Some examples in the theory of Beurling’s generalized prime numbers
Volume 176 / 2016
Acta Arithmetica 176 (2016), 101-129
MSC: Primary 11N80; Secondary 11N05, 11M41, 11M45.
DOI: 10.4064/aa8168-7-2016
Published online: 10 October 2016
Abstract
Several examples of generalized number systems are constructed to compare various conditions occurring in the literature for the prime number theorem in the context of Beurling generalized primes.