On the Matsumoto zeta-function

• Autorzy: A. Laurinčikas
• Języki publikacji: EN

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 84
• Numer: 1
• Strony: 1-16

Daty

wydano

1998

otrzymano

1996-11-19

poprawiono

1997-10-07

Twórcy

autor

A. Laurinčikas

• Department of Mathematics, Vilnius University, Naugarduko, 24 2006 Vilnius, Lithuania

Bibliografia

• [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.
• [4] A. Laurinčikas, Limit theorems for the Matsumoto zeta-function, J. Théor. Nombres Bordeaux 8 (1996), 143-158.
• [5] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function, Acta Arith. 79 (1997), 31-39.
• [6] A. Laurinčikas, On limit distribution of the Matsumoto zeta-function. II, Liet. Mat. Rink. 36 (1996), 464-485 (in Russian).
• [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.
• [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.
• [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.
• [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.
• [13] K. Matsumoto, Asymptotic probability measures of zeta-functions of algebraic number fields, J. Number Theory 40 (1992), 187-210.
• [14] E. C. Titchmarsh, The Theory of Functions, Oxford Univ. Press, Oxford, 1939.
• [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).
• [16] J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, Amer. Math. Soc. Colloq. Publ. 20, 1960.