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On limit distribution of the Hurwitz zeta-function

Antanas Laurinčikas (2010)

Open Mathematics

The distribution of the vector (|ζ(s, α)|; ζ(s, α)), where ζ(s, α) is the Hurwitz zeta-function with transcendental parameter α, is considered and a probabilistic limit theorem is obtained. Also, the dependence between |ζ(s, α)| and ζ(s, α) in terms of m-characteristic transforms is discussed.

On Siegel's zero

D. M. Goldfeld, A. Schinzel (1975)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

On the apostol-bernoulli polynomials

Qiu-Ming Luo (2004)

Open Mathematics

In the present paper, we obtain two new formulas of the Apostol-Bernoulli polynomials (see On the Lerch Zeta function. Pacific J. Math., 1 (1951), 161–167.), using the Gaussian hypergeometric functions and Hurwitz Zeta functions respectively, and give certain special cases and applications.

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