| Title |
On value distribution of certain Beurling zeta-functions / |
| Authors |
Laurinčikas, Antanas |
| DOI |
10.3390/math12030459 |
| Full Text |
|
| Is Part of |
Mathematics.. Basel : MDPI. 2024, vol. 12, iss. 3, art. no. 459, p. [1-15].. eISSN 2227-7390 |
| Keywords [eng] |
Beurling zeta-function ; generalized integers ; generalized prime numbers ; weak convergence of probability measures |
| Abstract [eng] |
In this paper, the approximation of analytic functions by shifts (Formula presented.) of Beurling zeta-functions (Formula presented.) of certain systems (Formula presented.) of generalized prime numbers is discussed. It is required that the system of generalized integers (Formula presented.) generated by (Formula presented.) satisfies (Formula presented.), (Formula presented.), (Formula presented.), and the function (Formula presented.) in some strip lying in (Formula presented.), (Formula presented.), which has a bounded mean square. Proofs are based on the convergence of probability measures in some spaces. |
| Published |
Basel : MDPI |
| Type |
Journal article |
| Language |
English |
| Publication date |
2024 |
| CC license |
|
