Franccois Cl'ement

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20212026

most citedLebesgue integration. Detailed proofs to be formalized in Coq

1 citations · 2 across the 18 of their papers we have counts for

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math.CA2025

Many critical points for discrete Riesz energy on $T^{2}$

François Clément, Stefan Steinerberger

It is widely believed that the energy functional $E_{p} : (S^{2})^{n} \to R$ $E_{p} = i \neq = j i , j = 1 \sum n \frac{1}{∥ x _{i} - x _{j} ∥ ^{p}}$ has a number of cr…

math.CA2024

Failure of Orthogonality of Rounded Fourier Bases

François Clément, Stefan Steinerberger

The purpose of this note is to prove estimates for $$ \left| \sum_{k=1}^{n} \mbox{sign} \left( \cos \left( \frac{2πa}{n} k \right) \right) \mbox{sign} \left( \cos \left( \frac{2πb}…

Many critical points for discrete Riesz energy on T2

Failure of Orthogonality of Rounded Fourier Bases

Many critical points for discrete Riesz energy on $T^{2}$