Rchr
J-GLOBAL ID：201801001362358730
Update date: Oct. 09, 2024
Kiuchi Isao
キウチ イサオ | Kiuchi Isao
Affiliation and department：
Research theme for competitive and other funds (20)：
- 2021 - 2025 On sums of arithmetic functions involving gcd-sum functions
- 2010 - 2014 Research on holomorphic mappings of Riemann surfaces----roles of handles played in the existence problem of holomorphic mappings
- 2011 - 2013 Studies on special linear series and Weierstrass points on compact Riemann surfaces
- 2009 - 2011 Homotopy theory on singularities of differentiable maps and K-invariant spaces of the jet spaces
- 2009 - 2011 Analytic properties of the error term arising from the arithmetical problems
- 2007 - 2009 Holomorphic mappings of Riemann surfaces with handles
- 2006 - 2008 n-harmonic maps and conformal structures on Riemannian manifolds
- 2005 - 2007 Study on submanfolds of homogeneous spaces from the view of orbital Grassmann geometry
- 2005 - 2007 Beneath on analytic properties ofvarious zeta-functions
- 2004 - 2005 Research of invariants of singularities of smooth mappings
- 2001 - 2002 Study on Artinian rings with priority given to Quasi-Frobenius rings
- 2000 - 2002 Holomorphic mappings and moduli of Riemann surfaces
- 2000 - 2002 Studies on the analytic behaviour of number theoretic L-functions
- 2000 - 2001 Research of quasi-Frobenius rings and representation theory
- 1999 - 2000 Sum formulas for arithmetical functions and mean value theorem for the zeta functions
- 1998 - 1999 Variational Formula for Quasiconformal Mappings
- 1998 - 1999 Mean values and Asymptotic Behavior on Arithmetical Functions
- 1998 - 1999 Meromorphic functions on Riemann surfaces, Weierstrass points
- 1997 - 1999 Behavior of Zeta and L-functions and their arithmetic meaning
- 1995 - 1995 リーマン・ゼータ関数の近似関数等式に関する残余項の研究
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Papers (51)：
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Isao Kiuchi, Wataru Takeda. On sums of sums involving the von Mangoldt function. Results in math. 2024. 79. 247
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Kiuchi Isao. On sums of sums involving THE LIOUVILLE FUNCTION. Func. Approx Comment Math. 2024. 70. 245-262
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Kiuchi Isao. Sums of logarithmic weights involving r-full numbers. The Ramanujan Journal. 2024. 28. 1045-1059
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Isao KIuchi, Yuki Tsuruta. On sums involving the Euler totient function. Bull. Australian Math. Soc , published online by Cambridge Univ. Press 24 August 2023. 2023
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Isao Kiuchi. On a sum involving squarefull numbers II. Moscow Journal of Combinatorics and Number Theory. 2023. 12. 3. 241-246
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MISC (5)：
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Isao Kiuchi, Sumaia Saad Eddin. On the weighted average number of subgroups of Zm×Zn with mn≤x. International Journal of Number Theory. 2020
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Isao Kiuchi, Friedrich Pillichshammer, Sumaia Saad Eddin. On the multivariable generalization of Anderson-Apostol sums. 2018
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Isao Kiuchi, Sumaia Saad Eddin. On sums of logarithmic averages of gcd-sum functions. 2018
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Isao Kiuchi, Sumaia Saad Eddin. Sums of gcd-sum functions with weights concerning the Gamma function and Bernoulli polynomials. 2018
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Isao Kiuchi, Sumaia Saad Eddin. Sums of weighted averages of gcd-sum functions II. 2018
Lectures and oral presentations (6)：
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Sums involving square-full numbers
(2021)
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On sums involving the Euler totient function
(2021)
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On sums of sums involving squarefull numbers
(2021)
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ゼータ函数の性質
(日本数学会中国・四国支部例会 2008)
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ゼータ函数の性質
(日本数学会中国・四国支部例会 2007)
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Works (7)：
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一期一会
2010 -
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題目:鼻 (入選)
2006 -
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グループの絵画展
2004 -
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絵画と彫刻を発表
2003 -
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第15回現代日本絵画展(宇部ビエンナーレ)入選、題目:7月
2002 - 2002
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Professional career (1)：
- Doctor of Science (Keio University)
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
