On two theorems of Vassilev-Missana

Richard P. Brent
Notes on Number Theory and Discrete Mathematics
Print ISSN 1310–5132, Online ISSN 2367–8275
Volume 27, 2021, Number 2, Pages 49–50
DOI: 10.7546/nntdm.2021.27.2.49-50
Full paper (PDF, 134 Kb)

Details

Authors and affiliations

Richard P. Brent
Mathematical Sciences Institute, Australian National University
Canberra, ACT 2600, Australia

Abstract

We show that Theorem 1 of Vassilev-Missana [this journal, 2016, 22(4), 12–15] is false, and deduce that Theorem 2 of the same paper is also false.

Keywords

• Riemann zeta-function
• Prime zeta-function.

2020 Mathematics Subject Classification

• 11M06
• 11A25

References

1. Brent, R. P. (2021). On some results of Agélas concerning the GRH and of Vassilev- Missana concerning the prime zeta function. arXiv 2103.09418. Available online at: https://arxiv.org/abs/2103.09418.
2. Fröberg, C.-E. (1968). On the prime zeta function. BIT Numerical Mathematics, 8, 187–202.
3. 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.