Papers

Publications

・S. Inoue, 'On the logarithm of the Riemann zeta-function and its iterated integrals,' arXiv: 1909.03643, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.

・S. Inoue, 'A note on r-gaps between zeros of the Riemann zeta-function,'  Bull. Lond. Math. Soc. 56, no.7 (2024), 2268-2277, paper.

・S. Inoue and Isao Kiuchi, 'On sums of  gcd-sum functions,' Int. Journal of Number Theory 19, no.3 (2023), 593-619.

・S. Inoue, 'Extreme values for iterated integrals of the logarithm of the Riemann zeta-function,' Acta Arith. 205 (2022), no.2, 97-119.

・S. Inoue, 'On the behavior of the logarithm of the Riemann zeta-function,' Results Math. 77 (2022), no. 1, 19 pages, paper. 

・S. Inoue, 'Some explicit formulas for partial sums of Möbius functions,' J. Théor. Nombres Bordeaux 33 (2021), no.2, 273-315 paper.

・S. Inoue, Sumaia Saad Eddin, and Ade Irma Suriajaya, `Stieltjes constants of L-functions in the extended Selberg class,' Ramanujan J. 55 (2021), no. 2, 609-621.

・Kenta Endo and S. Inoue, 'On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function I: denseness,' Forum Math. 33 (2021), no. 1, 167-176.

・S. Inoue, 'Relations among some conjectures on the Möbius function and the Riemann zeta-function,' Acta Arith. 191 (2019), no. 1, 1-32 paper.

・S. Inoue and Isao Kiuchi, 'Riesz means of the Euler totient function,' Funct. Approx. Comment. Math. 60 (2019), no. 1, 31-40.

・S. Inoue and Isao Kiuchi, 'Riesz means of the Dedekind function,' Kyushu J. Math. 71 (2017), no. 1, 105-114.

Preprints

・Kenta Endo, S. Inoue, and Masahiro Mine, A large deviation result for the Riemann zeta-function in the strip 1/2 < σ < 1, revising construction.

・S. Inoue and Junxian Li, Simultaneous large values and dependence of Dirichlet L-functions in the critical strip, arXiv:2211.15165, submitted.

・S. Inoue, Exponential moments of the logarithm of the Riemann zeta-function twisted by arguments, arXiv:2208.11442, submitted.

・Kenta Endo, S. Inoue, and Masahiro Mine, On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects, arXiv: 2105.04781, revising construction.

・S. Inoue and Junxian Li, 'Joint value distribution of L-functions on the critical line,' arXiv: 2102.12724, submitted.

・Tetsuya Inaba and S. Inoue, 'Riesz mean of the Dedekind function II,' 2017, arXiv: 1705.05594.