Limit theorems for the Matsumoto zeta-function. (English) Zbl 0859.11053

K. Matsumoto [Lect. Notes Math. 1434, 178-187 (1990; Zbl 0705.11050)] introduced a general zeta-function \(\phi(s)\), defined by an Euler product, and proved distribution theorems for the frequency with which \(\log\phi (\sigma_0+it)\) lies in a given set. The present paper generalizes these results by using weighted frequencies.


11M41 Other Dirichlet series and zeta functions
11K65 Arithmetic functions in probabilistic number theory


Zbl 0705.11050
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