Comparative prime number theory: A survey

Mathematics – Number Theory

Scientific paper

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37 pages, this work was also supposed to include a large section on the error term of $\pi(x)-\li(x)$, hence the reference lis

Scientific paper

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.

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