Cédric Pilatte

activity

20182026

most citedUnconditional correctness of recent quantum algorithms for factoring and computing discrete logarithms

5 citations · 12 across the 5 of their papers we have counts for

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math.CO2021

New bound for Roth's theorem with generalized coefficients

Cédric Pilatte

We prove the following conjecture of Shkredov and Solymosi: every subset $A \subset Z^{2}$ such that $\sum_{a \in A ∖ {0}} 1/ ∥ a ∥^{2} = + \infty$ contains…

math.CO2018★ 4 cited

On the sets of $n$ points forming $n + 1$ directions

Cédric Pilatte

Let $S$ be a set of $n \geq 7$ points in the plane, no three of which are collinear. Suppose that $S$ determines $n + 1$ directions. That is to say, the segments whose endpoints are i…

New bound for Roth's theorem with generalized coefficients

On the sets of n points forming n+1 directions

On the sets of $n$ points forming $n + 1$ directions