# Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter

Antanas Laurinčikas; Jörn Steuding

Open Mathematics (2011)

- Volume: 9, Issue: 2, page 319-327
- ISSN: 2391-5455

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topAntanas Laurinčikas, and Jörn Steuding. "Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter." Open Mathematics 9.2 (2011): 319-327. <http://eudml.org/doc/269499>.

@article{AntanasLaurinčikas2011,

abstract = {We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.},

author = {Antanas Laurinčikas, Jörn Steuding},

journal = {Open Mathematics},

keywords = {Hurwitz zeta-function; Value-distribution; Limit theorems; Space of analytic functions; Algebraic irrational; value-distribution; limit theorems; space of analytic functions; algebraic irrational},

language = {eng},

number = {2},

pages = {319-327},

title = {Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter},

url = {http://eudml.org/doc/269499},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Antanas Laurinčikas

AU - Jörn Steuding

TI - Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter

JO - Open Mathematics

PY - 2011

VL - 9

IS - 2

SP - 319

EP - 327

AB - We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.

LA - eng

KW - Hurwitz zeta-function; Value-distribution; Limit theorems; Space of analytic functions; Algebraic irrational; value-distribution; limit theorems; space of analytic functions; algebraic irrational

UR - http://eudml.org/doc/269499

ER -

## References

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- [3] Conway J.B., Functions of One Complex Variable, Grad. Texas in Math., 11, Springer, New York-Heidelberg, 1973 Zbl0277.30001
- [4] Cramér H., Leadbetter M.R., Stationary and Related Stochastic Processes, John Wiley & Sons, New York-London-Sydney, 1967 Zbl0162.21102
- [5] Laurinčikas A., Limit Theorems for the Riemann Zeta-Function, Math. Appl., 352, Kluwer, Dordrecht, 1996 Zbl0859.11053
- [6] Laurinčikas A, A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 2005, 322, Trudy po Teorii Chisel, 125–134 (in Russian) Zbl1074.11050
- [7] Laurinčikas A, Steuding J., A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter, Arch. Math. (Basel), 2005, 85(5), 419–432 Zbl1132.11346
- [8] Laurinčikas A., Steuding J., Complement to the paper: A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter (Arch. Math. 85 (2005), 419–432), submitted http://dx.doi.org/10.1007/s00013-005-1190-8 Zbl1132.11346

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