What is recorded here?
Gave a quantitative proof of Szemerédi's theorem using higher-order uniformity methods and additive-combinatorial structure, producing explicit bounds.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is Gowers's sole-author 2001 paper. It is a new proof and quantitative framework, not the original theorem, Furstenberg's ergodic proof or all later inverse-theorem developments.
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People and systems
W. Timothy Gowers
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Documented countries / regions: United Kingdom
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English catalogue narrative
Gowers: a new proof of Szemerédi's theorem
Gave a quantitative proof of Szemerédi's theorem using higher-order uniformity methods and additive-combinatorial structure, producing explicit bounds.
Scientific scope
The record is Gowers's sole-author 2001 paper. It is a new proof and quantitative framework, not the original theorem, Furstenberg's ergodic proof or all later inverse-theorem developments.
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
W. Timothy Gowers
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.