"Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions" /

The aims of the thesis are mixed joint universality theorems for Dirichlet L-functions and Hurwitz type zeta-functions, i.e., theorems on simultaneous approximation of a collection of analytic functions by shifts of Dirichlet L-functions which have Euler's product over primes and by shifts of Hurwitz type zeta-functions which have no the Euler product. The problems are the following: 1. A mixed joint universality theorem for Dirichlet L-functions and Hurwitz zeta-functions; 2. A mixed joint universality theorem of Dirichlet L-functions and periodic Hurwitz zeta-functions; 3. The universality of composite functions of a collection of Dirichlet L-functions and Hurwitz zeta-functions; 4. The universality of composite functions of a collection of Dirichlet L-functions and periodic Hurwitz zeta-functions.

Grantor dc:publisher

Institutional Repository of Vilnius University

Year dc:date

2015

Author dc:creator

• Janulis, Kęstutis,

Contributors dc:contributor

• Laurinčikas, Antanas

• Mized joint universality ; Dirichlet L-functions ; Hurwitz type zeta-functions

Statement dc:rights

• info:eu-repo/semantics/openAccess

Language dc:language

eng

Repository record dc:identifier

https://repository.vu.lt/VU:ELABAETD13947495&prefLang=en_US

OAI identifier oai:identifier

oai:vu.lt:elaba:13947495