6 citations · 7 across the 6 of their papers we have counts for
7 papers
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…
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…
Functional equation, upper bounds and analogue of Lindelöf hypothesis for the Barnes double zeta function
Takashi Miyagawa
The functional equations of the Riemann zeta function, the Hurwitz zeta function, and the Lerch zeta function have been well known for a long time, and there is great importance in…
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…
Approximate functional equations for the Hurwitz and Lerch zeta-functions
Takashi Miyagawa
As one of the asymptotic formulas for the zeta-function, Hardy and Littlewood gave asymptotic formulas called the approximate functional equation. In 2003, R. Garunkštis, A. Laurin…
Mean values of the Barnes double zeta-function
Takashi Miyagawa
In the study of order estimation of the Riemann zeta-function , solving Lindelöf hypothesis is an important theme. As one of the relationships, a…
Analytic properties of generalized Mordell-Tornheim type of multiple zeta-functions and L-functions
Takashi Miyagawa
Analytic properties of three types of multiple zeta functions, that is, the Euler-Zagier type, the Mordell-Tornheim type and the Apostol-Vu type have been studied by a lot of autho…