Limit theorems in the space of analytic functions for the Hurwitz zeta-function with an algebraic irrational parameter

• Autorzy: Antanas Laurinčikas , Jörn Steuding
• Języki publikacji: EN

Abstrakty

EN

We prove a limit theorem in the space of analytic functions for the Hurwitz zeta-function with algebraic irrational parameter.

Słowa kluczowe

EN

Hurwitz zeta-function; Value-distribution; Limit theorems; Space of analytic functions; Algebraic irrational

Kategorie tematyczne

• 11M41: Other Dirichlet series and zeta functions

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 2
• Strony: 319-327

Daty

wydano

2011-04-01

online

2011-02-18

Twórcy

autor

Antanas Laurinčikas

• Vilnius University

autor

Jörn Steuding

• Würzburg University

Bibliografia

• [1] Billingsley P., Convergence of Probability Measures, John Wiley & Sons, New York-London-Sydney, 1968
• [2] Cassels J.W.S., Footnote to a note of Devenport and Heilbronn, J. London Math. Soc., 1961, 36, 177–184 http://dx.doi.org/10.1112/jlms/s1-36.1.177
• [3] Conway J.B., Functions of One Complex Variable, Grad. Texas in Math., 11, Springer, New York-Heidelberg, 1973
• [4] Cramér H., Leadbetter M.R., Stationary and Related Stochastic Processes, John Wiley & Sons, New York-London-Sydney, 1967
• [5] Laurinčikas A., Limit Theorems for the Riemann Zeta-Function, Math. Appl., 352, Kluwer, Dordrecht, 1996
• [6] Laurinčikas A, A limit theorem for the Hurwitz zeta-function with algebraic irrational parameter, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI), 2005, 322, Trudy po Teorii Chisel, 125–134 (in Russian)
• [7] Laurinčikas A, Steuding J., A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter, Arch. Math. (Basel), 2005, 85(5), 419–432
• [8] Laurinčikas A., Steuding J., Complement to the paper: A limit theorem for the Hurwitz zeta-function with an algebraic irrational parameter (Arch. Math. 85 (2005), 419–432), submitted http://dx.doi.org/10.1007/s00013-005-1190-8

Identyfikatory

DOI

10.2478/s11533-010-0099-z