%0 Journal Article %T Zeros of the Eta and Zeta Functions %A John H. Heinbockel %J Journal of Applied Mathematics and Physics %P 256-266 %@ 2327-4379 %D 2025 %I Scientific Research Publishing %R 10.4236/jamp.2025.131011 %X 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. %K Riemann Hypothesis %K Zeta Function Zeros %K Dirichlet Eta Function Zeros %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=140079