Riemann Hypothesis: the effective critical strip

Maggio 21st, 2023 | by Marcello Colozzo |

Riemann Hypothesis: the effective critical strip


In this paper we study the behavior of a holomorphic function having the same non-trivial zeros as the Riemann zeta function, and which turns out to be a Fourier transform. From this analysis will follow a "narrowing" of the critical band associated with the zeta function.

Topics of this ebook:
- Introduction (Dirichlet series)
- A remarkable integral representation
- Riemann Hypothesis and Fourier Transform
- Zeros of the Fourier Transform

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