Eid's Covenant: A Unified Adelic–Phase–Xi Program for the Riemann Hypothesis, with Supplementary Notes

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Auteur principal: EID, SALEM
Format: Recurso digital
Langue:anglais
Publié: Zenodo 2026
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author EID, SALEM
author_facet EID, SALEM
contents <div class="relative w-full mt-4 mb-1"> <div class=""> <div class="relative"> <div class="h-full min-h-0 min-w-0"> <div class="h-full min-h-0 min-w-0"> <div class="border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl"> <div class="h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback"> <div class="relative"> <div class="pe-11 pt-3"> <div class="relative z-0 flex max-w-full"> <div class="q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr"> <div class="cm-scroller"> <div class="cm-content q9tKkq_readonly"> <div class="relative w-full mt-4 mb-1"> <div class=""> <div class="relative"> <div class="h-full min-h-0 min-w-0"> <div class="h-full min-h-0 min-w-0"> <div class="border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl"> <div class="h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback"> <div class="relative"> <div class="pe-11 pt-3"> <div class="relative z-0 flex max-w-full"> <div class="q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr"> <div class="cm-scroller"> <div class="cm-content q9tKkq_readonly">This Zenodo record contains the main preprint “Eid's Covenant: A Unified Adelic–Phase–Xi Program for the Riemann Hypothesis” together with a supplementary technical note. The main manuscript develops a unified research architecture around the Riemann Hypothesis, while the supplement sharpens several bridge lemmas concerning the adelic trace layer, the canonical tail phase, spectral entire reconstruction, average phase discrepancy, logarithmic tail corrections, and Gaussian mollification.</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class=""> <div class=""> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class=""> <div class=""> </div> </div> </div> </div> </div>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19708404
institution Zenodo
language eng
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Eid's Covenant: A Unified Adelic–Phase–Xi Program for the Riemann Hypothesis, with Supplementary Notes
EID, SALEM
Riemann Hypothesis
Riemann zeta function
spectral theory
Toeplitz positivity
entire functions
SALEM EID
Mathematics
xi-function
adelic analysis
<div class="relative w-full mt-4 mb-1"> <div class=""> <div class="relative"> <div class="h-full min-h-0 min-w-0"> <div class="h-full min-h-0 min-w-0"> <div class="border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl"> <div class="h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback"> <div class="relative"> <div class="pe-11 pt-3"> <div class="relative z-0 flex max-w-full"> <div class="q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr"> <div class="cm-scroller"> <div class="cm-content q9tKkq_readonly"> <div class="relative w-full mt-4 mb-1"> <div class=""> <div class="relative"> <div class="h-full min-h-0 min-w-0"> <div class="h-full min-h-0 min-w-0"> <div class="border border-token-border-light border-radius-3xl corner-superellipse/1.1 rounded-3xl"> <div class="h-full w-full border-radius-3xl bg-token-bg-elevated-secondary corner-superellipse/1.1 overflow-clip rounded-3xl lxnfua_clipPathFallback"> <div class="relative"> <div class="pe-11 pt-3"> <div class="relative z-0 flex max-w-full"> <div class="q9tKkq_viewer cm-editor z-10 light:cm-light dark:cm-light flex h-full w-full flex-col items-stretch ͼd ͼr"> <div class="cm-scroller"> <div class="cm-content q9tKkq_readonly">This Zenodo record contains the main preprint “Eid's Covenant: A Unified Adelic–Phase–Xi Program for the Riemann Hypothesis” together with a supplementary technical note. The main manuscript develops a unified research architecture around the Riemann Hypothesis, while the supplement sharpens several bridge lemmas concerning the adelic trace layer, the canonical tail phase, spectral entire reconstruction, average phase discrepancy, logarithmic tail corrections, and Gaussian mollification.</div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class=""> <div class=""> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> </div> <div class=""> <div class=""> </div> </div> </div> </div> </div>
title Eid's Covenant: A Unified Adelic–Phase–Xi Program for the Riemann Hypothesis, with Supplementary Notes
topic Riemann Hypothesis
Riemann zeta function
spectral theory
Toeplitz positivity
entire functions
SALEM EID
Mathematics
xi-function
adelic analysis
url https://doi.org/10.5281/zenodo.19708404