Discrete limit theorems for the Laplace transform of the Riemann zeta-function

Roma Kačinskaitė; Antanas Laurinčikas

Acta Mathematica Universitatis Ostraviensis (2005)

  • Volume: 13, Issue: 1, page 19-27
  • ISSN: 1804-1388

Abstract

top
In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.

How to cite

top

Kačinskaitė, Roma, and Laurinčikas, Antanas. "Discrete limit theorems for the Laplace transform of the Riemann zeta-function." Acta Mathematica Universitatis Ostraviensis 13.1 (2005): 19-27. <http://eudml.org/doc/35149>.

@article{Kačinskaitė2005,
abstract = {In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.},
author = {Kačinskaitė, Roma, Laurinčikas, Antanas},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {Laplace transform; probability measure; Riemann zeta-function; weak convergence; Laplace transform; probability measure; Riemann zeta-function; weak convergence},
language = {eng},
number = {1},
pages = {19-27},
publisher = {University of Ostrava},
title = {Discrete limit theorems for the Laplace transform of the Riemann zeta-function},
url = {http://eudml.org/doc/35149},
volume = {13},
year = {2005},
}

TY - JOUR
AU - Kačinskaitė, Roma
AU - Laurinčikas, Antanas
TI - Discrete limit theorems for the Laplace transform of the Riemann zeta-function
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2005
PB - University of Ostrava
VL - 13
IS - 1
SP - 19
EP - 27
AB - In the paper discrete limit theorems in the sense of weak convergence of probability measures on the complex plane as well as in the space of analytic functions for the Laplace transform of the Riemann zeta-function are proved.
LA - eng
KW - Laplace transform; probability measure; Riemann zeta-function; weak convergence; Laplace transform; probability measure; Riemann zeta-function; weak convergence
UR - http://eudml.org/doc/35149
ER -

References

top
  1. Atkinson F. V., 10.1007/BF02395027, , Acta Math., 81 (1949), 353–376. (1949) Zbl0036.18603MR0031963DOI10.1007/BF02395027
  2. Billingsley P., Convergence of Probability Measures, , Wiley, New York, 1968. (1968) Zbl0172.21201MR0233396
  3. Conway J. B., Functions of One Complex Variable, , Springer-Verlag, New York, 1973. (1973) Zbl0277.30001MR0447532
  4. Heyer H., Probability Measures on Locally Compact Groups, , Springer-Verlag, Berlin, 1977. (1977) Zbl0376.60002MR0501241
  5. Ivič A., The Riemann Zeta-Function, , Wiley, New York, 1985. (1985) MR0792089
  6. Jutila M., Atkinson’s formula revisited, , in: Voronoi’s Impact in Modern Science, Book 1, Proc. Inst. Math. National Acad. Sc. Ukraine, Vol. 21, P. Engel and H. Syta (Eds), Inst. Math., Kyiv, 1998, pp. 137–154. (1998) Zbl0948.11032
  7. Laurinčikas A., Limit theorems for the Laplace transform of the Riemann zeta-function, , Integral Transf. Special Functions (to appear). MR2242414

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.