22–24 mai 2023
Poitiers
Fuseau horaire Europe/Paris

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)

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

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