Limit theorems for the Estermann zeta-function. II

Antanas Laurinčikas

Open Mathematics (2005)

  • Volume: 3, Issue: 4, page 580-590
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Antanas Laurinčikas. "Limit theorems for the Estermann zeta-function. II." Open Mathematics 3.4 (2005): 580-590. <http://eudml.org/doc/268786>.

@article{AntanasLaurinčikas2005,
abstract = {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.},
author = {Antanas Laurinčikas},
journal = {Open Mathematics},
keywords = {11M41},
language = {eng},
number = {4},
pages = {580-590},
title = {Limit theorems for the Estermann zeta-function. II},
url = {http://eudml.org/doc/268786},
volume = {3},
year = {2005},
}

TY - JOUR
AU - Antanas Laurinčikas
TI - Limit theorems for the Estermann zeta-function. II
JO - Open Mathematics
PY - 2005
VL - 3
IS - 4
SP - 580
EP - 590
AB - 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.
LA - eng
KW - 11M41
UR - http://eudml.org/doc/268786
ER -

References

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  1. [1] P. Billingsley: Convergence of Probbility Measures, Wiley, New York, 1968. 
  2. [2] H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Erste Mitteilung, Acta Math., Vol. 54, (1930), pp. 1–35. Zbl56.0287.01
  3. [3] H. Bohr and B. Jessen: “Über die Wertverteilung der Riemannschen Zeta funktion”, Zweite Mitteilung, Acta Math., Vol. 58, (1932), pp. 1–55. Zbl58.0321.02
  4. [4] J.B. Conway: Functions of One Complex Variable, Springer-Verlag, New York, 1973. 
  5. [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). Zbl1067.11056
  6. [6] A. Laurinčikas: Limit Theorems for the Riemann Zeta-function, Kluwer, Dordrecht, Boston, London, 1996. 
  7. [7] A. Laurinčikas and R. Garunkštis: The Lerch Zeta-Function, Kluwer, Dordrecht, Boston, London, 2002. Zbl1028.11052
  8. [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 Zbl1121.11059
  9. [9] M. Loève: Probability Theory, Van Nostrand, Toronto, 1955. 

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