of the elliptic modular j-function at real quadratic numbers, PANT-Kyoto 2010 , 2010.09.
68.	金子昌信, 有限多重ゼータ値 mod p と多重ゼータ値の関係式, 多重ゼータ値の諸相（RIMS 研究集会）, 2010.09.
69.	Masanobu Kaneko, Certain differential equation related to supersingular j-invariants and quasimodular forms, Quasimodular forms and applications, Besse Summer School 2010, 2010.06.
70.	Masanobu Kaneko, Modular forms satisfying certain differential equation, Symmetry Plus Integrability 2010, 2010.06.
71.	Masanobu Kaneko, Values of the j-function at real quadratics, in particular the Markoff irrationalities, The 24th Automorphic Forms Workshop, 2010.03.
72.	繁木伸孝，金子昌信, 楕円モジュラー j 関数の実二次点での「値」とマルコフ二次無理数, 早稲田大学整数論研究集会, 2010.03.
73.	Masanobu Kaneko, Some experiments on the "values" of the elliptic modular j-function at real quadratics, Math-Info 2010, ``Sage Days'', 2010.02.
74.	Masanobu Kaneko, Observations on the “values” of the modular j -function at real quadratics , East Asia Number Theory Conference, 2009.08.
75.	金子昌信, 楕円モジュラー j-関数をめぐって, 第21回草津群論セミナー, 2009.08.
76.	Masanobu Kaneko, On the ''values'' of the elliptic modular j-function at real quadratics, International workshop on verified computations and related topics, 2009.03.
77.	Masanobu Kaneko, On the ''values'' of the elliptic modular j-function at real quadratics, The First Kyushu-POSTECH Joint Workshop --Number Theory and Related Topics, 2009.01.
78.	Masanobu Kaneko, A note on poly-Bernoulli numbers and multiple zeta values, Diophantine Analysis and Related Fields, DARF 2007/2008, 2008.12, [URL], We review several occurrences of poly-Bernoulli numbers in various contexts, and discuss in particular some aspects of relations of poly-Bernoulli numbers and special values of certain zeta functions, notably multiple zeta values..
79.	Masanobu Kaneko, Observations on the ''values'' of modular j-function at real quadratics, Seminaire tournant de Theorie Analytique des Nombres et d'Approximation Diophantienne, 2008.09.
80.	金子昌信, 多重ゼータ値と多重ベルヌーイ数, 第53回代数学シンポジウム, 2008.08.
81.	金子昌信, A note on poly-Bernoulli numbers and multiple zeta values, Diophantine Analysis and Related Fields 2008, 2008.03.
82.	金子昌信, 楕円モジュラーj-関数の実二次点での「値」, 博多数論小研究集会, 2008.02.
83.	金子昌信, Some aspects of poly-Bernoulli numbers, French-Japanese Winter School on Zeta and L-functions, 2008.01.
84.	金子昌信, ``Values'' of the j-function at real quadratics ― an attempt, COE Conference on the Development of Dynamic Mathematics with High Functionality, 2007.10.
85.	金子昌信, On an extension of the derivation relation for multiple zeta values, Groupe d'\'Etude sur les Probl\`emes Diophantiens, 2007.06.
86.	大田香織，金子昌信, いくつかの種数 0 モジュラー関数のフーリエ係数公式, 早稲田大学整数論研究集会, 2007.03.
87.	金子昌信, Modular and quasimodular forms and their applications, Modular forms and String Duality, Banff International Research Station workshop, 2006.06.
88.	金子昌信, On poly-Bernoulli numbers, KIAS Number Theory Conference, 2006.06.
89.	金子昌信, On derivation relations of multiple zeta values, Conference on L-functions, 2006.02.
90.	金子昌信, Double zeta values and modular forms, Okayama Workshop on Arithmetic and Geometry, 2005.05.
91.	金子昌信, Double zeta values, double Eisenstein series, and modular forms, Arithmetic Geometry and Number Theory, 2005.03.
92.	金子昌信, On extremal quasimodular forms, Modular forms and related topics, KIAS-POSTECH-SNU International Number Theory Workshop, 2004.12.
93.	金子昌信, Double zeta values, double Eisenstein series, and modular forms, 短期共同研究「多重ゼータ値の研究」, 2004.11.
94.	金子昌信, Double zeta values and modular forms, Japan-Korea Number Theory Seminar, 2004.10.
95.	金子昌信, Arakawa's works on special values of zeta and L-functions, 「保型形式とゼータ関数」 (荒川恒男氏追悼研究集会), 2004.09.
96.	金子昌信，小池正夫, On extremal quasimodular forms , 早稲田大学整数論研究集会, 2004.03.
97.	金子昌信, On a new q-analogue of the Riemann zeta function, Zeta Functions, Topology and Quantum Physics, 2003.03.
98.	金子昌信, Multiple zeta values and poly-Bernoulli numbers -- a survey, International Workshop on Physics and Combinatorics, 2000.08.
99.	金子昌信, Hypergeometric modular forms and supersingular elliptic curves, Moonshine Workshop, 1999.05.
100.	金子昌信, Modular forms and Mirror Symmetry, Calabi-Yau Varieties and Mirror Symmetry Conjecture, 1998.10.
101.	金子昌信, Poly-Bernoulli numbers and multiiple zeta values, Expanding the world of number theory (伊原康隆先生還暦記念研究集会), 1998.06.

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