A Brief Note on the Riemann hypothesis II

Abstract

We have dealt 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 showed some evidence to indicate the hypothesis. We briefly review the essential points and we also define a finite ratio in the functional equation from divergent quantities in this note.

8 pages, as the former paper "A brief note on the Riemann hypothesis" has been replaced, the summary and the appendix are added. Result unchanged

References in corpus (3)

• Regularization for zeta functions with physical applications II
• Regularizations of the Euler product representation for zeta functions and the Birch--Swinnerton-Dyer conjecture
• Regularized Euler product for the zeta function and the Birch and Swinnerton-Dyer and the Beilinson conjecture