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My work 

Publication, preprints, talks, visiting, books.

(last update: Oct. 13 2025)

Articles, extended abstracts, preprints

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22. M. Kobayashi, Gesselの基本的準対称関数の定理の拡張、COS2025(大分)の予稿とスライド

pdf file slide for the talk​ (Japanese)​

21. M. Kobayashi, RSK correspondence for King tableaux with Berele insertion and semistandard oscillating tableaux, 2025 July as an extended abstract of my talk, Kyoto RIMS, kokyuroku.

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20. M. Kobayashi, T.Matsumura, RSK correspondence for King tableaux with Berele insertion, 2025 June, submitted.

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19. M. Kobayashi, Ramanujan–Shen’s differential equations for Eisenstein series of level 2. Res. number theory 10, 41 (2024).

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18. M. Kobayashi, S. Sasaki, Values of zeta-one functions at positive even integers, Open J. Math. Sci. 2023, 7, 127-134;

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17. M. Kobayashi, From basel problem to multiple zeta values. J Anal 32, 1237–1254 (2024).

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16. M. Kobayashi, From Basel Problem to multiple zeta values, 2022 Kyoto RIMS, analytic number theory and related topics.

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15. M. Kobayashi, integral representations for local dilogarithm and trilogarithm functions, open J. Math. Sci., 2021 5, 337-352.

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14. M. Kobayashi, Construction of double coset systems in a Coxeter group and applications to Bruhat graphs, 2019 July. 

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13. M. Kobayashi, Weighted counting of inversions on alternating sign matrices, Order 37 (2020), 461-477. 

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12. M. Kobayashi, Bruhat order and graph structures of lower intervals in Coxeter groups (math arXiv:1812.06266), Dec 2018.

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11. M. Kobayashi, A directed graph structure of alternating sign matrices, Linear Algebra Appl. 519 (2017), 164-190.

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10. M. Kobayashi, Mobius functions of higher rank and Dirichlet series, 2017 March.

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09. M. Kobayashi, Enumerative Combinatorics of determinants and signed bigrassmannian polynomials, Math. J. Okayama Univ. 57  (2015), 159-172.

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08. M. Kobayashi, Matrix representation of meet-irreducible discrete copulas, Fuzzy Sets and Systems 240 (2014), 117-130.

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07. M. Kobayashi, More combinatorics of Fulton's essential set, Int. Math. Forum 8 (2013), no.33-36, 1735-1760.

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06. M. Kobayashi, Inequalities on Bruhat graphs, R- and Kazhdan-Lusztig polynomials, J. Comb. Theory Ser. A 120 (2013), no.2,  470-482.

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05. M. Kobayashi, Combinatorial Inequalities of Kazhdan-Lusztig polynomials on Bruhat graphs, Combinatorial Representation Theory and Related Topics, Kyoto RIMS, October 2012.

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04. M. Kobayashi, 3412 and 4231 patterns produce singular points of essential sets, Saitama Math. J. 28 (2011), 13-23.

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03. M. Kobayashi, The maximum number of atoms of Bruhat intervals in the symmetric groups, European J. Combin. 32 (2011),  no.1, 67-71.

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02. M.Kobayashi, Bijection between bigrassmannian permutations maximal below a permutation and its essential set, Electron. J. Combin. 17 (2010), no. 1, Note 27, 8 pp.

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01. M. Kobayashi, Enumeration of bigrassmannian permutations below a permutation in Bruhat order, Order 28 (2011), no. 1, 131-137.

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Talks 

T26

An extension of theorems on quasi-symmetric functions by Gessel, Assaf-Searles, Confluence of combinatorics and representation theory, Kyoto RIMS, 2-2:50pm, Oct. 21, 2025.

slide

T25 

King盤のRSK対応

JCCA 2025, Hiroshima, Aug. 19, 9:45-10:15am.

slide (Japanese)

T24

RSK correspondence for King tableaux, Recent development on Representation theory, Lie theory and related areas, Kyoto RIMS, 2025 June 24, 1:40-2:30pm.

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T23.

オイラーの五角数漸化式の三角数版

JCCA 2022, 成蹊大学 2022/8/19

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T22.

Three integral representations for the Apéry constant, RIMS Kyoto, Analytic Number Theory and Related Topics, 2021, Oct. 12.

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T21.

Three integral representations for the Apéry constant, Kyushu Algebraic Number Theory 2021, Sep 26. 

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T20.

リーマンのゼータ関数の類似の無限級数、

日本数学会、2021、9月、千葉大学(オンライン)(佐々木俊二との共同研究)

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T19. 

q-determinant, q-Vandermonde and 

signed bigrassmannian polynomials, 2021, Spring Japanese mathematical society (online).

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T18. 

q-determinant, q-Vandermonde and 

signed bigrassmannian polynomials, 2020, Aug. 18,  JCCA2020 (online).

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T17. Bruhat f-vector of Bruhat intervals, 2020, Feb. 7, Mathsci Freshman seminar, Nagoya Univ.

