Kevin Henriot

activity

20112016

most citedNair-Tenenbaum bounds uniform with respect to the discriminant

54 citations · 90 across the 6 of their papers we have counts for

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3 papers · 1 filter

math.CO2015★ 8 cited

Additive equations in dense variables via truncated restriction estimates

Kevin Henriot

We study translation-invariant additive equations of the form $\sum_{i = 1}^{s} λ_{i} P (n_{i}) = 0$ in variables $n_{i} \in Z^{d}$ , where the $λ_{i}$ are nonz…

math.CO2014

Logarithmic bounds for translation-invariant equations in squares

Kevin Henriot

We show that the equation $λ_{1} n_{1}^{2} + ... + λ_{s} n_{s}^{2} = 0$ admits non-trivial solutions in any subset of $[N]$ of density $(lo g N)^{- c_{s}}$ , provided that $s \geq 7$ and the coeff…

math.CO2013★ 4 cited

Arithmetic progressions in sets of small doubling

Kevin Henriot

We show that if a finite, large enough subset A of an arbitrary abelian group satisfies the small doubling condition |A + A| < (log |A|)^{1 - epsilon} |A|, then A must contain a th…