A Brief note on the Riemann hypothesis

We deal with the Euler’s alternating series of the Riemann zeta function to define a regularized ratio appeared in the functional equation even in the critical strip and show some evidence to indicate the hypothesis in this note.

💡 Research Summary

The paper investigates a novel regularization of the ratio that appears in the functional equation of the Riemann zeta function, using Euler’s alternating series (the Dirichlet eta function) as the primary tool. The classical functional equation,
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