Limit theorems for the Estermann zeta-function. II

• Autorzy: Antanas Laurinčikas
• Języki publikacji: EN

Abstrakty

EN

A limit theorem in the sense of the weak convergence of probability measures in the space of meromorphic functions for the Estermann zeta-function is obtained.

Słowa kluczowe

EN

Estermann zeta-function; distribution; probability measure; random element; space of analytic functions; space of meromorphic functions; weak convergence; 11M41

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2005
• Tom: 3
• Numer: 4
• Strony: 580-590

Daty

wydano

2005-12-01

online

2005-12-01

Twórcy

autor

Antanas Laurinčikas

• Vilinus University

Bibliografia

• [1] P. Billingsley: Convergence of Probbility Measures, Wiley, New York, 1968.
• [2] H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Erste Mitteilung, Acta Math., Vol. 54, (1930), pp. 1–35.
• [3] H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Zweite Mitteilung, Acta Math., Vol. 58, (1932), pp. 1–55.
• [4] J.B. Conway: Functions of One Complex Variable, Springer-Verlag, New York, 1973.
• [5] J. Genys and A. Laurinčikas: “Value distribution of general Dirichlet series. IV”, Liet. Matem. Rink, Vol. 43, No. 3, (2003), pp. 342–358; Lith. Math. J., Vol. 42, No. e, (2003), pp. 281–294 (in Russian).
• [6] A. Laurinčikas: Limit Theorems for the Riemann Zeta-function, Kluwer, Dordrecht, Boston, London, 1996.
• [7] A. Laurinčikas and R. Garunkštis: The Lerch Zeta-Function, Kluwer, Dordrecht, Boston, London, 2002.
• [8] A. Laurinčikas: “Limit theorems for the Estermann zeta-function. I”, Satist. Probab. Letters, Vol. 72(3), (2005), pp. 227–235. http://dx.doi.org/10.1016/j.spl.2004.11.024
• [9] M. Loève: Probability Theory, Van Nostrand, Toronto, 1955.

Identyfikatory

DOI

10.2478/BF02475619