Back to Search
Start Over
On Value Distribution of Certain Beurling Zeta-Functions.
- Source :
-
Mathematics (2227-7390) . Feb2024, Vol. 12 Issue 3, p459. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, the approximation of analytic functions by shifts  ζ P (s + i τ)  of Beurling zeta-functions  ζ P (s)  of certain systems  P  of generalized prime numbers is discussed. It is required that the system of generalized integers  N P  generated by  P  satisfies  ∑ m ⩽ x , m ∈ N 1 = a x + O (x δ) ,  a > 0 ,  0 ⩽ δ < 1 , and the function  ζ P (s)  in some strip lying in  σ ^ < σ < 1 ,  σ ^ > δ , which has a bounded mean square. Proofs are based on the convergence of probability measures in some spaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- *PRIME numbers
*PROBABILITY measures
*INTEGERS
*ZETA functions
*ANALYTIC functions
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 12
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 175370080
- Full Text :
- https://doi.org/10.3390/math12030459