Updated on 2026/06/04

Information

 

写真a

 
IKEDA KARIN
 
Organization
Institute of Mathematics for Industry Division of Applied Mathematics Assistant Professor
Joint Graduate School of Mathematics for Innovation (Concurrent)
Graduate School of Mathematics Department of Mathematics(Concurrent)
School of Sciences Department of Mathematics(Concurrent)
Title
Assistant Professor
Contact information
メールアドレス
External link

Research Areas

  • Natural Science / Algebra

Research History

  • Kyushu University Institute of Mathematics for Industry Assistant Professor 

    2026.4 - Present

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  • Japan Society for the Promotion of Science Research Fellow (DC2)  

    2025.4 - 2026.3

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Education

  • Kyushu University   Joint Graduate School of Mathematics for Innovation, Doctoral Course  

    2024.4 - 2026.3

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  • Kyushu University   Joint Graduate School of Mathematics for Innovation, Master course  

    2022.4 - 2024.3

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  • Tokyo University of Science   Faculty of Science, Division 1   Department of Mathematics

    2018.4 - 2022.3

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Research Interests・Research Keywords

  • Research theme: Number theory

    Keyword: Number theory

    Research period: 2026

Awards

  • 学術研究活動表彰

    2026.3   九州大学春季学位記授与式  

    池田香凜

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  • 第8回伊藤早苗賞 女子大学院生部門 最優秀賞

    2025.11   九州大学  

    池田香凜

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  • 学術研究活動表彰

    2024.3   九州大学春季学位記授与式  

    池田香凜

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  • 第12回九州若手数学賞

    2024.2  

    池田香凜

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  • 第9回九州若手数学者発表賞

    2024.2  

    池田香凜

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Papers

  • Hurwitz–Lerch type central binomial series Reviewed

    Karin Ikeda, Yuta Kadono

    The Ramanujan Journal   69 ( 3 )   2026.2   ISSN:1382-4090 eISSN:1572-9303

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    We introduce a Hurwitz version of the central binomial series, by adding a real parameter. We generalize several known results for the classical central binomial series on the values at integer points to our new function.

    DOI: 10.1007/s11139-026-01337-1

    Web of Science

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    Other Link: https://link.springer.com/article/10.1007/s11139-026-01337-1

  • The average number of Goldbach representations over multiples of q Reviewed

    Suriajaya Ade Irma, Ikeda Karin

    Functiones et Approximatio Commentarii Mathematici   73 ( 2 )   169 - 183   2025   ISSN:02086573

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Adam Mickiewicz University (Euclid)  

    We discuss the evaluation of the average number of Goldbach representations for integers which are multiples of q introduced by Granville. We improve an estimate given by Granville under the generalized Riemann hypothesis.

    DOI: 10.7169/facm/240922-30-1

    Web of Science

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  • On real zeros of the Hurwitz zeta function (Analytic Number Theory and Related Topics)

    Ikeda Karin

    RIMS Kokyuroku   2285   130 - 137   2024.6   ISSN:18802818

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    Language:Japanese   Publisher:京都大学数理解析研究所  

    本稿は2023年度RIMS共同研究(公開型)「解析的整数論とその周辺」における著者の講演に基づくものである.同様の講演を「第16回数論女性の集まり」(2023年10月)で行い,その報告集に寄稿した[8].以下[8]と重複する部分も多いが証明の鍵となった多項式列の考察と今後の課題を今回新たに付け加えた.

    CiNii Research

  • On real zeros of the Hurwitz zeta function Reviewed

    Karin Ikeda

    Journal of Number Theory   258   269 - 280   2024.5   ISSN:0022-314X eISSN:1096-1658

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:Elsevier BV  

    In this paper, we present results on the uniqueness of the real zeros of the Hurwitz zeta function in given intervals. The uniqueness in question, if the zeros exist, has already been proved for the intervals (0,1) and (−N,−N+1) for N≥5 by Endo-Suzuki and Matsusaka, respectively. We prove the uniqueness of the real zeros in the remaining intervals by examining the behavior of certain associated polynomials.

    DOI: 10.1016/j.jnt.2023.11.012

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  • Multiple zeta values and Euler's reflection formula for the gamma function Reviewed

    Karin Ikeda, Mika Sakata

    Commentarii mathematici Universitatis Sancti Pauli   71   71 - 76   2024.5

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    Language:English  

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Presentations

  • ガンマ関数と多重ゼータ値2

    池田香凜

    第15回数論女性の集まり  2022.6 

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    Event date: 2022.6

    Language:Japanese   Presentation type:Oral presentation (general)  

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  • An alternative proof of asymptotic formulas for the Fourier coefficients of elliptic modular functions Invited

    池田香凜

    神楽坂整数論研究集会  2025.8 

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  • 楕円モジュラーj-関数のフーリエ係数の漸近公式について Invited

