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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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.NT2014

On systems of complexity one in the primes

Kevin Henriot

Consider a translation-invariant system of linear equations $V x = 0$ of complexity one, where $V$ is an integer $r \times t$ matrix. We show that if $A$ is a subset of the primes…