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

Abstract

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

How to cite

top

Antanas 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

top
  1. [1] Billingsley P., Convergence of Probability Measures, John Wiley & Sons, New York-London-Sydney, 1968 Zbl0172.21201
  2. [2] Cassels J.W.S., Footnote to a note of Devenport and Heilbronn, J. London Math. Soc., 1961, 36, 177–184 http://dx.doi.org/10.1112/jlms/s1-36.1.177 Zbl0097.03403
  3. [3] Conway J.B., Functions of One Complex Variable, Grad. Texas in Math., 11, Springer, New York-Heidelberg, 1973 Zbl0277.30001
  4. [4] Cramér H., Leadbetter M.R., Stationary and Related Stochastic Processes, John Wiley & Sons, New York-London-Sydney, 1967 Zbl0162.21102
  5. [5] Laurinčikas A., Limit Theorems for the Riemann Zeta-Function, Math. Appl., 352, Kluwer, Dordrecht, 1996 Zbl0859.11053
  6. [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. [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. [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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.