V. Brugidou

activity

20122024

collaborators

4 papers

math.CO2024

q-power symmetric functions and q-exponential formula

Vincent Brugidou

Let $λ = (λ_{1}, λ_{2}, ..., λ_{r})$ be an integer partition, and $[p_{λ}]$ the $q$ -analog of the symmetric power function . This $q$ -analogue has been…

math.CO2023

On a particular specialization of monomial symmetric functions

Vincent Brugidou

Let $m_{λ}$ be the monomial symmetric functions, $λ$ being an integer partition of $n \in N^{*}$ . For the specialization corresponding to the $q$ -deformation of the ex…

math.CO2023

A q-analog of certain symmetric functions and one of its specializations

Vincent Brugidou

Let the symmetric functions be defined for the pair of integers $(n, r)$ , $n \geq r \geq 1$ , by $p_{n}^{(r)} = \sum m_{λ}$ where $m_{λ}$ are the monomial symme…

math.CV2012

A 2-variable power series approach to the Riemann hypothesis

Vincent Brugidou

We consider the power series in two complex variables By(fb)(x)=S_(n=0)|.A_n^b x^n y^(n(n+1)/2)., where .(-1).^n A_n^b are the non-zero coefficients of the Maclaurin series of the…