An extension of the Siegel-Walfisz theorem

2020/11/12 by Weingartner, Andreas
#11N25 #11N69 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2011.06627

Abstract

We extend the Siegel-Walfisz theorem to a family of integer sequences that are characterized by constraints on the size of the prime factors. Besides prime powers, this family includes smooth numbers, almost primes and practical numbers.

Related

• Elementary Proof of the Siegel-Walfisz Theorem
• On sequences of integers with small prime factors
• Medium-sized values for the Prime Number Theorem for primes in\n arithmetic progression
• A higher-dimensional Siegel-Walfisz theorem
• A Set of Sequences in Number Theory