Title "Mixed joint universality for Dirichlet L-functions and Hurwitz type zeta-functions" /
Translation of Title "Dirichlė L funkcijų ir Hurvico tipo dzeta funkcijų mišrus jungtinis universalumas".
Authors Janulis, Kęstutis
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Pages 75
Keywords [eng] Mized joint universality ; Dirichlet L-functions ; Hurwitz type zeta-functions
Abstract [eng] 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.
Dissertation Institution Vilniaus universitetas.
Type Doctoral thesis
Language English
Publication date 2015