| Title |
Approximation by shifts of compositions of Dirichlet L-functions with the Gram function |
| Authors |
Dubickas, Artūras ; Garunkštis, Ramūnas ; Laurinčikas, Antanas |
| DOI |
10.3390/math8050751 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2020, vol. 8, iss. 5, art. no. 751, p. [1-14].. ISSN 2227-7390 |
| Keywords [eng] |
Dirichlet L-function ; Gram function ; joint universality |
| Abstract [eng] |
In this paper, a joint approximation of analytic functions by shifts of Dirichlet L-functions L(s+ia1tτ,χ1),…,L(s+iartτ,χr) , where a1,…,ar are non-zero real algebraic numbers linearly independent over the field Q and tτ is the Gram function, is considered. It is proved that the set of their shifts has a positive lower density. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2020 |
| CC license |
|