# On the Matsumoto zeta-function

Acta Arithmetica (1998)

- Volume: 84, Issue: 1, page 1-16
- ISSN: 0065-1036

## Access Full Article

top## How to cite

topA. Laurinčikas. "On the Matsumoto zeta-function." Acta Arithmetica 84.1 (1998): 1-16. <http://eudml.org/doc/207132>.

@article{A1998,

author = {A. Laurinčikas},

journal = {Acta Arithmetica},

keywords = {Matsumoto zeta-function; zero-free holomorphic function; ergodic processes; universal property},

language = {eng},

number = {1},

pages = {1-16},

title = {On the Matsumoto zeta-function},

url = {http://eudml.org/doc/207132},

volume = {84},

year = {1998},

}

TY - JOUR

AU - A. Laurinčikas

TI - On the Matsumoto zeta-function

JO - Acta Arithmetica

PY - 1998

VL - 84

IS - 1

SP - 1

EP - 16

LA - eng

KW - Matsumoto zeta-function; zero-free holomorphic function; ergodic processes; universal property

UR - http://eudml.org/doc/207132

ER -

## References

top- [1] B. Bagchi, The statistical behaviour and universality properties of the Riemann zeta-function and other allied Dirichlet series, Ph.D. thesis, Calcutta, Indian Statistical Institute, 1981.
- [2] S. M. Gonek, Analytic properties of zeta and L-functions, Ph.D. thesis, University of Michigan, 1979.
- [3] T. Hattori and K. Matsumoto, Large deviations of Montgomery type and its application to the theory of zeta-functions, Acta Arith. 71 (1995), 79-94. Zbl0818.11032
- [4] A. Laurinčikas, Limit theorems for the Matsumoto zeta-function, J. Théor. Nombres Bordeaux 8 (1996), 143-158. Zbl0859.11053
- [5] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function, Acta Arith. 79 (1997), 31-39. Zbl0868.11038
- [6] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function. II, Liet. Mat. Rink. 36 (1996), 464-485 (in Russian). Zbl0888.11032
- [7] A. Laurinčikas, Limit Theorems for the Riemann Zeta-Function, Kluwer, Dordrecht, 1996.
- [8] A. Laurinčikas and G. Misevičius, On limit distribution of the Riemann zeta-function, Acta Arith. 76 (1996), 317-334. Zbl0872.11036
- [9] K. Matsumoto, A probabilistic study on the value-distribution of Dirichlet series attached to certain cusp forms, Nagoya Math. J. 116 (1989), 123-138. Zbl0675.10017
- [10] K. Matsumoto, Value-distribution of zeta functions, in: Lecture Notes in Math. 1434, Springer, 1990, 178-187.
- [11] K. Matsumoto, On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products, Acta Arith. 60 (1991), 125-147. Zbl0715.11043
- [12] K. Matsumoto, Asymptotic probability measures of Euler products, in: Proceedings of the Amalfi Conference on Analytic Number Theory (Maiori, 1989), Univ. Salerno, Salerno, 1992, 295-313. Zbl0797.11068
- [13] K. Matsumoto, Asymptotic probability measures of zeta-functions of algebraic number fields, J. Number Theory 40 (1992), 187-210. Zbl0746.11051
- [14] E. C. Titchmarsh, The Theory of Functions, Oxford Univ. Press, Oxford, 1939. Zbl0022.14602
- [15] S. M. Voronin, Theorem on the 'universality' of the Riemann zeta-function, Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), 475-486 (in Russian). Zbl0315.10037
- [16] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 20, 1960. Zbl0106.28104

## NotesEmbed ?

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