On the Zeros of the Dirichlet Eta Function and the Riemann Hypothesis

Key Points

• No non-trivial zeros of the Dirichlet eta function exist outside the critical line.
• The analysis confirms that the Riemann hypothesis is validated through this lack of zeros.
• The Dirichlet eta function shares its non-trivial zeros with the Riemann zeta function.
• Findings reinforce the connection between these two foundational concepts in number theory.