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20232025
most citedCounting solutions to invariant equations in dense sets

2 citations · 2 across the 4 of their papers we have counts for

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math.CO2023

New bounds in the Bogolyubov-Ruzsa lemma

Tomasz Kosciuszko, Tomasz Schoen

We establish new bounds in the Bogolyubov-Ruzsa lemma, demonstrating that if A is a subset of a finite abelian group with density alpha, then 3A-3A contains a Bohr set of rank O(lo…

math.NT2023★ 2 cited

Counting solutions to invariant equations in dense sets

Tomasz Kosciuszko

We prove a lower bound of exp(-C (log(2/alpha))^7)N^{k-1} to the number of solutions of an invariant equation in k variables, contained in a set of density alpha. Moreover, we give…