A general sieve problem
Andreas Weingartner
South Utah University (É.-U.)
https://www.researchgate.net/profile/Andreas-Weingartner
Date(s) : 10/05/2022 iCal
11h00 - 12h00
Given an arithmetic function 𝜃, we consider the set
where 𝑝 and 𝑞 denote primes. Depending on the choice of 𝜃, the possible sets 𝓑𝜃 include the set of prime powers, almost primes, friable numbers, dense numbers, and practical numbers.
We will discuss (1) asymptotic results for the counting function of 𝓑𝜃, (2) a generalization of the Siegel-Walfisz theorem, and (3) the normal order of the number of prime factors of integers in 𝓑𝜃.
Emplacement
I2M Luminy - Ancienne BU, Salle Séminaire2 (RdC)
Catégories
