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has gloss | eng: Vitaly Bergelson (b. 1950, Kiev Among Bergelsons best-known results is a polynomial generalization of Szemerédis theorem. The latter provided a positive solution to the famous Erdős–Turán conjecture from 1936 stating that any set of integers of positive upper density contains arbitrarily long arithmetic progressions. In a 1996 paper Bergelson and Leibman obtained an analogous statement for "polynomial progressions". The Bergelson-Leibman theorem and the techniques developed in its proof spurred significant further applications and generalizations, particularly in the recent work of Terence Tao. |
lexicalization | eng: Vitaly Bergelson |
instance of | c/20th-century mathematicians |
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