A weighted limit theorem for periodic Hurwitz zeta-function

A Discrete Limit Theorem on the Complex Plane for the Hurwitz Zeta–function with an Algebraic Irrational Parameter

In honour of Professor Imre Kátai on the occasion of his 70th birthday

Limit Theorem with Weight for Lerch Zeta Function

The Neutrix Limit of the Hurwitz Zeta Function and Its Application

In this paper, the neutrix limit is used to extend the definition of the Hurwitz zeta function ζ(α, x) and its partial derivatives to the whole complex plane except for non-positive integers α, in particular, the values of ζ(1, x) is obtained. This definition is equivalent to the Hermite’s integral of ζ(α, x) as α 6= 1, 0,−1, . . .. Moreover, some properties of ζ(1, x) are established and we fi...

A limit theorem for Bohr–Jessen’s probability measures of the Riemann zeta-function

The asymptotic behavior of value distribution of the Riemann zeta-function ζ(s) is determined for 1 2 < (s) < 1. Namely, the existence is proved, and the value is given, of the limit lim →∞ ( (log )σ)−1/(1−σ) logW (C \R( ), σ, ζ) for 1 2 < σ < 1, where R( ) is a square in the complex plane C of side length 2 centered at 0, and W (A,σ, ζ) = lim T→∞ (2T )−1μ1({t ∈ [−T, T ] | log ζ(σ + t √−1) ∈ A}...

Limit theorems for the Matsumoto zeta-function

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