A note on prime zeta function and Riemann zeta function. Corrigendum

Mladen Vassilev-Missana
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 2, Pages 51–53
DOI: 10.7546/nntdm.2021.27.2.51-53
Full paper (PDF, 141 Kb)

Details

Authors and affiliations

Mladen Vassilev-Missana
V. Hugo 5 Str, 1124, Sofia, Bulgaria

Abstract

In [1] the author proposed two new results concerning the prime zeta function and the Riemann zeta function but they turn out to be wrong. In the present paper we provide their correct form.

Keywords

• Prime zeta function
• Riemann zeta function
• Prime numbers

2020 Mathematics Subject Classification

• 11A25
• 11M06

References

1. Vassilev-Missana, M. (2016). A note on prime zeta function and Riemann zeta function. Notes on Number Theory and Discrete Mathematics, 22(4), 12–15.
2. Brent, R. P. (2021). On two theorems of Vassilev-Missana, Notes on Number Theory and  Discrete Mathematics, 27(2), 49–50.
3. Glaisher, J. W. L. (1891). On the sums of inverse powers of the prime numbers.
   The Quarterly Journal of Mathematics, 25, 347–362.
4. Fröberg, C.-E. (1968). On the prime zeta function. BIT Numerical Mathematics, 8, 187–202.
5. Cohen, H. (2000). Advanced Topics in Computational Number Theory. New York: Springer-Verlag.