On the Matsumoto zeta-function
A. Laurinčikas
Acta Arithmetica, Tome 84 (1998), p. 1-16 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207132
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     author = {A. Laurin\v cikas},
     title = {On the Matsumoto zeta-function},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {1-16},
     zbl = {0904.11025},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav84i1p1bwm}
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A. Laurinčikas. On the Matsumoto zeta-function. Acta Arithmetica, Tome 84 (1998) pp. 1-16. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav84i1p1bwm/

[000] [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.

[001] [2] S. M. Gonek, Analytic properties of zeta and L-functions, Ph.D. thesis, University of Michigan, 1979.

[002] [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. | Zbl 0818.11032

[003] [4] A. Laurinčikas, Limit theorems for the Matsumoto zeta-function, J. Théor. Nombres Bordeaux 8 (1996), 143-158. | Zbl 0859.11053

[004] [5] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function, Acta Arith. 79 (1997), 31-39. | Zbl 0868.11038

[005] [6] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function. II, Liet. Mat. Rink. 36 (1996), 464-485 (in Russian). | Zbl 0888.11032

[006] [7] A. Laurinčikas, Limit Theorems for the Riemann Zeta-Function, Kluwer, Dordrecht, 1996.

[007] [8] A. Laurinčikas and G. Misevičius, On limit distribution of the Riemann zeta-function, Acta Arith. 76 (1996), 317-334. | Zbl 0872.11036

[008] [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. | Zbl 0675.10017

[009] [10] K. Matsumoto, Value-distribution of zeta functions, in: Lecture Notes in Math. 1434, Springer, 1990, 178-187.

[010] [11] K. Matsumoto, On the magnitude of asymptotic probability measures of Dedekind zeta-functions and other Euler products, Acta Arith. 60 (1991), 125-147. | Zbl 0715.11043

[011] [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. | Zbl 0797.11068

[012] [13] K. Matsumoto, Asymptotic probability measures of zeta-functions of algebraic number fields, J. Number Theory 40 (1992), 187-210. | Zbl 0746.11051

[013] [14] E. C. Titchmarsh, The Theory of Functions, Oxford Univ. Press, Oxford, 1939. | Zbl 0022.14602

[014] [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). | Zbl 0315.10037

[015] [16] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 20, 1960. | Zbl 0106.28104