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On the Discrete Approximation by the Mellin Transform of the Riemann Zeta-Function.
- Source :
-
Mathematics (2227-7390) . May2023, Vol. 11 Issue 10, p2315. 15p. - Publication Year :
- 2023
-
Abstract
- In the paper, it is obtained that there are infinite discrete shifts Ξ (s + i k h) , h > 0 , k ∈ N 0 of the Mellin transform Ξ (s) of the square of the Riemann zeta-function, approximating a certain class of analytic functions. For the proof, a probabilistic approach based on weak convergence of probability measures in the space of analytic functions is applied. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 11
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 163971889
- Full Text :
- https://doi.org/10.3390/math11102315