Matsumoto zeta function

In mathematics, Matsumoto zeta functions are a type of zeta function introduced by Kohji Matsumoto in 1990. They are functions of the form

\phi(s)=\prod_{p}\frac{1}{A_p(p^{-s})}

where p is a prime and A_p is a polynomial.

References

Matsumoto, Kohji (1990), "Value-distribution of zeta-functions", Analytic number theory ({T}okyo, 1988), Lecture Notes in Math. 1434, Berlin, New York: Springer-Verlag, doi:10.1007/BFb0097134, MR 1071754