Reginald M. Simpson

activity

20242026

collaborators

3 papers

math.NT2026

Correlations of error terms for weighted prime counting functions

Shubhrajit Bhattacharya, Greg Martin, Reginald M. Simpson

Standard prime-number counting functions, such as $I ¨ (x)$ , $I^¸ (x)$ , and $I ¨ (x)$ , have error terms with limiting logarithmic distributions once suitably normalized. The same is true…

math.NT2025

The universal profile of the invariant factors of $(Z / n Z)^{\times}$

Greg Martin, Reginald M. Simpson

The structure of the multiplicative group $M_{n} = (Z / n Z)^{\times}$ encodes a great deal of arithmetic information about the integer $n$ (examples include $I ¨ (n)$ ,…

math.NT2024

An annotated bibliography for comparative prime number theory

Greg Martin, Pu Justin Scarfy Yang, Aram Bahrini +9

The goal of this annotated bibliography is to record every publication on the topic of comparative prime number theory (through mid-2024) together with a summary of its results. We…

Correlations of error terms for weighted prime counting functions

The universal profile of the invariant factors of (Z/nZ)×

An annotated bibliography for comparative prime number theory

The universal profile of the invariant factors of $(Z / n Z)^{\times}$