Y. Gati

collaborators

3 papers

math.CA2026

Where not to find the spectrum of the partial theta function

Yousra Gati, Vladimir Petrov Kostov

The spectrum of Ramanujan's partial theta function $I^¸ (q, x) := \sum_{j = 0}^{\infty} q^{j (j + 1) /2} x^{j}$ , $q \in D_{1}$ (the unit disk centered at the origin), $x \in C$ , is…

math.CA2025

Midpoints and critical points

Yousra Gati, Vladimir Petrov Kostov

For a degree $5$ real polynomial with roots $x_{1} \leq \dots \leq x_{5}$ and roots $I^¾_{1} \leq \dots \leq I^¾_{4}$ of its derivative, we set $z_{j} := (x_{j} + x_{j + 1}) /2$ , $1 \leq j \leq 4$ . We pr…

math.NA2025

Numerical approach for solving problems arising from polynomial analysis

Yousra Gati, Vladimir Petrov Kostov, Mohamed Chaouki Tarchi

This paper deals with the use of numerical methods based on random root sampling techniques to solve some theoretical problems arising in the analysis of polynomials. These methods…