Furuya Jun 古屋淳

… Alternative Names

FURUYA Jun 古屋淳

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Researcher Number	10413890
Other IDs
Affiliation (Current)	2025: 浜松医科大学, 医学部, 教授
Affiliation (based on the past Project Information) *help	2014 – 2021: 浜松医科大学, 医学部, 教授 2014: 浜松医科大学, 医学部総合人間科学講座, 教授 2011: 沖縄工業高等専門学校, 総合科学科, 講師 2006 – 2008: 沖縄工業高等専門学校, 総合科学科, 講師
Review Section/Research Field	Principal Investigator Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator ディリクレ級数 / 数論的誤差項 / 平均値定理 / 数論的関数 / 円問題 / 約数問題 / オメガ評価 / 最大公約数 / 約数関数の一般化 / メビウス関数 … More / オイラー関数 / 漸近公式 / 広義積分 / 生成関数の微分化 / 一般約数問題 / 指数対 / 周期的ベルヌーイ関数 / ガウスの円問題 / 近似関数等式 / オーダー評価 / 解析接続 … More Except Principal Investigator ヴォロノイ公式 / 離散和と連続和 / ベルヌーイ多項式 / 数論的誤差項 / 約数問題 / セルバーグクラス / ２乗平均値定理 / exponent pair / チャウラ-ワールムの公式 / 非対称多次元約数問題 / 短区間平均値定理 / Tongタイプの公式 / 微分約数問題 / ２乗平均 / Tong タイプの公式 / 多次元非対称約数問題 / ディリクレ約数問題 / 数論的関数 / 2乗平均 / 数論敵関数 / スターリング数 / ラマヌジャン / ランキン-セルバーグ級数 / ガウスの円問題 / ディリクレの約数問題 / 平均値定理 / 多重ゼータ関数 / リーマンゼータ関数 / チャウラ-ワールムの和 / 円問題 Less

Mean Value theorems of error terms related to various objects in number theoryPrincipal Investigator
- Principal Investigator
  
  Furuya Jun
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hamamatsu University School of Medicine
On reseaches of several properties of Dirichlet series and its related fieldsPrincipal Investigator
- Principal Investigator
  
  Furuya Jun
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Hamamatsu University School of Medicine
On analytic behaviour of zeta-function and its applications to the arithmetical error term
- Principal Investigator
  
  TANIGAWA Yoshio
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
Analytic properties of the error term arising from the arithmetical problems
- Principal Investigator
  
  TANIGAWA Yoshio
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Nagoya University
On the asymptotic behaviour and the mean value theorems for number-theoretic error termsPrincipal Investigator
- Principal Investigator
  
  FURUYA Jun
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Okinawa National College of Technology

All 2021 2020 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2006 Other

All Journal Article Presentation

[Journal Article] A note on the mean square of the greatest divisor of n which is coprime to a fixed integer k2021
- Author(s)
  Jun Furuya, Makoto Minamide T, Miyu Nakano
- Journal Title
  
  Indian Journal of Pure & Applied Mathematics
  
  Volume: 52 Issue: 4 Pages: 990-1003
- DOI
  10.1007/s13226-021-00103-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05166
[Journal Article] On a new circle problem2017
- Author(s)
  Jun Furuya, Makoto Minamide, Yoshio Tanigawa
- Journal Title
  
  Journal of the Australian Mathematical Society
  
  Volume: 印刷中 Issue: 2 Pages: 231-249
- DOI
  10.1017/s1446788716000525
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400030, KAKENHI-PROJECT-15K17512, KAKENHI-PROJECT-15K04778
[Journal Article] On a restricted divisor problem2016
- Author(s)
  Jun Furuya, Makoto Minamide, Yoshio Tanigawa
- Journal Title
  
  Journal of Indian Mathematical Society
  
  Volume: 83 Pages: 269-287
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-26400030
[Journal Article] Mean values of the error term with shifted arguments in the circile problem2014
- Author(s)
  J. Furuya, Y. Tanigawa
- Journal Title
  
  Notes on Number Theory and Discrete Mathematics
  
  Volume: 20 Pages: 44-51
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540015
[Journal Article] Moment integrals of 1/sin t and related zeta-values2014
- Author(s)
  Jun. Furuya, Makoto Minamide and Yoshio Tanigawa
- Journal Title
  
  Ramanujan J.
  
