Abstract
We express normalized double sine functions of integer periods $(N_1, N_2)$ via the standard double sine function of period $(1,1)$. As an application we give an Euler product expression using the di-logarithm for the double zeta function $\zeta(s, \mathbf{F}_{p^{N_1}}) \otimes \zeta(s, \mathbf{F}_{p^{N_2}})$ for a prime number $p$ and integers $N_1$, $N_2$.
Citation
Shin-ya Koyama. Nobushige Kurokawa. "Normalized double sine functions." Proc. Japan Acad. Ser. A Math. Sci. 79 (1) 14 - 18, Jan. 2003. https://doi.org/10.3792/pjaa.79.14
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