Ryotaro Harada 

Upcoming event:  None.

Research paper:   

 Y.-T. Chen,  R. Harada,  `Linear relations among algebraic points on tensor powers of the Carlitz module',  2023, Arxiv link           

 R. Harada, `Colored multizeta values in positive characteristic', 2023, to appear in Forum Math., Arxiv link  

 R. Harada, `On the period interpretation for some special values of Thakur hypergeometric functions', 2022, Arxiv link 

  Y.-T. Chen, R. Harada, `On lower bounds of the dimension of multizeta values in positive characteristic', Doc. Math. 26 (2021), 537–559, Arxiv link 

  R. Harada, `Alternating multizeta values in positive characteristic', Math. Z. 298 (2021), no. 3-4, 1263–1291, Arxiv link

  R. Harada, `On multi-poly-Bernoulli-Carlitz numbers', J. Number Theory 232 (2022), 406–422, Arxiv link 

 R. Harada, `On Lara Rodriguez' full conjecture for double zeta values in function fields ', Int. J. Number Theory, 14 (4) 2018 pp. 1081-1092, Arxiv link

  R. Harada, `On Euler's formulae for double zeta values', Kyushu J. Math. 72 (1), 2018 pp. 15-24, Arxiv link

Research survey:   ・R. Harada, `標数pの多重ゼータ値入門', (記述 松月大知氏) 2020, RIMS Kokyuroku No.2160 pp. 43-78,

・R. Harada, `On characteristic p alternating multizeta values', 2020, RIMS Kokyuroku No.2160 pp. 87-99,

・R. Harada, `KZ方程式とKZ結合子',  第26回整数論サマースクール報告集, (2019),  pdf(Japanese)

・R. Harada, `Eulerの二重ゼータ値の公式について', 2016, 第12回数学総合若手研究集会講究録, 

 北海道大学数学講究録 165, pp.174-175, (2016), pdf (Japanese) 

Talk list:  ・``Special values of polylogarithms in positive characteristic''

6th Aobayama zeta conference (第６回青葉山ゼータ研究集会), March 8th, 2024, Tohoku University, Sendai.

・``On the direct sum decomposition of the linear space generated by multizeta values in positive characteristic

(正標数多重ゼータ値の空間の直和分解について)''

Hachiouji Number Theory Seminar (八王子数論セミナー), Aug. 27th, 2023, Tokyo University of Science, Noda.

・``Introduction''

Hachiouji Number Theory Seminar (八王子数論セミナー), Aug. 24th, 2023, Tokyo University of Science, Noda.

・``On special values in positive characteristic (正標数の特殊値について)''

Number Theory Seminar in Tohoku University, May 22, 2023, Sendai.

・`` A function field analogue of colored multizeta values’’, 

One Day Workshop on Arithmetic of Function Fields, Nov. 19th, 2022, Nagoya University, Nagoya.

・`` Colored Multizeta Values in Positive Characteristic’’, 

NCTS Workshop on Function Field Arithmetic, Sep. 21st, 2022, NCTS, Hsinchu.

・``On linear independence among special values of Thakur hypergeometric functions''

Algebra/Number Theory Seminars  2022 April 15th, Univ. of Rochester, Zoom meeting

・``On Some Linear Independence Results for Special Values of Thakur Hypergeometric Functions''

Taipei Postdoc Seminar, March 16th, 2022, NCTS, Taipei. 

・``Special Values of Thakur Hypergeometric Functions and their Period Interpretation''

NCTS Number Theory Seminar,  Oct. 28th, 2021, NCTS, Hsinchu. 

・ ``On the linear independence of multizeta values in positive characteristic''

The 15th multiple zeta value workshop  & The 53rd Kansai  multiple zeta seminar (Joint workshop), Feb. 22-24, 2021, Zoom meeting.

・``On the dimension of the space generated by multizeta values in characteristic p''

      Japan Europe Number Theory Exchange Seminar,  Dec. 15th, 2020, Zoom meeting.

・``On the linear independence of certain multiple sums in positive characteristic''

  Annual Meeting of Taiwanese Mathematical Society, Dec. 5-6, 2020, Fu jen University, New Taipei.  

・``On a linear independence result of the deformation series in positive characteristic''

Kyushu Algebraic Number Theory in 2020 Summer on Zoom  (九州代数的整数論2020夏 on Zoom), Aug. 8-11, 2020, Zoom meeting. 

・``A positive characteristic analogue of alternating multizeta values''

Japan-Taiwan joint workshop on multiple zeta values  Feb. 8-11, 2020, Okinawaken Seinenkaikan (沖縄県青年会館), Naha.