  Volume: 33 Issue: 3 Pages: 423-445
- DOI
  10.1007/s11139-013-9467-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740009, KAKENHI-PROJECT-24540015
[Journal Article] On the difference between two kinds of mean value formulas of number-theoretic error terms2014
- Author(s)
  X. Cao, J. Furuya, Y. Tanigawa, W. Zhai
- Journal Title
  
  International Journal of Number Theory
  
  Volume: 10 Issue: 05 Pages: 1143-1170
- DOI
  10.1142/s1793042114500195
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540015
[Journal Article] On the integrals containing the error term in the circle problem2014
- Author(s)
  J. Furuya, Y. Tanigawa
- Journal Title
  
  Functiones et Approximatio Commentarii Mathematici
  
  Volume: 51.2 Issue: 2 Pages: 303-333
- DOI
  10.7169/facm/2014.51.2.5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540015
[Journal Article] A generalized divisor problem and the sum of Chowla and Walum2013
- Author(s)
  X. Cao, J. Furuya, Y. Tanigawa, W. Zhai
- Journal Title
  
  Journal of Mathematical Analysis and Applications
  
  Volume: 400 Issue: 1 Pages: 15-21
- DOI
  10.1016/j.jmaa.2012.11.027
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540015
[Journal Article] A generalized divisor problem and the sum of Chowla and Walum II2013
- Author(s)
  X. Cao, J. Furuya, Y. Tanigawa, W. Zhai
- Journal Title
  
  Functiones et Approximatio Commentarii Mathematici
  
  Volume: 49.1 Issue: 1
- DOI
  10.7169/facm/2013.49.1.10
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24540015
[Journal Article] Explicit representations of the integral involving the error term of Dirichlet divisor problems II2012
- Author(s)
  J. Furuya, Y. Tanigawa
- Journal Title
  
  Glasgow Math. J.
  
  Volume: 54 Pages: 133-147
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] Explicit representation of the integral involving the error term of Dirichlet divisor problems II2012
- Author(s)
  J.Furuya, Y.Tanigawa
- Journal Title
  
  Glasgow Math.
  
  Volume: 54 Issue: 1 Pages: 133-147
- DOI
  10.1017/s0017089511000474
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012, KAKENHI-PROJECT-24540015
[Journal Article] Analytic properties of Dirichlet series obtained from the error term in the Dirichlet divisor problem2010
- Author(s)
  J.Furuya, Y.Tanigawa
- Journal Title
  
  Pacific J. Math. 245
  
  Pages: 239-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] On Dirichlet series obtained by the error term in the Dirichlet divisor problem2010
- Author(s)
  J. Furuya, Y. Tanigawa, W. Zhai
- Journal Title
  
  Monatsh. Math.
  
  Volume: 160 Pages: 385-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] Explicit representation of the integral involving the error term of Dirichlet divisor problems2010
- Author(s)
  J Furuya, Y Tanigawa
- Journal Title
  
  Acta Math Hungarica
  
  Volume: 129 Pages: 24-46
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] Analytic properties of Dirichlet series obtained from the error term of Dirichlet divior problem2010
- Author(s)
  J. Furuya, Y. Tanigawa
- Journal Title
  
  Pacific J. Math.
  
  Volume: 245- Pages: 239-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] On Dirichlet series obtained by the error term in the Dirichlet divisor problem2010
- Author(s)
  J Furuya,Y Tanigawa, W Zhai
- Journal Title
  
  Monatshefte Math
  
  Volume: 160 Pages: 385-402
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] Analytic properties of Dirichlet series obtained from the error term In the Dirichlet divisor problem2010
- Author(s)
  J Furuya, Y Tanigawa
- Journal Title
  
  Pacific J Math
  
  Volume: 245 Pages: 239-254
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] Explicit representations of the integral involving the error term of Dirichlet divisor probles2010
- Author(s)
  J. Furuya, Y. Tanigawa
- Journal Title
  
  Acta Math. Hungar
  
  Volume: 129 Pages: 24-46
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540012
[Journal Article] On k-freedivisor problem. II2008
- Author(s)
  Jun Furuya and Wenguang Zhai
- Journal Title
  
