Abstract
The middle coefficient of a polynomial of an even degree $d$ is the coefficient of $x^{\frac{d}{2}}$. In this note, we compute the middle coefficient of the cyclotomic polynomial $\Phi_{3p_2p_3}(x)$ when $p_3\equiv \pm 7,\pm 8, \pm10 \mod3p_2$. Also, we compute the middle coefficient of the cyclotomic polynomial $\Phi_{3p_2p_3}(x)$ for some general cases.
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