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math.NT2023★ 1 cited
The Bombieri-Pila determinant method
Thomas F. Bloom, Jared Duker Lichtman
We give a concise and accessible introduction to the real-analytic determinant method for counting integral points on algebraic curves, based on the classic 1989 paper of Bombieri…
math.NT2023★ 4 cited
An improvement to the Kelley-Meka bounds on three-term arithmetic progressions
Thomas F. Bloom, Olof Sisask
In a recent breakthrough Kelley and Meka proved a quasipolynomial upper bound for the density of sets of integers without non-trivial three-term arithmetic progressions. We present…