Back to Search
Start Over
A Discrete Version of the Mishou Theorem Related to Periodic Zeta-Functions.
- Source :
-
Mathematical Modelling & Analysis . 2024, Vol. 29 Issue 2, p331-346. 16p. - Publication Year :
- 2024
-
Abstract
- In the paper, we consider simultaneous approximation of a pair of analytic functions by discrete shifts ζuN (s + ikh1; a) and ζuN (s + ikh2, α; b) of the absolutely convergent Dirichlet series connected to the periodic zeta-function with multiplicative sequence a, and the periodic Hurwitz zeta-function, respectively. We suppose that uN → ∞ and uN ≪ N2 as N → ∞, and the set {(h1 log p: p ∈ P), (h2 log(m + α): m ∈ N0), 2π} is linearly independent over Q. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ZETA functions
*DIRICHLET series
*ANALYTIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 13926292
- Volume :
- 29
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Mathematical Modelling & Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 176323420
- Full Text :
- https://doi.org/10.3846/mma.2024.19502