  Acta Arithmetica 132 No.4
  
  Pages: 351-358
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740022
[Journal Article] On the k-free divisor problem. II2008
- Author(s)
  Jun Furuya and Wenguang Zhai
- Journal Title
  
  Acta Arithmetica 132(4)
  
  Pages: 351-358
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740022
[Journal Article] On the k-free divisor problem2006
- Author(s)
  Jun Furuya, Wenguang Zhai
- Journal Title
  
  Acta Arithmetica 123(3)
  
  Pages: 267-287
- Data Source
  KAKENHI-PROJECT-18740022
[Journal Article] On k-freedivisor problem2006
- Author(s)
  Jun Furuya and Wenguang Zhai
- Journal Title
  
  Acta Arithmetica 123 No.3
  
  Pages: 267-287
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18740022
[Presentation] k と互いに素な最大公約数の二乗平均の誤差項について2020
- Author(s)
  中野実優、古屋淳、南出真
- Organizer
  日本数学会中国四国支部例会（岡山理科大学）
- Data Source
  KAKENHI-PROJECT-17K05166
[Presentation] k と互いに素な約数の最大数の平均について2018
- Author(s)
  井川祥彰、南出真、古屋淳、谷川好男
- Organizer
  日本数学会中国・四国支部例会（山口大学）
- Data Source
  KAKENHI-PROJECT-17K05166
[Presentation] On the number of k-free integers ≦ x which are coprime to m2018
- Author(s)
  井川祥彰、南出真、古屋淳、谷川好男
- Organizer
  日本数学会年会代数分科会（東京大学）
- Data Source
  KAKENHI-PROJECT-17K05166
[Presentation] 条件付きメビウス関数の和について2017
- Author(s)
  南出真、古屋淳、谷川好男
- Organizer
  日本数学会中国四国支部例会
- Place of Presentation
  愛媛大学
- Year and Date
  2017-01-22
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] ζ(s)ζ´(s), ζ(s)ζ´´(s), ζ´(s)ζ´´(s) の近似関数等式について2017
- Author(s)
  南出真、古屋淳、谷川好男
- Organizer
  日本数学会年会代数分科会
- Place of Presentation
  首都大学東京
- Year and Date
  2017-03-24
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] ゼータ関数の微分に関連した約数問題について2017
- Author(s)
  南出真、古屋淳、谷川好男
- Organizer
  日本数学会秋季総合分科会代数分科会（山形大学）
- Data Source
  KAKENHI-PROJECT-17K05166
[Presentation] 円問題および一般約数問題の微分化2016
- Author(s)
  古屋淳、南出真、谷川好男
- Organizer
  平成２７年度日本数学会中国四国支部例会
- Place of Presentation
  広島大学
- Year and Date
  2016-01-24
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] ζ´(s)2 の近似関数等式について2016
- Author(s)
  南出真、古屋淳、谷川好男
- Organizer
  日本数学会秋季総合分科会代数分科会
- Place of Presentation
  関西大学
- Year and Date
  2016-09-17
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] 制限約数問題について2016
- Author(s)
  谷川好男、古屋淳、南出真
- Organizer
  日本数学会２０１６年度年会・代数分科会
- Place of Presentation
  筑波大学
- Year and Date
  2016-03-16
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] 微分円問題における有限型 Voronoi 公式2015
- Author(s)
  南出真、古屋淳、谷川好男
- Organizer
  日本数学会２０１５年度秋季総合分科会・代数分科会
- Place of Presentation
  京都産業大学
- Year and Date
  2015-09-13
- Data Source
  KAKENHI-PROJECT-26400030
[Presentation] 数論的誤差項の2種類の平均値の差の解析について2012
- Author(s)
  谷川好男,古屋淳
- Organizer
  第126回日本数学会九州支部例会
- Place of Presentation
  九州工業大学
- Year and Date
  2012-02-11
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 約数問題の誤差項を含む広義積分の明示公式の初等的な導出法について(with谷川好男)2011
- Author(s)
  古屋淳
- Organizer
  日本数学会年会九州支部会
- Place of Presentation
  福岡教育大学
- Year and Date
  2011-02-11
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 約数問題の誤差項を含む広義積分の明示公式の初等的な導出法について2011
- Author(s)
  谷川好男,古屋淳
- Organizer
  第124回日本数学会九州支部例会
- Place of Presentation
  福岡教育大学
- Year and Date
  2011-02-11
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 円問題の誤差項を含む積分の性質について2011
- Author(s)
  谷川好男,古屋淳
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  信州大学
- Year and Date
  2011-10-01
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 約数問題の誤差項を係数に持つDhrichlet級数の性質について2010
- Author(s)
  谷川好男, 古屋淳
- Organizer
  日本数学会年会
- Place of Presentation
  慶應義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 約数問題の誤差項を含む積分の性質について2010
- Author(s)
  谷川好男,古屋淳
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-25
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] 約数問題の誤差項を係数に持つDirichlet級数の性質について2010
- Author(s)
  谷川好男,古屋淳
- Organizer
  日本数学会年会
- Place of Presentation
  慶応義塾大学
- Year and Date
  2010-03-26
- Data Source
  KAKENHI-PROJECT-21540012
[Presentation] Dirichlet series obtained from the error term in the Dirichlet divisor problem2009
- Author(s)
  古屋淳, 谷川好男, Zhai Wenguang
- Organizer
  第120回日本数学会九州支部会例会
- Place of Presentation
  福岡大学理学部
- Year and Date
  2009-01-31
- Data Source
  KAKENHI-PROJECT-18740022
[Presentation] Dirichlet series obtained from the errorterm in the Dirichlet divisor problem2009
- Author(s)
  古屋淳、谷川好男、Zhai Wenguang
- Organizer
  第120回日本数学会九州支部例会
- Place of Presentation
  福岡大学理学部
- Year and Date
  2009-01-31
- Data Source
  KAKENHI-PROJECT-18740022
[Presentation] Representations and evaluations of the error term in a certain divisor problem
- Author(s)
  古屋淳，南出真, 谷川好男
- Organizer
  日本数学会九州支部例会
- Place of Presentation
  宮崎大学工学部
- Data Source
  KAKENHI-PROJECT-24540015
[Presentation] 整数点からずらした変数を持つ誤差項の平均値定理について
- Author(s)
  谷川好男,古屋淳
- Organizer
  日本数学会年会
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-24540015
[Presentation] Mean value of the error term with shifted arguments in the circle problem
- Author(s)
  古屋淳，谷川好男
- Organizer
  日本数学会年会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-24540015
[Presentation] 4 を法とするディリクレL- および多重 L- 値の間の関係について
- Author(s)
  谷川好男, 古屋淳, 南出真
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  九州大学伊都キャンパス
- Data Source
  KAKENHI-PROJECT-24540015

