Ludovick Bouthat

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20212026

p

-norm of

A_{s}

and

C

-matrices

6 citations · 23 across the 18 of their papers we have counts for

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math.CV2026

A proof of Borcea's quadratic variance conjecture

Ludovick Bouthat, Shaun Fallat

Let $p$ be a complex polynomial of degree $n \geq 2$ , and let $σ_{2} (p)$ be the root mean square distance of its zeros from their centroid, including multiplicities. We prove that every…

math.CV2026

The sharp constant in the Mashreghi-Ransford inequality

Ludovick Bouthat

Let $(a_{n})_{n \geq 0}$ be a sequence of complex numbers, and define \[ b_n=\sum_{k=0}^n \binom{n}{k} a_k, \qquad c_n=\sum_{k=0}^n \binom{n}{k}(-1)^{n-k}a_k. \] Let $β > 1$ , put $α=\sqr…