A note on the distribution of prime ideals in real quadratic fields

TL;DR

This paper summarizes existing results on prime ideal distribution in imaginary quadratic fields and extends similar findings to real quadratic fields using analogous methods.

Contribution

It introduces new results on the distribution of prime ideals in real quadratic fields, paralleling prior work on imaginary quadratic fields.

Findings

Distribution patterns of prime ideals in real quadratic fields established

Analogous results to imaginary quadratic fields proven for real quadratic fields

Methodology based on extending previous techniques to new setting

Abstract

In this note, we give a summary of the article ``The distribution of prime ideals of imaginary quadratic fields'' by G. Harman, A. Kumchev and P. A. Lewis and establish analogous results for real quadratic fields based on the same method.