1. TANIGAWA Yoshio (50109261)

# of Collaborated Projects: 3 results

# of Collaborated Products: 32 results
2. MINAMIDE Makoto (80596552)

# of Collaborated Projects: 2 results

# of Collaborated Products: 11 results
3. KANEMITSU Shigeru (60117091)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
4. KIUCHI Isao (30271076)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Furuya Jun 古屋 淳

FURUYA Jun 古屋 淳

Research Projects

Research Products

Co-Researchers

Mean Value theorems of error terms related to various objects in number theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On reseaches of several properties of Dirichlet series and its related fieldsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On analytic behaviour of zeta-function and its applications to the arithmetical error term

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analytic properties of the error term arising from the arithmetical problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On the asymptotic behaviour and the mean value theorems for number-theoretic error termsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] A note on the mean square of the greatest divisor of n which is coprime to a fixed integer k2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On a new circle problem2017

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On a restricted divisor problem2016

Author(s)

Journal Title

Data Source

[Journal Article] Mean values of the error term with shifted arguments in the circile problem2014

Author(s)

Journal Title

Data Source

[Journal Article] Moment integrals of 1/sin t and related zeta-values2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the difference between two kinds of mean value formulas of number-theoretic error terms2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] On the integrals containing the error term in the circle problem2014

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A generalized divisor problem and the sum of Chowla and Walum2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A generalized divisor problem and the sum of Chowla and Walum II2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Explicit representations of the integral involving the error term of Dirichlet divisor problems II2012

Author(s)

Furuya Jun 古屋淳

FURUYA Jun 古屋淳