Articles

(Some of) my preprints and talk reports are available as PDF files. We note that papers available here are a little different from published versions. To avoid spam mails, I deleted the item of my affiliation and e-mail address. To check my affiliation and e-mail address, see Home.

Papers (refereed)

• (with A. I. Suriajaya) Zeros of the first derivative of Dirichlet L-functions, Journal of Number Theory, 184 (2018), 300-329.
• The Euler product for the Riemann zeta-function in the critical strip, Kodai Mathematical Journal, 40 (2017), 79-101.
• Conditional estimates for error terms related to the distribution of zeros of $\zeta'(s)$, Journal of Number Theory, 132 (2012), 2242-2257.
• The double Riemann zeta function, Communications in Number Theory and Physics, 3 (2009), 619-653.
• Zeta Mahler measures, Journal of Number Theory, 129 (2009), 2713-2734.
• Absolute tensor products, Kummer's formula and functional equations for multiple Hurwitz zeta functions, Acta Arithmetica, 125 (2006), 63-78.
• Degeneration of multiple Euler products, Acta Arithmetica, 121 (2006), 63-91.
• Functional equations for absolute tensor products, Journal of the Ramanujan Mathematical Society, 20 (2005), 91-105.
• Euler product expression of triple zeta functions, International Journal of Mathematics, 16 (2005), 111-136.

Preprints

• Maximal order for divisor functions and zeros of the Riemann zeta-function, arXiv.2411.19259.
• (with Y. Murakami) An asymptotic property on a reciprocity law for the Bettin--Conrey cotangent sum, accepted for pulication in International Journal of Number Theory, arXiv.2402.14216.

Talk Reports

• Maximal order of divisor functions (in Japanese), RIMS Kokyuroku, 2203 (2022), 171-181.
• A generalization of the reciprocity formula for the Dedekind sum (in Japanese), talk report for 65th algebraic symposium, organized by Algebra Section in the Mathematical Society of Japan, (2020).
• The Euler product of the Riemann zeta-function on the critical line (in Japanese), RIMS Kokyuroku, 1874 (2014), 1-11.
• Double zeta functions constructed by absolute tensor products, RIMS Kokyuroku, 1806 (2012), 22-36.
• Mahlar measures and zeta functions, Zeta Mahler measures and hypergeometric functions (in Japanese), Second MZV seminar, talk report, (2010), 9-25, PDF.
• Zeta Mahler measures and hypergeometric functions (in Japanese), Third Fukuoka Symposium on Number Theory, talk report, (2009), 77-84.
• Muliple Euler factors, RIMS Kokyuroku, 1512 (2006), 57-66.

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