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Weighted Discrete Universality of the Riemann Zeta-Function.
- Source :
-
Mathematical Modelling & Analysis . 2020, Vol. 25 Issue 1, p21-36. 16p. - Publication Year :
- 2020
-
Abstract
- It is well known that the Riemann zeta-function is universal in the Voronin sense, i.e., its shifts ζ(s + iт), т ∊ R, approximate a wide class of analytic functions. The universality of ζ(s) is called discrete if т take values from a certain discrete set. In the paper, we obtain a weighted discrete universality theorem for ζ(s) when т takes values from the arithmetic progression fkh : k ∊ Ng with arbitrary fixed h > 0. For this, two types of h are considered. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ANALYTIC functions
*ZETA functions
*ARITHMETIC series
Subjects
Details
- Language :
- English
- ISSN :
- 13926292
- Volume :
- 25
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Mathematical Modelling & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 141266853
- Full Text :
- https://doi.org/10.3846/mma.2020.10436