# On prime vs. prime power pairs

## Analyse Fonctionnelle

Lieu:
Salle Kampé de Fériet M2
Orateur:
Yuta Suzuki
Affiliation:
Nagoya University
Dates:
Vendredi, 28 Avril, 2017 - 14:00 - 15:00
Résumé:
In this talk, we consider pairs of a prime and a prime power with a
fixed difference. Such ”prime vs. prime power” pairs can be seen as a
generalization of the twin prime pairs and the ”prime vs. square”
pairs. We prove an average result on the distribution of prime vs.
prime power pairs, which is a partial improvement of the result of
Bauer (1998).