Source / pinned edition

Riemann Hypothesis

Source of package cmi.riemann_hypothesis · claymath.org/millennium/Riemann-Hypothesis/

work
urn:org:cmi:riemann-hypothesis#CMI_RH_CARD
number
claymath.org/millennium/Riemann-Hypothesis/
kind
urn:org:cmi:riemann-hypothesis#treatise

CMI_RH_CARD_SNAPSHOT

edition
urn:org:cmi:riemann-hypothesis#CMI_RH_CARD_SNAPSHOT
language
en
officiality
official
materialisation
PINNED_UNOFFICIAL_COPY
life cycle
—

Publications

URITypedocumentHashRetrieved
https://www.claymath.org/millennium/Riemann-Hypothesis/text/plain; charset=utf-8sha256:c352f801cc1961142ca8bdb0f2e4a1c1cef5beb045303c4f6b602dc9dd76579a2026-09-16T19:57:00Z

Fragments — 4

overview.intro · defn

en · official · sha256:1f1d92b74a792c68b707f5a67aed3d4bea14fbb6e4fc68a8e81630dd04546baa

The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann's 1859 paper, it asserts that all the 'non-obvious' zeros of the zeta function are complex numbers with real part 1/2.
overview.statement · defn · referenced by: 3

en · official · sha256:67b7383c817261f171e304a19774af00069750626e321aac511091e44ad63dad

The Riemann hypothesis asserts that all interesting solutions of the equation zeta(s) = 0 lie on a certain vertical straight line.

Referencing norms: CmiRhCardStatement, card-asserts, card-identifies-rh

title · defn · referenced by: 6

en · official · sha256:af0560fc0458a8f0ba26747c0e8ddbbe6c1fd17a8da1a11c047781ac100b4e4f

Riemann Hypothesis Unsolved

Referencing norms: CmiRhCardSource, card-classified, card-links-bombieri, card-reports-open, classified_as_millennium_problem, links_to_related_material

overview.verification · defn · referenced by: 3

en · official · sha256:2c34a8908110bc34c765caff17be25bf2803df42dda2e0bdcfa095c5129a4337

This has been checked for the first 10,000,000,000,000 solutions.

Referencing norms: CmiCardVerificationEvidence, card-reports-verification, card-verification-is-zero-count

The hash beside the text is the sha256 of its exact bytes. It is the check that the text shown matches the one pinned in the package: a divergence fails the oracle’s static analysis.