Will Sawin

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20242026

most citedThe sum-product conjecture is false for real numbers

1 citations · 3 across the 7 of their papers we have counts for

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Showing 2026 · math.NTShow all

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math.NT2026

Sets of unit fractions without two members whose average is a unit fraction

Will Sawin

We show that there is a constant $c > 0$ such that, for all sufficiently large $N$ , there is a subset $A \subseteq {1, \dots, N}$ of size $> c N$ such that for any two distinct element…

math.NT2026★ 1 cited

The sum-product conjecture is false for real numbers

Thomas F Bloom, Will Sawin, Carl Schildkraut +1

We disprove the sum-product conjecture for real numbers by constructing arbitrarily large $A \subset R$ (whose elements are algebraic integers in a number field of degree $…