Quantum Physics

    

The Proof of the Riemann Conjecture

Authors: Liao Teng

In order to strictly prove the hypotheses and conjectures in Riemann's 1859 paper "The Number of prime Numbers not greater than x" from a purely mathematical point of view, and to strictly prove the generalized hypotheses and conjectures, this paper studies the relationship between symmetric and conjugate zeros of Riemann ζ(s) function and Riemann ξ(t) function by using Euler's formula,it is found that the symmetry and conjugation of the nontrivial zeros of the Riemann ζ(s) function are consistent, and the zeros of the Riemann ξ(t) function are symmetric and non-conjugated, it is proved that the zeros of the Riemann ξ(t) function must be all real numbers,the Riemann hypothesis and the Riemann conjecture are completely correct.

Comments: 58 Pages.

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Submission history

[v1] 2024-09-07 22:14:09
[v2] 2024-09-13 21:14:56
[v3] 2024-09-20 22:29:49
[v4] 2024-10-04 11:19:35
[v5] 2025-01-21 21:41:24

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