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T16. Weighted counting of inversions on alternating sign matrices, 2019, Sep. 19, Japan Math. Soc., Kanazawa Univ. 

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T15. When does a strict inequality of Kazhdan-Lusztig polynomials hold?, 2019, Sep. 19, Japan Math. Soc., Kanazawa Univ. 

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T14. the first step to Bruhat-Eulerian theory (Japanese), 

Combinatorics summer school 2019, Shimonoseki, Japan. 

abstract  slide 

T13. Everything becomes q, X'math 2018, Dec 24, Hiroo school.

T12. math on amidakuji, Kumamoto kosen, 2014, 3/11-12, 10:00-15:00.
 

T11. Osaka combinatorics seminar, Combinatorics on bigrassmannian permutations and essential sets, 2013, October.

lecture note 
 

T10. super complete cd-index for Bruhat intervals, 

Algebra conference for young researchers 9, Osaka University, 2013, March.
 

T9. Formula for bigrassmannian permutations, 

Conference for young researchers 9, Hokkaido Univ., 2013, March.
 

T8. Combinatorial inequalities of Kazhdan-Lusztig polynomials (English), Kyoto RIMS, Combinatorial representation theory and related topics, 2012, Aug. slide
 

T7. Combinatorics summer school 2012, Shimane, 

Enumeration of bigrassmannian permutations, 2012, Aug.
 

T6. Amida=Coxeter+Bruhat order, Conference for young researchers 9, Hokkaido Univ. 2012, March.
 

T5. Math on permutations, Saitama Univ., 2011, Oct.
 

T4. Analytic approach for Brenti's conjecture (English), Italy Combinatorics, Biantro, September 17-20, 2011.
 

T3. Enumeration of bigrassmannian permutations, Seminaire Lotharingien de Combinatoire 65th, Austria, Strobl, September 13-15, 2010.
 

T2. Enumeration of bigrassmannian permutations below a permutation in Bruhat order, Affine algebraic geometry, Kwansai Gakuin University, September 2-5, 2010.
 

T1. Irreducible components of intersection of Schubert varieties, Saitama University, Japan, June 15, 2010.

Iitaka online seminar talk slides, articles (Japanese)

2022/9/1

オイラーのO=D定理

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2022/8/1

浜田の素因数色彩の理論

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2022/7/16

府中図書館 市民数学の会

約数関数の五角数漸化式の三角数版

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2022/7/4

過剰数の指数の性質

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2022/6/18

府中図書館 市民数学の会

オイラーの五角数定理

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2022/6/6 過剰指数と過剰数、完全数、不足数 

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2022/5/21

府中図書館 市民数学の会

約数関数、分割数の五角数漸化式

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2022/5/2 無限集合4 

ゲーデルプリンター、命題、証明可能性

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2022/4/16 府中図書館 市民数学の会

オイラー・ゴールドバッハの定理と​リーマンのゼータ関数と関係

2022/4/4 無限集合3 ベルンシュタインの定理 

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2022/3/7 無限集合2 カントールの定理

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2022/2/23 

ゼータワン関数の正の偶数における値

(山形ゆうじとの共著)

article

2022/2/7 無限集合とは?

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2021/12/6 等式、平方根、ヒトの脳

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2021/11/1 いろいろな種類の数、周期、多重ゼータ

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2021/10/4 多重ゼータ入門

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2021/9/6 arcsin xを用いたゼータ2の計算

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2021/8/2 ついに発見!ゼータ3の新たな積分表現

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2021/7/5 累乗数と重複ゼータ級数

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2021/7/5 ゼータと重複度

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2021/4/5 サインゼータ、コサインゼータ、ベルヌーイ多項式

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2021/3/1 ゼータ偶数&オイラーの公式、ゼータ奇数&ラマヌジャンの公式

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2021/2/1 根号公式の証明、オイラーゴールドバッハの定理とゼータ交代和

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2021/1/4 L関数正の奇数値

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2020/12/7 ディリクレ級数とオイラー積

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2020/11/2 ゼータ関数正の偶数値〜三角関数の奥へ〜

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2020/10/5 約数関数、分割数、五角数漸化式

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2020/9/7 高階メビウス関数から導ける3つの無限級数

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Visit

Hiroyuki Tagawa, Wakayama Univ. 2010, Nov.
 

Books (Japanese)

B4. Linear algebra +α, Daigaku Kyoiku Shuppan, 2017

B3. LaTeX comfortable typing, Kogakusha, 2016

B2. Translation: mathematics on finite reflection groups, Maruzen, 2016, with Akihiro Higashitani, Daisuke Suyama, Yasuyuki Tsukamoto, Norihiro Nakashima, Ryosuke Mineyama.

B1. Amidakuji no sugaku, Kyoritsu, 2011

My thesis 

title:Schubert numbers 

68 pages

ph. D (mathematics), the University of Tennessee, Knoxville, 

March 2010, 

advisor: Shashikant Mulay

pdf

英語の勉強法 

ミラクルイングリッシュ

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