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Proof of the Riemann Hypothesis via Distributional and Laplace Methods

Year: 2025
Type: article
Abstract: This preprint presents a complete proof of the Riemann Hypothesis based on a distributional framework and a reductio ad absurdum argument. The analysis relies on the Laplace transform of a distribution constructed from the non-trivial zeros of the zeta function. A contradiction with the Beurling–Nyman criterion is obtained under the assumption of a zero off the critical line. The proof is detailed, formally structured, and supported by distribution theory, Nevanlinna value distribution, and analytic estimates. I published this, hoping that you also can check the proof and if you also verify it by yourself, I wish you can share your feedback writing at my email [email protected]
Author: Laguardia, Massimino
Language: English
Open Access status: green
OpenAlex ID: W6949501041
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