3 papers
math.NT2026
Laurent series expansions for the Barnes multiple zeta function
Takashi Miyagawa
We study the Laurent coefficients of the Barnes multiple zeta function with complex parameters in a common open half-plane and a fixed holomorphic determination of the logarithm. A…
math.NT2026
Analogues of the Lindelöf Hypothesis for the Barnes multiple zeta function and related problems
Takashi Miyagawa
For the Lindelöf Hypothesis concerning the Riemann zeta function , upper bounds as have been extensively studied for many years. In particular, the Lindelöf…
math.NT2018
Approximate functional equation and upper bounds for the Barnes double zeta-function
Takashi Miyagawa
As one of the asymptotic formulas of the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In this paper, we prove an approxi…