TITLE:
Zeros of the Eta and Zeta Functions
AUTHORS:
John H. Heinbockel
KEYWORDS:
Riemann Hypothesis, Zeta Function Zeros, Dirichlet Eta Function Zeros
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.13 No.1,
January
22,
2025
ABSTRACT: The eta function is examined over the critical strip
0<σ<1
and there is an investigation of the statement that all zeros of the zeta function must lie on the critical line
Re(
s
)=1/2
. A further investigation is made into the claim that there are no other zeros of the zeta or eta functions within the critical strip.