Matsumoto zeta function
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Let $P(z)$ be a polynomial. Define the Matsumoto zeta function by $$\phi(z)=\displaystyle\prod_{p \hspace{2pt}\mathrm{prime}} \dfrac{1}{P(p^{-z})}.$$
Let $P(z)$ be a polynomial. Define the Matsumoto zeta function by $$\phi(z)=\displaystyle\prod_{p \hspace{2pt}\mathrm{prime}} \dfrac{1}{P(p^{-z})}.$$