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Comparative prime number theory: A survey

2012/02/15 by Greg Martin, Martin, Greg, Justin Scarfy +1
Mathematics · #11N13 #11Y35 #Analytic Number Theory Research #FOS: Mathematics #Mathematics and Applications #Number Theory (math.NT) #math.NT #msc:11N13 #msc:11Y35

paper · pdf · doi:10.48550/arxiv.1202.3408

37 pages, this work was also supposed to include a large section on the error term of $π(x)-\li(x)$, hence the reference list is more comprehensive than what is required

arxiv created 2012/02/15 · openalex publication_date 2012/02/15 · arxiv updated 2012/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Comparative prime number theory is the study of the \emdiscrepancies of distributions when we compare the number of primes in different residue classes. This work presents a list of the problems being investigated in comparative prime number theory, their generalizations, and an extensive list of references on both historical and current progresses.

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