MARGAUx PhD Days 2023

Haojie Hong - On primes of a class of algebraic numbers in quadratic fields

23 mai 2023, 09:45

20m

Laboratoire de Mathématiques et Applications (Poitiers)

Description

Let r be an algebraic number of degree 2 and not a root of unity. We can show that there exists a prime ideal P of Q(r) satisfying $\nu_P(r^n-1)\ge 1$, such that the rational prime underlying P grows quicker than n