×
Author ID: kiuchi.isao Recent zbMATH articles by "Kiuchi, Isao"
Published as: Kiuchi, Isao; Kiuchi, I.; Kuchi, Isao
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 101 times in 46 Documents Cited by Year
On an exponential sum involving the arithmetic function \(\sigma _ a(n)\). Zbl 0643.10032
Kiuchi, Isao
9
1987
Bounds for double zeta-functions. Zbl 1170.11317
Kiuchi, Isao; Tanigawa, Yoshio
9
2006
Sums of averages of generalized Ramanujan sums. Zbl 1421.11009
Kiuchi, Isao
8
2017
Analytic properties of double zeta-functions. Zbl 1253.11084
Kiuchi, I.; Tanigawa, Y.; Zhai, W.
6
2011
On a sum involving the Möbius function. Zbl 1332.11088
Kiuchi, I.; Minamide, M.; Tanigawa, Y.
6
2015
Sums of averages of gcd-sum functions. Zbl 1422.11198
Kiuchi, Isao
5
2017
Sums of weighted averages of \(\gcd\)-sum functions. Zbl 1441.11007
Kiuchi, Isao; Saad Eddin, Sumaia
5
2018
Mean square formula for the double zeta-function. Zbl 1407.11107
Kiuchi, Isao; Minamide, Makoto
4
2016
An improvement on the mean value formula for the approximate functional equation of the square of the Riemann zeta-function. Zbl 0787.11034
Kiuchi, Isao
4
1993
On sums of averages of generalized Ramanujan sums. Zbl 1425.11160
Kiuchi, Isao
4
2017
Sums of products of generalized Ramanujan sums. Zbl 1415.11013
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
4
2016
Averages of Anderson-Apostol’s sums. Zbl 1425.11161
Kiuchi, Isao; Minamide, Makoto; Ueda, Masaaki
4
2016
The mean value theorem of the divisor problem for short intervals. Zbl 0926.11072
Kiuchi, Isao; Tanigawa, Yoshio
3
1998
Bounds for triple zeta-functions. Zbl 1228.11131
Kiuchi, I.; Tanigawa, Y.
3
2008
On arithmetical functions related to the Ramanujan sum. Zbl 1027.11006
Kiuchi, Isao; Tanigawa, Yoshio
3
2002
Mean value results for the approximate functional equation of the square of the Riemann zeta-function. Zbl 0761.11035
Kiuchi, Isao; Matsumoto, Kohji
3
1992
On sums of sums involving squarefull numbers. Zbl 1497.11239
Kiuchi, Isao
3
2021
The mean value formula for the approximate functional equation of \(\zeta^ 2(s)\) in the critical strip. Zbl 0822.11059
Kiuchi, Isao
2
1995
The mean values of the double zeta-function. Zbl 1427.11081
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
2
2017
The fourth power moment of the double zeta-function. Zbl 1432.11119
Kiuchi, Isao
2
2016
Riesz means of the Euler totient function. Zbl 1479.11020
Inoue, Shota; Kiuchi, Isao
2
2019
On some integrals involving the Riemann zeta-function in the critical strip. Zbl 0828.11042
Ivić, Aleksandar; Kiuchi, Isao
1
1994
The resemblance of the behaviour of the remainder terms \(E_{\sigma}(t), \Delta_{1-2\sigma}(x)\) and \(R(\sigma+it)\). Zbl 0933.11043
Kiuchi, Isao; Matsumoto, Kohji
1
1997
On the mean-square for the approximate functional equation of the Riemann zeta-function. Zbl 0794.11035
Kiuchi, Isao
1
1993
Power moments for the double zeta-function. Zbl 1412.11105
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
1
2016
Riesz means of the Dedekind function. Zbl 1428.11171
Inoue, Shōta; Kiuchi, Isao
1
2017
Sums of weighted averages of gcd-sum functions. II. Zbl 1472.11257
Kiuchi, Isao; Eddin, Sumaia Saad
1
2020
On a sum involving squarefull numbers. Zbl 1508.11097
Kiuchi, Isao
1
2022
Sums of logarithmic averages of gcd-sum functions. Zbl 1472.11256
Kiuchi, Isao; Eddin, Sumaia Saad
1
2020
Sums of averages of gcd-sum functions. II. Zbl 1479.11022
Kaltenböck, Lisa; Kiuchi, Isao; Saad Eddin, Sumaia; Ueda, Masaaki
1
2021