    池田香凜

    都立大整数論セミナー  2025.11 

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  • 多重ゼータ値およびフルヴィッツゼータ関数の研究 Invited

    池田香凜

    第150回日本数学会九州支部例会  2024.2 

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  • ガンマ関数と多重ゼータ値

    池田香凜

    マス・フォア・イノベーション連係学府シンポジウム  2022.6 

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  • アザラシ類の歯形態のモデリングと形態測定学的解析

    池田香凜

    2023年度数理生物学年会  2023.9 

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  • アザラシ類の歯形態のモデリングと形態測定学的解析 Invited

    池田香凜

    第52回 非線形発展方程式セミナー  2025.11 

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  • The distinct partition function via probability Invited

    Karin Ikeda

    Modular in Bielefeld  2025.6 

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  • The average number of Goldbach representations over multiples of q Invited

    池田香凜

    第18回多重ゼータ研究会&第64回関西多重ゼータ研究会  2024.2 

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  • The average number of Goldbach representations over multiples of q

    池田香凜

    第17回数論女性の集まり  2024.6 

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  • On real zeros of the Hurwitz zeta function

    Karin Ikeda

    Conference for Young Number Theorists in Bonn  2023.9 

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  • On real zeros of the Hurwitz zeta function

    Karin Ikeda

    Analytic Number Theory and Related Topics  2023.10 

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  • On real zeros of the Hurwitz zeta function Invited

    池田香凜

    東北大学整数論セミナー  2023.10 

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  • On real zeros of the Hurwitz zeta function Invited

    池田香凜

    京都大学数論合同セミナー  2023.11 

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  • On real zeros of the Hurwitz zeta function

    池田香凜

    第16回数論女性の集まり  2023.6 

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  • On real zeros of the Hurwitz zeta function

    池田香凜

    第22回広島仙台整数論集会  2023.7 

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  • On real zeros of the Hurwitz zeta function

    Karin Ikeda

    36th Automorphic Forms Workshop  2024.5 

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  • Multiple zeta values and Euler's reflection formula for the gamma function

    池田香凜

    第17回多重ゼータ研究集会&第61回関西多重ゼータ研究集会  2023.2 

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  • Multiple zeta values and Euler's reflection formula for the gamma function Invited

    池田香凜

    第53回神楽坂代数学セミナー  2022.11 

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  • Multiple zeta values and Euler's reflection formula for the gamma function

    Karin Ikeda

    Forum "Math-for-Industry" 2022  2022.11 

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  • Modeling and morphometric analysis of seal teeth

    Karin Ikeda

    ACMB-JSMB2025  2025.7 

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  • Hurwitzゼータ関数の実零点について

    池田香凜

    第148回日本数学会九州支部例会  2023.2 

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  • Hurwitz-Lerch type central binomial series Invited

    Karin Ikeda

    Number Theory Seminar  2024.10 

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  • Hurwitz-Lerch type central binomial series Invited

    Karin Ikeda

    Workshop "Mathematics for Innovation" on Ito Campus 2025  2025.1 

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  • Hurwitz 版中央二項級数の特殊値と超幾何級数表示について Invited

    池田香凜

    第7回解析数論セミナーII  2024.6 

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  • Asymptotic formulas for various partition functions Invited

    Karin Ikeda

    PNU-Kyushu Young Researchers Workshop on Mathematics for Industry  2026.1 

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  • Asymptotic formulas for some arithmetical functions via probability theory Invited

    Karin Ikeda

    Faculty seminar  2026.2 

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  • Asymptotic formulas for some arithmetical functions via probability theory Invited

    Karin Ikeda

    Workshop and Mini-course on Random matrices, related topics 2026  2026.4 

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  • An alternative proof of the asymptotic formula for the Fourier coefficients of the elliptic modular j-function

    Karin Ikeda

    Analytic number theory and related topics  2025.10 

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Professional Memberships

  • 日本数理生物学会

    2025.1 - Present

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Research Projects

  • フルヴィッツゼータ関数と多重フルヴィッツゼータ関数の零点と特殊値の研究

    Grant number:25KJ1953  2025.4 - 2027.3

    Grants-in-Aid for Scientific Research  Grant-in-Aid for JSPS Fellows

    池田 香凜

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    Grant type:Scientific research funding

    リーマンゼータ関数やL関数の零点については有名なリーマン予想に関連する研究など膨大な過去の研究がある.しかし,フルヴィッツゼータ関数の零点については研究結果が少なかった.そのような中でフルヴィッツゼータ関数の実零点について研究をしてきたが,その零点の挙動についてはまだ全て明らかにされていない.本研究では実零点のより詳細な振る舞いの解明や複素パラメータに対する零点を研究し,その発展として,多重フルヴィッツゼータ関数の零点を過去の研究を参考にしながら計算機なども用いて行う.更には,多重フルヴィッツゼータ関数や多重L関数の特殊値の研究を超越数論で知られている技術を用いることで行う.

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