Diophantine approximations with restricted denominators

Date/heure
6 novembre 2025
14:30 - 15:30

Lieu
Salle Döblin

Oratrice ou orateur
Habibur Rahaman (IISER Kolkata, Inde)

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


Résumé

In this talk, we will discuss diophantine approximations of irrational numbers by rational numbers, where the denominators are taken from certain interesting subsets of the positive integers. First, we will consider Diophantine approximations in which the denominators are drawn from the set of positive integers represented by a given positive definite integral binary quadratic form. Next, we will discuss Diophantine approximations where the denominators are restricted to the set of y-smooth (or friable) numbers for some given y > 0. Finally, we will outline some of the proofs.