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
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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