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Journal of Discrete Mathematical Sciences and Cryptography

(Since 1998)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0065·ISSN (Print): 0972-0529

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Journal of Discrete Mathematical Sciences and Cryptography
Open Access Research Article

On using of weird number sequence in counting Beurling prime systems

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pp. 1695–1704Vol. 27Issue 5August 2024DOI: 10.47974/JDMSC-2011 Crossmark XML
Received:
10 Jan 2024
Published Online:
26 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2011
Pages:
1695–1704

Abstract

Beurling introduces the generalisation of the primes in the third decade of last century. He said in his work that any positive , increasiy real sequences {ri}∞i=1 with r1 precisely qreatar than one called Beurling  primes the fundamental Furthermore, the series of Beurling integers (or B-integers) could be generated by using the F-T-A. This work adapted the generalization  Balanzarios work “Exampls of the generalised prime system“ where using the sequence of weird numbers to show that size of |N(x) – ax|, a > 0 is always less that the asymptotic behavior of πq(x).

Keywords

F-T-A and B-prime systems

Subject Classifications

11D4554G20

References

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