Abstract
We refine a formula on values of quadruple sine functions at division points. As applications we prove a formula on a sum of reciprocal trigonometric values, and obtain multiple modularity of a three variable modular function, which concerns a generalization of the Dedekind η function.
Citation
Shin-ya Koyama. "Division values of multiple sine functions." Kodai Math. J. 32 (1) 1 - 51, March 2009. https://doi.org/10.2996/kmj/1238594544
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