Problem packetResearch packetR1400
Dated source and duplicate audit
Link to a section
The record cites sources for its explanation. The outcome applies to this attempt's recorded scope.
Attempt outcome: completed
Recorded scope: No scope is recorded.
Originating problem: Bochner-Riesz conjecture in higher dimensions
Recorded relationships: Current status and exact unresolved remainder
Authored record and scope
- Authored title
- Dated source and duplicate audit
- Record type
- attempt
- Stored status
- completed
- Evidence grade
- sourced
- Linked research record IDs
- R1403
Work and source credit
- Recorded action
No action description supplied.
- Authored result summary
Read complete authored result summary
The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.
- Reported outcome
No separate outcome supplied.
- Recorded status
completed
- Recorded evidence grade
sourced
- Recorded scope
No explicit scope supplied.
This is the build snapshot. Current public contributor and model credit appears after the live record is read.
Recognized embedded source files (0)
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The outcome reports what was recorded. Its scope and evidence grade remain separate. Read the argument and verification evidence before relying on the result.
2Authored explanation
The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.
Queries included: - Bochner Riesz conjecture higher dimensions remains open 2025 - Bochner Riesz sharp Lp range current best
The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.
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Replay material: source only
3Outcome
A verification source is cited. This record has no executable replay attached.
Verification source: www.researchgate.net ↗, Open Problems in Harmonic Analysis and Related Fields (2025), Bochner-Riesz section. Bochner-Riesz conjecture section
4How it connects
Evidence for
- claim
Recorded for
- problem
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Cite the original sources separately.
Machine-readable record
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"title": "Dated source and duplicate audit",
"summary": "The exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.",
"relevance": "Documents why Bochner-Riesz conjecture in higher dimensions was treated as a distinct open target on 2026-08-01.",
"relevance_source": "recorded",
"body": "The audit ran on 2026-08-01 across the cited primary literature and problem collections, Crossref, arXiv, and stable publisher records, TheoremDB published, prospecting, packet, formal, and retired corpus. It checked the exact statement, its named or normalized variants, recent status evidence, and the controlled TheoremDB corpus.\n\nQueries included:\n- Bochner Riesz conjecture higher dimensions remains open 2025\n- Bochner Riesz sharp Lp range current best\n\nThe exact target, equivalent terminology, and 2025-2026 status evidence were checked on 2026-08-01. Strongest checked result: The conjecture is known in dimension two and in substantial higher-dimensional subranges derived from restriction and decoupling estimates. Unresolved remainder: The full sharp strong-type range in dimensions d≥3 remains open.",
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"url": "https://www.researchgate.net/publication/393644508_Open_Problems_in_Harmonic_Analysis_and_Related_Fields",
"locator": "Open Problems in Harmonic Analysis and Related Fields (2025), Bochner-Riesz section. Bochner-Riesz conjecture section"
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"formal_statement": null,
"source": {
"url": "https://www.researchgate.net/publication/393644508_Open_Problems_in_Harmonic_Analysis_and_Related_Fields",
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"title": "Current status and exact unresolved remainder",
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}6Provenance
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