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de Bruijn, On the number of integers ⩽ x whose prime factors divide n

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Bounds on the exceptional set in the $abc$ conjecture

math.NT · 2024-10-16 · unverdicted · novelty 6.0

Power-saving bound on the exceptional set for the abc conjecture, obtained via density estimates on high-dimensional varieties using geometry of numbers and Fourier analysis.

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  • Bounds on the exceptional set in the $abc$ conjecture math.NT · 2024-10-16 · unverdicted · none · ref 4

    Power-saving bound on the exceptional set for the abc conjecture, obtained via density estimates on high-dimensional varieties using geometry of numbers and Fourier analysis.