Rchr
J-GLOBAL ID：201801001362358730
Update date: Mar. 13, 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
Show all
Papers (50)：
-
Kiuchi Isao. On sums of sums involving THE LIOUVILLE FUNCTION. F.A.C.M. 2024
-
Isao Kiuchi. On a sum involving squarefull numbers II. Moscow Journal of Combinatorics and Number Theory. 2023. 12. 3. 241-246
-
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
-
Kiuchi Isao. Sums of logarithmic weights involving r-full numbers. 2023
-
Shōta Inoue, Isao Kiuchi. On sums of gcd-sum functions. International Journal of Number Theory. 2023. 19. 3. 593-619
ｍore...
MISC (5)：
-
Isao Kiuchi, Sumaia Saad Eddin. On the weighted average number of subgroups of Zm×Zn with mn≤x. International Journal of Number Theory. 2020
-
Isao Kiuchi, Friedrich Pillichshammer, Sumaia Saad Eddin. On the multivariable generalization of Anderson-Apostol sums. 2018
-
Isao Kiuchi, Sumaia Saad Eddin. On sums of logarithmic averages of gcd-sum functions. 2018
-
Isao Kiuchi, Sumaia Saad Eddin. Sums of gcd-sum functions with weights concerning the Gamma function and Bernoulli polynomials. 2018
-
Isao Kiuchi, Sumaia Saad Eddin. Sums of weighted averages of gcd-sum functions II. 2018
Lectures and oral presentations (6)：
-
Sums involving square-full numbers
(2021)
-
On sums involving the Euler totient function
(2021)
-
On sums of sums involving squarefull numbers
(2021)
-
ゼータ函数の性質
(日本数学会中国・四国支部例会 2008)
-
ゼータ函数の性質
(日本数学会中国・四国支部例会 2007)
ｍore...
Works (7)：
-
一期一会
2010 -
-
題目:鼻 (入選)
2006 -
-
グループの絵画展
2004 -
-
絵画と彫刻を発表
2003 -
-
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
ｍore...
Professional career (1)：
- Doctor of Science (Keio University)
Association Membership(s) (1)：
THE MATHEMATICAL SOCIETY OF JAPAN
