3 papers
math.NT2026
On the Laurent series expansions of the Barnes double zeta function
Takashi Miyagawa
The Laurent series expansions of zeta-functions play an important role in understanding their behavior near singularities, and their coefficients often encode significant arithmeti…
math.NT2026
On the mean values of the Barnes multiple zeta function
Takashi Miyagawa, Hideki Murahara
The asymptotic behavior of the mean values of multiple zeta functions is of significant interest due to its close connection with the Riemann zeta function. In this paper, we estab…
math.NT2026
Mean values and upper bounds for the Hurwitz and Barnes multiple zeta functions
Takashi Miyagawa
Due to their deep connection with the Riemann zeta function, the asymptotic behavior of mean values of multiple zeta functions has attracted considerable attention. In this paper,…