・``Carlitz-Thakur multizeta values (Carlitz -Thakur多重ゼータ値)

course of lectures for students and  non-expert `Introduction to number theory in characteristic p', Jan. 17th, 2020, Nagoya University, Nagoya.

・``Carlitz zeta values and Carlitz modules (Carlitz ゼータ値とCarlitz 加群)

course of lectures for students and  non-expert `Introduction to number theory in characteristic p', Jan. 10th, 2020, Nagoya University, Nagoya.

・``Functions in characteristic p (標数pにおける関数)

course of lectures for students and  non-expert `Introduction to number theory in characteristic p', Dec. 20th, 2019, Nagoya University, Nagoya.

・``Numbers in characteristic p (標数pにおける数)

course of lectures for students and  non-expert `Introduction to number theory in characteristic p', Dec. 13th, 2019, Nagoya University, Nagoya.

・``On function field alternating multizeta values''

TMS Annual Meeting  Dec. 7-8, 2019, National Chung Hsing University, Taiwan.

・``Alternating multizeta values  in positive characteristic '' 

Various Aspects of Multiple Zeta Values (多重ゼータ値の諸相), Nov. 18-22, 2019 RIMS, Kyoto University, Kyoto.

・``Alternating Multizeta Values in Characteristic p''

NCTS Seminar on Number Theory, Oct. 16th, 2019 NCTS, Hsinchu.

・``On Euler's formulae for depth 2 multiple zeta values'',  

NCTS Seminar on Number Theory, March 13th, 2019 NCTS, Hsinchu.

・``KZ方程式とKZ結合子''

The 26th Number Theory Summer school (第26回整数論サマースクール), Sept. 10-14, 2018 Sea Park & Spa Irago, Nagoya. 

・``  正標数の多重ポリベルヌーイ数について''

Seminar on analytic number theory (解析数論セミナー), Aug. 31st, 2018  Nagoya University, Nagoya. 

・``On multi-poly-Bernoulli numbers in characteristic p''

Taiwan-Japan Joint Workshop on Multiple Zeta Values, Aug. 2-5, 2018 National Taiwan University, Taipei. 

・ `` On generalizations of Bernoulli-Carlitz numbers ''

The 17th Sendai-Hiroshima Number Theory Conference, July 10-13, 2018 Tohoku University, Sendai.

・``多重ポリベルヌーイ数の関数体類似について''

Seminar on algebra (代数学セミナー), June 18th, 2018 Tsukuba university, Tsukuba.  

・``On multi-poly-Bernoulli-Carlitz numbers''.

The 11th multiple zeta value workshop  & The 39th Kansai  multiple zeta seminar (Joint workshop) (第11回多重ゼータ研究集会 & 第39回関西多重ゼータ研究会 (共同開催) ), Feb. 16-18, 2018 Kindai University, Osaka.

・``Lara Rodriguez' full conjecture for double zeta values in characteristic p ''.

 Seminar on analytic number theory (解析数論セミナー), Oct. 13th, 2017,  Nagoya University, Nagoya. 

・``Lara Rodriguez' full conjecture for double zeta values in F_q[t]''. 

 NCTS One Day Workshop on Multiple Zeta Values in Positive Characteristic, Sept. 18th, 2017, NCTS, Hsinchu.

・``On Euler's methods for double zeta values''.   

 School of Mathematics  Seminars and Lectures, June 21st, 2017, TIFR, Mumbai.  

・``A full conjecture of J. A. Lara Rodriguez for double zeta values in characteristic p''

Mathematics Seminar July 5th, 2017, IISER, Pune. 

・``On Lara Rodriguez' full conjecture for double zeta values in function fields''

       The 10th Young Mathematicians Conference on Zeta Functions (第10回ゼータ若手研究集会) Feb. 20-23 2017,    Nagoya University, Nagoya​.

                      ・``Euler's relations for double zeta values'' 

       Aichi Number theory seminar (愛知数論セミナー) May 21st 2016, Nagoya Institute of Technology, Nagoya. 

                      ・``Euler’s methods on double zeta values'' 

       Workshop on Polylogarithms, MZVs and Mahler measures March 28-29 2016, Tohoku University, Sendai.

               ・``Euler の二重ゼータ値について''

                    The 12th Mathematics Conference for Young Researchers (第12回数学総合若手研究集会) Feb 29- March 3 2016, Hokkaido University, Sapporo. 

               ・``Euler’s formulae among double zeta values and double shuffle relation'' 

                    The 9th Young Mathematicians Conference on Zeta Functions (第9回ゼータ若手研究集会) Feb 15-18 2016, Okinawa Sen-in Kaikan Hotel, Naha.