Limit theorems for the Matsumoto zeta-function

Antanas Laurinčikas

Journal de théorie des nombres de Bordeaux (1996)

  • Volume: 8, Issue: 1, page 143-158
  • ISSN: 1246-7405

Abstract

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In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.

How to cite

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Laurinčikas, Antanas. "Limit theorems for the Matsumoto zeta-function." Journal de théorie des nombres de Bordeaux 8.1 (1996): 143-158. <http://eudml.org/doc/247838>.

@article{Laurinčikas1996,
abstract = {In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.},
author = {Laurinčikas, Antanas},
journal = {Journal de théorie des nombres de Bordeaux},
keywords = {Matsumoto zeta-function; weighted limit theorem; distribution theorems; weighted frequencies},
language = {eng},
number = {1},
pages = {143-158},
publisher = {Université Bordeaux I},
title = {Limit theorems for the Matsumoto zeta-function},
url = {http://eudml.org/doc/247838},
volume = {8},
year = {1996},
}

TY - JOUR
AU - Laurinčikas, Antanas
TI - Limit theorems for the Matsumoto zeta-function
JO - Journal de théorie des nombres de Bordeaux
PY - 1996
PB - Université Bordeaux I
VL - 8
IS - 1
SP - 143
EP - 158
AB - In this paper two weighted functional limit theorems for the function introduced by K. Matsumoto are proved.
LA - eng
KW - Matsumoto zeta-function; weighted limit theorem; distribution theorems; weighted frequencies
UR - http://eudml.org/doc/247838
ER -

References

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  1. [1] B. Bagchi, The statistical behaviour and universality properties of the Riemann zeta-function and other allied Dirichlet series, Ph. D. Thesis, Indian Statist. Inst., Calcutta, 1982. 
  2. [2] P. Billingsley, Convergence of Probability Measures, John Wiley, 1968. Zbl0172.21201MR233396
  3. [3] H. Heyer, Probability measures on locally compact groups, Springer-Verlag, Berlin-Heidelberg- New York, 1977. Zbl0376.60002MR501241
  4. [4] A. Laurinčikas, A weighted limit theorem for the Riemann zeta-function, Liet. matem. rink.32(3) (1992), 369-376. (Russian) Zbl0805.11061MR1248746
  5. [5] K. Matsumoto, Value-distribution of zeta-functions, Lecture Notes in Math.1434 (1990),178-187. Zbl0705.11050MR1071754
  6. [6] B.V. Shabat, Introduction to complex analysis, Moscow, 1969. (Russian) Zbl0422.30001

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