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UMEGAKI Yumiko  梅垣 由美子

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… Alternative Names

梅垣 由美子  ウメガキ ユミコ

UMEGAKI YUMIKO  梅垣 由美子

ICHIHARA Yumiko  市原 由美子

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Researcher Number 80372689
Other IDs
Affiliation (Current) 2025: 奈良女子大学, 自然科学系, 教授
Affiliation (based on the past Project Information) *help 2023: 奈良女子大学, 自然科学系, 教授
2022: 奈良女子大学, 自然科学系, 准教授
2012 – 2018: 奈良女子大学, 自然科学系, 准教授
2017: 奈良女子大学, 理学部, 准教授
2010 – 2011: Hiroshima University, 理学部, 准教授 … More
2009: Hiroshima University, 大学院・工学研究科, 准教授
2007 – 2008: Hiroshima University, 大学院・工学研究科, 助教
2005 – 2006: 広島大学, 大学院工学研究科, 助手
2004: 広島大学, 大学院・工学研究科, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Basic Section 11010:Algebra-related / Algebra
Keywords
Principal Investigator
特殊値 / 数論 / 整数論 / class number / analytic rank / 値分布 / 類数 / ジーゲル・竜沢の定理 / 蘭数 / L関数 … More / non-vanishing / Hilbert modular form / アイゼンシュタイン級数 / 2の保型形式 / 重さ3 / L関数の特殊値 / クロネッカー・フルビッツの類数公式 / 二次形式の類数 … More
Except Principal Investigator
普遍性 / ゼータ関数 / 値分布 / Schur 多重ゼータ関数 / 多重ゼータ関数 / 極限定理 / 値分布論 / 対称積 L 関数 / L 関数 / Goldbach 個数関数 / 対称積L関数 / M 関数 / Giambelli 公式 / 零点分布 / p進多重L関数 / 多重ポリログ / 零点集合 / 混合型普遍性 / 特殊値 / 超平面配置 / 双曲線関数 / 保型 L 関数 / 保型L関数 / Poincare 多項式 / Laurent 展開 / 不確定特異点 / Riemann 予想 / Goldbach 予想 / ルート系 / L関数 / 混合普遍性 / Dirichlet のL関数 / 特異点解消多重ゼータ関数 / 多重保型 L 関数 / p進多重ゼータ関数 / 関数関係式 / 関数等式 / ルート系のゼータ関数 Less
  • Research Projects

    (5 results)
  • Research Products

    (24 results)
  • Co-Researchers

    (10 People)
  •  Value-distribution theory of zeta and multiple zeta functions

    • Principal Investigator
      松本 耕二
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Aichi Institute of Technology
      Nagoya University
  •  A study on algebraic and analytic behavior of multiple zeta-functions and multiple automorphic L-functions

    • Principal Investigator
      Matsumoto Kohji
    • Project Period (FY)
      2013 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  The order of zeros of automorphic L -functions and the value of L-functionsPrincipal Investigator

    • Principal Investigator
      Umegaki Yumiko
    • Project Period (FY)
      2011 – 2018
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Nara Women's University
  •  Class number and values of L-functions with cusp formsPrincipal Investigator

    • Principal Investigator
      ICHIHARA Yumiko
    • Project Period (FY)
      2007 – 2010
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University
  •  解析数論の保型L関数への応用Principal Investigator

    • Principal Investigator
      市原 由美子
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University

All 2020 2019 2018 2017 2016 2011 2010 2009 2008

All Journal Article Presentation

  • [Journal Article] Bicubic number fields with large class numbers2020

    • Author(s)
      Yasuko Morita, Atsuki Umegaki and Yumiko Umegaki
    • Journal Title

      Various Aspects of Multiple Zeta Functions in honor of Professor Kohji Matsumoto's 60th birthday, Adv. Stud. Pure Math.

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740020
  • [Journal Article] On the density function for the value-distribution of automorphic L-functions2019

    • Author(s)
      Kohji Matsumoto and Yumiko Umegaki
    • Journal Title

      Journal of Number Theory

      Volume: 198 Pages: 176-199

    • DOI

      10.1016/j.jnt.2018.10.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740020, KAKENHI-PROJECT-16H06336
  • [Journal Article] On the value-distribution of symmetric power L-functions2019

    • Author(s)
      Kohji Matsumoto and Yumiko Umegaki
    • Journal Title

      lecture note series of the Ramanujan Mathematical Society

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740020
  • [Journal Article] On the value-distribution of the difference between logarithms of two symmetric power L-functions2018

    • Author(s)
      Kohji Matsumoto, Yumiko Umegaki
    • Journal Title

      International Journal of Number Theory

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23740020
  • [Journal Article] On the value-distribution of the difference between logarithms of two symmetric power L-functions2018

    • Author(s)
      Matsumoto Kohji、Umegaki Yumiko
    • Journal Title

      International Journal of Number Theory

      Volume: 14 Issue: 07 Pages: 2045-2081

    • DOI

      10.1142/s1793042118501245

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16H06336, KAKENHI-PROJECT-23740020
  • [Journal Article] The first moment of L-functions of primitive forms on $¥Gamma_0(p^{¥alpha})$ and a basis of old forms2011

    • Author(s)
      Yumiko Ichihara
    • Journal Title

      Journal of Number Theory

      Volume: 131 Pages: 343-362

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] The first moment of L-functions of primitive forms on $\Gamma_0(p^{\alpha})$ and a basis of old forms.2011

