Universality results on Hurwitz zeta-functions

• Autorzy: Antanas Laurinčikas , Renata Macaitienė
• Języki publikacji: EN

Abstrakty

EN

In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.

Kategorie tematyczne

• 11M06: ζ ( s ) and L ( s , χ )
• 11M35: Hurwitz and Lerch zeta functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2016
• Tom: 108
• Numer: 1
• Strony: 161-172

Daty

wydano

2016

Twórcy

autor

Antanas Laurinčikas

• Faculty of Mathematics and Informatics, Vilnius University, Naugarduko st. 24, LT-03225, Vilnius, Lithuania

autor

Renata Macaitienė

• Research Institute, Šiauliai University, Vilnius st. 88, LT-76285, Šiauliai, Lithuania
• Faculty of Business and Technologies, Šiauliai State College, Aušros av. 40, LT-76241, Šiauliai, Lithuania

Identyfikatory

DOI

10.4064/bc108-0-13