Some examples in the theory of Beurling’s generalized prime numbers

Gregory Debruyne, Jan‐Christoph Schlage‐Puchta, Jasson Vindas

Type: Article

Publication Date: 2016-01-01

Citations: 12

DOI: https://doi.org/10.4064/aa8168-7-2016

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.

Locations

Acta Arithmetica - View
arXiv (Cornell University) - View - PDF
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+	Wiener–Ikehara theorems and the Beurling generalized primes	2014	Wen-Bin Zhang
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+	The prime number theorem for Beurling's generalized numbers	1969	Harold G. Diamond
+ PDF Chat	Integers without large prime factors	1993	Adolf Hildebrand Gérald Tenenbaum