On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). Zbl 1507.11087
Kiuchi, Isao; Saad Eddin, Sumaia
1
2022
On a sum involving squarefull numbers. Zbl 1508.11097
Kiuchi, Isao
1
2022
On the weighted average number of subgroups of \(\mathbb{Z}_m\times \mathbb{Z}_n\) with \(mn\leq x\). Zbl 1507.11087
Kiuchi, Isao; Saad Eddin, Sumaia
1
2022
On sums of sums involving squarefull numbers. Zbl 1497.11239
Kiuchi, Isao
3
2021
Sums of averages of gcd-sum functions. II. Zbl 1479.11022
Kaltenböck, Lisa; Kiuchi, Isao; Saad Eddin, Sumaia; Ueda, Masaaki
1
2021
Sums of weighted averages of gcd-sum functions. II. Zbl 1472.11257
Kiuchi, Isao; Eddin, Sumaia Saad
1
2020
Sums of logarithmic averages of gcd-sum functions. Zbl 1472.11256
Kiuchi, Isao; Eddin, Sumaia Saad
1
2020
Riesz means of the Euler totient function. Zbl 1479.11020
Inoue, Shota; Kiuchi, Isao
2
2019
Sums of weighted averages of \(\gcd\)-sum functions. Zbl 1441.11007
Kiuchi, Isao; Saad Eddin, Sumaia
5
2018
Sums of averages of generalized Ramanujan sums. Zbl 1421.11009
Kiuchi, Isao
8
2017
Sums of averages of gcd-sum functions. Zbl 1422.11198
Kiuchi, Isao
5
2017
On sums of averages of generalized Ramanujan sums. Zbl 1425.11160
Kiuchi, Isao
4
2017
The mean values of the double zeta-function. Zbl 1427.11081
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
2
2017
Riesz means of the Dedekind function. Zbl 1428.11171
Inoue, Shōta; Kiuchi, Isao
1
2017
Mean square formula for the double zeta-function. Zbl 1407.11107
Kiuchi, Isao; Minamide, Makoto
4
2016
Sums of products of generalized Ramanujan sums. Zbl 1415.11013
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
4
2016
Averages of Anderson-Apostol’s sums. Zbl 1425.11161
Kiuchi, Isao; Minamide, Makoto; Ueda, Masaaki
4
2016
The fourth power moment of the double zeta-function. Zbl 1432.11119
Kiuchi, Isao
2
2016
Power moments for the double zeta-function. Zbl 1412.11105
Ikeda, Soichi; Kiuchi, Isao; Matsuoka, Kaneaki
1
2016
On a sum involving the Möbius function. Zbl 1332.11088
Kiuchi, I.; Minamide, M.; Tanigawa, Y.
6
2015
Analytic properties of double zeta-functions. Zbl 1253.11084
Kiuchi, I.; Tanigawa, Y.; Zhai, W.
6
2011
Bounds for triple zeta-functions. Zbl 1228.11131
Kiuchi, I.; Tanigawa, Y.
3
2008
Bounds for double zeta-functions. Zbl 1170.11317
Kiuchi, Isao; Tanigawa, Yoshio
9
2006
On arithmetical functions related to the Ramanujan sum. Zbl 1027.11006
Kiuchi, Isao; Tanigawa, Yoshio
3
2002
The mean value theorem of the divisor problem for short intervals. Zbl 0926.11072
Kiuchi, Isao; Tanigawa, Yoshio
3
1998
The resemblance of the behaviour of the remainder terms \(E_{\sigma}(t), \Delta_{1-2\sigma}(x)\) and \(R(\sigma+it)\). Zbl 0933.11043
Kiuchi, Isao; Matsumoto, Kohji
1
1997
The mean value formula for the approximate functional equation of \(\zeta^ 2(s)\) in the critical strip. Zbl 0822.11059
Kiuchi, Isao
2
1995
On some integrals involving the Riemann zeta-function in the critical strip. Zbl 0828.11042
Ivić, Aleksandar; Kiuchi, Isao
1
1994
An improvement on the mean value formula for the approximate functional equation of the square of the Riemann zeta-function. Zbl 0787.11034
Kiuchi, Isao
4
1993
On the mean-square for the approximate functional equation of the Riemann zeta-function. Zbl 0794.11035
Kiuchi, Isao
1
1993
Mean value results for the approximate functional equation of the square of the Riemann zeta-function. Zbl 0761.11035
Kiuchi, Isao; Matsumoto, Kohji
3
1992
On an exponential sum involving the arithmetic function \(\sigma _ a(n)\). Zbl 0643.10032
Kiuchi, Isao
9
1987

Citations by Year