What is recorded here?
New analytic structural and density-increment methods give a stretched-exponential-in-logN upper bound on the density of three-term-progression-free subsets of {1,…,N}. The paper develops related finite-field structural results as a route to the integer theorem.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
This is an upper bound with unspecified absolute constants here, not the exact extremal function or a matching Behrend exponent. The finite-field estimate is explicitly weaker than then-known algebraic bounds; analytic transfer, rather than a new best finite-field cap-set bound, is the relevant distinction.
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People and systems
Zander Kelley; Raghu Meka
Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.
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English catalogue narrative
Kelley and Meka: stretched-exponential density bounds for integer three-term progressions
New analytic structural and density-increment methods give a stretched-exponential-in-logN upper bound on the density of three-term-progression-free subsets of {1,…,N}. The paper develops related finite-field structural results as a route to the integer theorem.
Scientific scope
This is an upper bound with unspecified absolute constants here, not the exact extremal function or a matching Behrend exponent. The finite-field estimate is explicitly weaker than then-known algebraic bounds; analytic transfer, rather than a new best finite-field cap-set bound, is the relevant distinction.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Zander Kelley; Raghu Meka
Source-listed authors for the exact contribution; experimental subjects are not autonomous scientific authors. Source support and predecessor work retain separate roles. Individual effort shares and unresolved identities are not inferred.