    • Author(s)
      Y.Ichihara
    • Journal Title

      Journal of Number Theory vol.131, no.2

      Pages: 343-362

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] Non-vanishing of the value of L-functions attached to primitive forms at a fixed point on the critical line2010

    • Author(s)
      Y.Ichihara
    • Journal Title

      数理解析研究所講究録 1710

      Pages: 29-41

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] 保型L関数のnon-vanishing theorem2009

    • Author(s)
      Y.Ichihara
    • Journal Title

      第二回数論女性の集まり報告集

      Pages: 1-5

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] On the Siegel -Tatuzawa theorem for a class of L-functions2008

    • Author(s)
      Yumiko Ichihara
    • Journal Title

      Kyushu Journal Mathematics Vol.62no.1

      Pages: 201-215

    • NAID

      110006648022

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] Estimates of a certain sum involving coefficents of cusp forms in weight and level aspects2008

    • Author(s)
      Yumiko Ichihara
    • Journal Title

      Lithuanian Mathematial Journal Vol.48

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] On the Siegel-Tatuzawa theorem for a class of L-functions2008

    • Author(s)
      Y.Ichihara, K.Matsumoto
    • Journal Title

      Kyushu J.Math. vol.62

      Pages: 201-215

    • NAID

      110006648022

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] Siegel-Tatuzawaの定理について2008

    • Author(s)
      Y.Ichihara
    • Journal Title

      第一回数論女性の集まり報告集

      Pages: 1-9

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Journal Article] Estimates of a certain sum involving coefficients of cuspforms in weight and level aspects2008

    • Author(s)
      Y.Ichihara
    • Journal Title

      Lithuanian Math.J. vol.48, no.2

      Pages: 188-202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] On the value-distribution of the difference between logarithms of two symmetric power L-functions2017

    • Author(s)
      Yumiko Umegaki
    • Organizer
      Various Aspects of Multiple Zeta Function
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23740020
  • [Presentation] On the value-distribution of the difference between logarithms of two symmetric power L-functions2016

    • Author(s)
      Kohji Matsumoto and Yumiko Umegaki
    • Organizer
      Aspects on Universality 2016
    • Place of Presentation
      University of Wurzburg, Germany
    • Year and Date
      2016-05-06
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23740020
  • [Presentation] Non-vanishing of the automorphic L-functions at the pointon the critical line.2010

    • Author(s)
      Y.Ichihara
    • Organizer
      The 15th. Joint Workshop on Numver Theory between Japan and Taiwan
    • Place of Presentation
      (in Waseda University, Organizers : YU Jing(National Taiwan Univ.), KOMATSUKei-ichi (Waseda Univ.), HASHIMOTO Ki-ichiro (Waseda Univ.), UMEGAKIAtsuki(WIAS)
    • Year and Date
      2010-03-19
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] The first moment of the value of automorphic L-functions over primitive forms on the critical line.2009

    • Author(s)
      Y.Ichihara
    • Organizer
      CONFERENCE IN NUMBER THEORY
    • Place of Presentation
      Carleton University, CANADA,Organizers : Saban Alaca, Gary Walsh, Kenneth Williams
    • Year and Date
      2009-06-27
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] 保型L関数のnon-vanishing theorem.2009

    • Author(s)
      Y.Ichihara
    • Organizer
      研究集会「第二回数論女性の集まり」
    • Place of Presentation
      (早稲田大学, 世話人:広中由美子, 太田香, 川内真由美, 市原由美子)
    • Year and Date
      2009-05-09
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] Non-vanishing of the value of the L-functions attached to primitive forms on the critical line.2009

    • Author(s)
      Y.Ichihara
    • Organizer
      研究集会「解析整数およびその周辺の諸問題」(研究代表者:津村博文)
    • Place of Presentation
      京都大学数理解析研究所,
    • Year and Date
      2009-10-14
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] Cusp formに付随するL関数の1/2+itにおけるfirst moment2009

    • Author(s)
      Y.Ichihara
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] primitive formに対する保型L関数のcritical line上の点におけるfirst moment.2009

    • Author(s)
      Y.Ichihara
    • Organizer
      研究集会「第2回ゼータ若手研究集会」
    • Place of Presentation
      名古屋大学, 代表者:佐々木義卓
    • Year and Date
      2009-02-21
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] Siegel-Tatuzawaの定理について2008

    • Author(s)
      Y.Ichihara
    • Organizer
      研究集会「第一回数論女性の集まり」
    • Place of Presentation
      於早稲田大学, 世話人:広中由美子, 太田香, 大溪幸子, 市原由美子)
    • Year and Date
      2008-05-17
    • Data Source
      KAKENHI-PROJECT-19740015
  • [Presentation] Estimates of a certain sum involving coefficients of cusp forms in weight and level aspects.2008

    • Author(s)
      Y.Ichihara
    • Organizer
      French-Japanese Winter School on Zeta and L-functions
    • Place of Presentation
      in Miura-kaigan, Organizers : K.Matsumoto and H.Tsumura
    • Year and Date
      2008-01-08
    • Data Source
      KAKENHI-PROJECT-19740015
  • 1.  Matsumoto Kohji (60192754)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 2.  TSUMURA HIROFUMI (20310419)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  KANEKO MASANOBU (70202017)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  OHNO YASUO (70330230)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  SHOJI MAYUMI (10216161)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  FURUSHO HIDEKAZU (60377976)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  YAMASAKI YOSHINORI (00533035)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  NAKAMURA TAKASHI (50532355)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  小森 靖 (80343200)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  峰 正博 (80935974)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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