Comparative prime number theory: A survey
Number Theory
2012-02-16 v1
Abstract
Comparative prime number theory is the study of the {\em{discrepancies}} 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.
Cite
@article{arxiv.1202.3408,
title = {Comparative prime number theory: A survey},
author = {Greg Martin and Justin Scarfy},
journal= {arXiv preprint arXiv:1202.3408},
year = {2012}
}
Comments
37 pages, this work was also supposed to include a large section on the error term of $\pi(x)-\li(x)$, hence the reference list is more comprehensive than what is required