Sarah Peluse

activity

20122026

most citedOn the polynomial Szemerédi theorem in finite fields

26 citations · 74 across the 21 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.NT2019★ 21 cited

Bounds for sets with no polynomial progressions

Sarah Peluse

Let $P_{1}, \dots, P_{m} \in Z [y]$ be polynomials with distinct degrees, each having zero constant term. We show that any subset $A$ of ${1, \dots, N}$ with no nontrivial progress…

math.NT2019★ 2 cited

Quantitative bounds in the nonlinear Roth theorem

Sarah Peluse, Sean Prendiville

We show that there exists $c > 0$ such that any subset of ${1, \dots, N}$ of density at least $(lo g lo g N)^{- c}$ contains a nontrivial progression of the form $x, x + y, x + y^{2}$ . This…