ACCUEIL / Events / Explicit bounds on the coefficients of the modular polynomials $\Phi_N$

Explicit bounds on the coefficients of the modular polynomials $\Phi_N$

Date/heure
11 juin 2026
14:30 - 15:30

Oratrice ou orateur
Désirée Gijon Gomez

Catégorie d'évènement
Séminaire de Théorie des Nombres de Nancy-Metz

Résumé

We give explicit upper and lower bounds on the size of the coefficients of the modular polynomials $\Phi_N$ for the $j$-invariant. These bounds make explicit the best previously known asymptotic bounds. This is joint work with Fabien Pazuki and Florian Breuer.