| Title |
Joint approximation by Dirichlet L-functions / |
| Authors |
Laurinčikas, Antanas ; Šiaučiūnas, Darius |
| DOI |
10.1515/ms-2022-0004 |
| Full Text |
|
| Is Part of |
Mathematica Slovaca.. Berlin : walter De Gruyter. 2022, vol. 72, no. 1, p. 51-66.. ISSN 0139-9918. eISSN 1337-2211 |
| Keywords [eng] |
Dirichlet L-functions ; joint universality ; functional independence ; weak convergence |
| Abstract [eng] |
In the paper, collections of analytic functions are simultaneously approximated by collections of shifts of Dirichlet L-functions (L(s + iγ1(τ); χ1); : : : ; L(s + iγr(τ); χr)), with arbitrary Dirichlet characters χ1; : : : ; χr. The differentiable functions γ1(τ); : : : ; γr(τ) and their derivatives satisfy certain growth conditions. The obtained results extend those of [Pankowski, L.: ´ Joint universality for dependent L-functions, Ramanujan J. 45 (2018), 181{195]. |
| Published |
Berlin : walter De Gruyter |
| Type |
Journal article |
| Language |
English |
| Publication date |
2022 |
| CC license |
|
