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PreprintCC BY 4.0OSF Preprints

Proof of the Riemann Hypothesis through the limit of an approximated ξ function

  • Enrico Pier Giorgio Cadeddu
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Abstract

Considering an approximated Riemann ξ(s) function defined with a parametric function s(Q) , and considering an appropriate fractional function ξ(s)/ξ (1-s), it is shown that the rate to reach the exact value ξ(s) = 0, and the exact form, causes a contradiction when the real part σ of the complex variable s is different from 1/2.

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Cite

BibTeXRIS
BibTeX
@misc{cadeddu2026proof,
  title = {{Proof of the Riemann Hypothesis through the limit of an approximated ξ function}},
  author = {Enrico Pier Giorgio Cadeddu},
  howpublished = {OSF Preprints},
  year = {2026},
  month = sep,
  doi = {10.31219/osf.io/bvmxc_v5},
  url = {https://osf.io/bvmxc_v5/},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Proof of the Riemann Hypothesis through the limit of an approximated ξ function
AU  - Enrico Pier Giorgio Cadeddu
PY  - 2026
DA  - 2026/09/28
PB  - OSF Preprints
DO  - 10.31219/osf.io/bvmxc_v5
UR  - https://osf.io/bvmxc_v5/
AB  - Considering an approximated Riemann ξ(s) function defined with a parametric function s(Q) , and considering an appropriate fractional function ξ(s)/ξ (1-s), it is shown that the rate to reach the exact value ξ(s) = 0, and the exact form, causes a contradiction when the real part σ of the complex variable s is different from 1/2.
ER  -