About the work
This work claims a complete and definitive proof of the Riemann Hypothesis, one of the most profound open problems in mathematics. Through a novel adelic operator-theoretic construction, we establish an entire function
𝐷
(
𝑠
)
D(s) of order ≤ 1 with the correct functional equation, canonical normalization, and explicit formula, fully matching the Riemann ξ-function.
Highlights:
Canonical construction of
𝐷
(
𝑠
)
D(s) via S-finite adelic smoothing and Fredholm determinants.
Precise handling of Archimedean and arithmetic contributions without recourse to Euler products.
Non-vanishing of the ratio determinant off Re s = 1/2, implying RH.
Uniqueness and identification with ξ(s) through a Paley–Wiener two-line lemma.
The method is independent of ζ(s) and Ξ(s) in the initial sections, eliminating circularity. This represents a new chapter in analytic number theory, embedding RH within a trace-class adelic framework.
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Title The Final Resolution of the Riemann Hypothesis: A Proof via S-Finite Adelic Systems
This work claims a complete and definitive proof of the Riemann Hypothesis, one of the most profound open problems in mathematics. Through a novel adelic operator-theoretic construction, we establish an entire function
𝐷
(
𝑠
)
D(s) of order ≤ 1 with the correct functional equation, canonical normalization, and explicit formula, fully matching the Riemann ξ-function.
Highlights:
Canonical construction of
𝐷
(
𝑠
)
D(s) via S-finite adelic smoothing and Fredholm determinants.
Precise handling of Archimedean and arithmetic contributions without recourse to Euler products.
Non-vanishing of the ratio determinant off Re s = 1/2, implying RH.
Uniqueness and identification with ξ(s) through a Paley–Wiener two-line lemma.
The method is independent of ζ(s) and Ξ(s) in the initial sections, eliminating circularity. This represents a new chapter in analytic number theory, embedding RH within a trace-class adelic framework.
Work type Education, Informative
Tags the riemann hypothesis in full
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Registry info in Safe Creative
Identifier 2509073009517
Entry date Sep 7, 2025, 7:13 PM UTC
License All rights reserved
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Author 100.00 %. Holder JOSE MANUEL MOTA BURRUEZO. Date Sep 7, 2025.
Information available at https://www.safecreative.org/work/2509073009517-the-final-resolution-of-the-riemann-hypothesis-a-proof-via-s-finite-adelic-systems
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Registration: 2509073009517
