Edit Profile (opens in new tab) Kiuchi, Isao Co-Author Distance Author ID: kiuchi.isao Published as: Kiuchi, Isao; Kiuchi, I.; Kuchi, Isao more...less External Links: MGP Documents Indexed: 51 Publications since 1987, including 3 Additional arXiv Preprints Co-Authors: 13 Co-Authors with 32 Joint Publications 203 Co-Co-Authors all top 5 Co-Authors 19 single-authored 9 Tanigawa, Yoshio 8 Saad Eddin, Sumaia 4 Matsuoka, Kaneaki 4 Minamide, Makoto 3 Ikeda, Soichi 3 Inoue, Shōta 2 Matsumoto, Kohji 2 Ueda, Masaaki 2 Yanagisawa, Naoki 1 Ivić, Aleksandar 1 Kaltenböck, Lisa 1 Pillichshammer, Friedrich 1 Zhai, Wenguang all top 5 Serials 4 Archiv der Mathematik 3 Acta Arithmetica 3 Journal of Number Theory 3 Mathematical Journal of Okayama University 3 Tokyo Journal of Mathematics 3 Journal of the Ramanujan Mathematical Society 3 International Journal of Number Theory 2 Rocky Mountain Journal of Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Publications de l’Institut Mathématique. Nouvelle Série 2 Results in Mathematics 2 Indagationes Mathematicae. New Series 2 RIMS Kokyuroku 2 Journal of Integer Sequences 1 Periodica Mathematica Hungarica 1 Publicationes Mathematicae Debrecen 1 Tsukuba Journal of Mathematics 1 Kumamoto Journal of Mathematics 1 Publikacije Elektrotehničkog Fakulteta. Serija: Matematika 1 Kyushu Journal of Mathematics 1 The Ramanujan Journal 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Moscow Journal of Combinatorics and Number Theory Fields 51 Number theory (11-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 Cited by 41 Authors 17 Kiuchi, Isao 5 Tanigawa, Yoshio 4 Saad Eddin, Sumaia 3 Lau, Yuk-Kam 3 Maier, Helmut 3 Matsumoto, Kohji 3 Rassias, Michael Th. 2 Banerjee, Debika 2 Matsuoka, Kaneaki 2 Minamide, T. Makoto 2 Zhai, Wenguang 1 Alkan, Emre 1 Bugeaud, Yann 1 Fokas, Athanassios S. 1 Fujisawa, Yusuke 1 Furuya, Jun 1 Goldston, Daniel Alan 1 Heyman, Randell 1 Ikeda, Soichi 1 Inoue, Shōta 1 Ivić, Aleksandar 1 Kalimeris, Konstantinos 1 Kaltenböck, Lisa 1 Matsusaka, Toshiki 1 Merca, Mircea 1 Minamide, Makoto 1 Mousavi, Hamed 1 Nagata, Yoshikazu 1 Nakamura, Takashi 1 Pankowski, Łukasz 1 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 1 Schmidt, Maxie Dion 1 Shimomura, Shun 1 Suriajaya, Ade Irma 1 Tanackov, Ilija 1 Toma, Yuichiro 1 Tóth, László 1 Tsumura, Hirofumi 1 Ueda, Masaaki 1 Yanagisawa, Naoki 1 Zheng, Zhiyong all top 5 Cited in 26 Serials 6 Journal of Number Theory 5 The Ramanujan Journal 3 Archiv der Mathematik 3 International Journal of Number Theory 2 Rocky Mountain Journal of Mathematics 2 Acta Arithmetica 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Tokyo Journal of Mathematics 2 Indagationes Mathematicae. New Series 1 Indian Journal of Pure & Applied Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Journal of the Ramanujan Mathematical Society 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Communications in Contemporary Mathematics 1 Mediterranean Journal of Mathematics 1 Applicable Analysis and Discrete Mathematics 1 Moscow Journal of Combinatorics and Number Theory 1 Research in the Mathematical Sciences 1 European Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B Cited in 5 Fields 46 Number theory (11-XX) 2 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Approximations and expansions (41-XX) Citations by Year